ACGL 10-Q Quarterly Report Sept. 30, 2018 | Alphaminr
ARCH CAPITAL GROUP LTD.

ACGL 10-Q Quarter ended Sept. 30, 2018

ARCH CAPITAL GROUP LTD.
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10-Q 1 acgl10q93018.htm 10-Q 9.30.18 Document


UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C.  20549
FORM 10-Q
x
QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the quarterly period ended September 30, 2018
Or
o
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

Commission file number:  001-16209

archlogorgbsolida32.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)

Bermuda
Not applicable
(State or other jurisdiction of incorporation or organization)
(I.R.S. Employer Identification No.)
Waterloo House, Ground Floor
100 Pitts Bay Road, Pembroke HM 08, Bermuda
(441) 278-9250
(Address of principal executive offices)
(Registrant’s telephone number, including area code)

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes þ No o
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit such files). Yes þ No o
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer,” “smaller reporting company,” and “emerging growth company” in Rule 12b-2 of the Exchange Act.
Large accelerated Filer þ Accelerated Filer o Non-accelerated Filer o Smaller reporting company o Emerging growth company o
If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o
Indicate by check mark whether the Registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes o No þ
As of November 7, 2018 , there were 404,724,220 common shares, $0.0011 par value per share, of the registrant outstanding.




ARCH CAPITAL GROUP LTD.
INDEX TO FORM 10-Q

ARCH CAPITAL
1
2018 THIRD QUARTER FORM 10-Q


PART I.  FINANCIAL INFORMATION
Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This report or any other written or oral statements made by or on behalf of us may include forward-looking statements, which reflect our current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this report are forward-looking statements. Forward-looking statements, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve our current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this report and in our periodic reports filed with the Securities and Exchange Commission (the “SEC”), and include:
our ability to successfully implement our business strategy during “soft” as well as “hard” markets;
acceptance of our business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and our insureds and reinsureds;
the integration of any businesses we have acquired or may acquire into our existing operations;
our ability to maintain or improve our ratings, which may be affected by our ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession) and conditions specific to the reinsurance and insurance markets (including the length and magnitude of the current “soft” market) in which we operate;
competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms, or other factors;
developments in the world’s financial and capital markets and our access to such markets;
our ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support our current and new business;
the loss of key personnel;
accuracy of those estimates and judgments utilized in the preparation of our financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting, which for a relatively new insurance and reinsurance company, like our company, are even more difficult to make than those made in a mature company since relatively limited historical information has been reported to us through September 30, 2018 ;
greater than expected loss ratios on business written by us and adverse development on claim and/or claim expense liabilities related to business written by our insurance and reinsurance subsidiaries;
severity and/or frequency of losses;
claims for natural or man-made catastrophic events or severe economic events in our insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in our results of operations;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;
the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to us;
the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by us;
our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our investments;

ARCH CAPITAL
2
2018 THIRD QUARTER FORM 10-Q


changes in general economic conditions, including new or continued sovereign debt concerns in Eurozone countries or downgrades of U.S. securities by credit rating agencies, which could affect our business, financial condition and results of operations;
the volatility of our shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of our projected liabilities in foreign currencies with investments in the same currencies;
changes in accounting principles or policies or in our application of such accounting principles or policies;
changes in the political environment of certain countries in which we operate or underwrite business;
a disruption caused by cyber-attacks or other technology breaches or failures on us or our business partners and service providers, which could negatively impact our business and/or expose us to litigation;
statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to us, our subsidiaries, brokers or customers, including the Tax Cuts and Jobs Act of 2017; and
the other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of our Annual Report on Form 10-K for the year ended December 31, 2017, as well as the other factors set forth in our other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to us or persons acting on our behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. We undertake no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.


ARCH CAPITAL
3
2018 THIRD QUARTER FORM 10-Q



ITEM 1. CONSOLIDATED FINANCIAL STATEMENTS
Page No.
September 30, 2018 (unaudited) and December 31, 2017
For the three and nine month periods ended September 30, 2018 and 2017 (unaudited)
For the three and nine month periods ended September 30, 2018 and 2017 (unaudited)
For the three and nine month periods ended September 30, 2018 and 2017 (unaudited)
For the nine month periods ended September 30, 2018 and 2017 (unaudited)
Notes to Consolidated Financial Statements (unaudited)


ARCH CAPITAL
4
2018 THIRD QUARTER FORM 10-Q



Report of Independent Registered Public Accounting Firm
To the Board of Directors and Shareholders of Arch Capital Group Ltd.:

Results of Review of Financial Statements

We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries as of September 30, 2018 , the related consolidated statements of income, comprehensive income and changes in shareholders’ equity for the three-month and nine-month periods ended September 30, 2018 and September 30, 2017 , and the consolidated statements of cash flows for the nine-month periods ended September 30, 2018 and September 30, 2017 , including the related notes (collectively referred to as the “interim financial statements”). Based on our reviews, we are not aware of any material modifications that should be made to the accompanying interim financial statements for them to be in conformity with accounting principles generally accepted in the United States of America.
We have previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States), the consolidated balance sheet of the Company as of December 31, 2017 , and the related consolidated statements of income, comprehensive income, changes in shareholders’ equity, and of cash flows for the year then ended (not presented herein), and in our report dated February 28, 2018, we expressed an unqualified opinion on those consolidated financial statements. In our opinion, the information set forth in the accompanying consolidated balance sheet as of December 31, 2017 , is fairly stated, in all material respects, in relation to the consolidated balance sheet from which it has been derived.

Basis for Review Results

These interim financial statements are the responsibility of the Company’s management. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (“PCAOB”) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB. We conducted our review in accordance with the standards of the PCAOB. A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters. It is substantially less in scope than an audit conducted in accordance with the standards of the PCAOB, the objective of which is the expression of an opinion regarding the financial statements taken as a whole. Accordingly, we do not express such an opinion.


/s/ PricewaterhouseCoopers LLP

PricewaterhouseCoopers LLP
New York, NY
November 9, 2018

ARCH CAPITAL
5
2018 THIRD QUARTER FORM 10-Q


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
(Unaudited)
September 30,
2018
December 31,
2017
Assets


Investments:


Fixed maturities available for sale, at fair value (amortized cost: $14,510,474 and $13,869,460)
$
14,331,641

$
13,876,003

Short-term investments available for sale, at fair value (amortized cost: $961,993 and $1,468,955)
961,799

1,469,042

Collateral received under securities lending, at fair value (amortized cost: $306,886 and $476,605)
306,893

476,615

Equity securities, at fair value
444,118

495,804

Other investments available for sale, at fair value (cost: $0 and $198,163)

264,989

Investments accounted for using the fair value option
4,097,735

4,216,237

Investments accounted for using the equity method
1,524,242

1,041,322

Total investments
21,666,428

21,840,012

Cash
651,037

606,199

Accrued investment income
106,543

113,133

Securities pledged under securities lending, at fair value (amortized cost: $316,147 and $463,181)
299,409

464,917

Premiums receivable
1,307,466

1,135,249

Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
2,749,785

2,540,143

Contractholder receivables
2,067,268

1,978,414

Ceded unearned premiums
1,011,850

926,611

Deferred acquisition costs
572,987

535,824

Receivable for securities sold
278,753

205,536

Goodwill and intangible assets
566,662

652,611

Other assets
974,346

1,053,009

Total assets
$
32,252,534

$
32,051,658

Liabilities
Reserve for losses and loss adjustment expenses
$
11,554,321

$
11,383,792

Unearned premiums
3,868,379

3,622,314

Reinsurance balances payable
404,936

323,496

Contractholder payables
2,067,268

1,978,414

Collateral held for insured obligations
249,723

240,183

Senior notes
1,733,364

1,732,884

Revolving credit agreement borrowings
554,756

816,132

Securities lending payable
306,886

476,605

Payable for securities purchased
255,427

449,186

Other liabilities
819,373

782,717

Total liabilities
21,814,433

21,805,723

Commitments and Contingencies




Redeemable noncontrolling interests
206,199

205,922

Shareholders' Equity
Non-cumulative preferred shares
780,000

872,555

Convertible non-voting common equivalent preferred shares

489,627

Common shares ($0.0011 par, shares issued: 570,048,156 and 549,872,226)
633

611

Additional paid-in capital
1,775,499

1,230,617

Retained earnings
9,300,208

8,562,889

Accumulated other comprehensive income (loss), net of deferred income tax
(221,041
)
118,044

Common shares held in treasury, at cost (shares: 164,523,796 and 156,938,409)
(2,280,151
)
(2,077,741
)
Total shareholders' equity available to Arch
9,355,148

9,196,602

Non-redeemable noncontrolling interests
876,754

843,411

Total shareholders' equity
10,231,902

10,040,013

Total liabilities, noncontrolling interests and shareholders' equity
$
32,252,534

$
32,051,658


See Notes to Consolidated Financial Statements

ARCH CAPITAL
6
2018 THIRD QUARTER FORM 10-Q


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
(Unaudited)
(Unaudited)
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Revenues




Net premiums written
$
1,333,553

$
1,325,403

$
4,044,993

$
3,850,358

Change in unearned premiums
(42,675
)
(63,517
)
(182,453
)
(230,581
)
Net premiums earned
1,290,878

1,261,886

3,862,540

3,619,777

Net investment income
144,024

116,459

406,416

345,457

Net realized gains (losses)
(51,705
)
66,275

(239,314
)
122,163

Other-than-temporary impairment losses
(492
)
(1,878
)
(1,124
)
(5,415
)
Less investment impairments recognized in other comprehensive income, before taxes




Net impairment losses recognized in earnings
(492
)
(1,878
)
(1,124
)
(5,415
)
Other underwriting income
5,823

6,064

15,046

15,519

Equity in net income (loss) of investment funds accounted for using the equity method
15,982

31,090

52,523

111,884

Other income (loss)
(726
)
(342
)
2,461

(3,118
)
Total revenues
1,403,784

1,479,554

4,098,548

4,206,267

Expenses
Losses and loss adjustment expenses
699,420

1,046,141

2,062,433

2,288,571

Acquisition expenses
201,602

193,854

595,816

566,579

Other operating expenses
161,098

170,127

512,294

514,827

Corporate expenses
14,335

17,098

52,159

69,766

Amortization of intangible assets
26,315

31,824

79,523

93,942

Interest expense
29,730

29,510

90,710

86,935

Net foreign exchange (gains) losses
(10,838
)
28,028

(44,823
)
86,975

Total expenses
1,121,662

1,516,582

3,348,112

3,707,595

Income (loss) before income taxes
282,122

(37,028
)
750,436

498,672

Income tax expense
(33,356
)
(8,189
)
(78,939
)
(70,755
)
Net income (loss)
$
248,766

$
(45,217
)
$
671,497

$
427,917

Net (income) loss attributable to noncontrolling interests
(21,358
)
11,561

(50,020
)
(23,279
)
Net income (loss) available to Arch
227,408

(33,656
)
621,477

404,638

Preferred dividends
(10,402
)
(12,369
)
(31,242
)
(34,936
)
Loss on redemption of preferred shares

(6,735
)
(2,710
)
(6,735
)
Net income (loss) available to Arch common shareholders
$
217,006

$
(52,760
)
$
587,525

$
362,967

Net income (loss) per common share and common share equivalent




Basic
$
0.54

$
(0.13
)
$
1.45

$
0.90

Diluted
$
0.53

$
(0.13
)
$
1.42

$
0.87

Weighted average common shares and common share equivalents outstanding


Basic
402,939,092

404,656,353

405,076,228

403,416,387

Diluted
411,721,214

404,656,353

413,993,192

417,666,972





See Notes to Consolidated Financial Statements

ARCH CAPITAL
7
2018 THIRD QUARTER FORM 10-Q


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
(Unaudited)
(Unaudited)
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Comprehensive Income


Net income (loss)
$
248,766

$
(45,217
)
$
671,497

$
427,917

Other comprehensive income (loss), net of deferred income tax
Unrealized appreciation (decline) in value of available-for-sale investments:
Unrealized holding gains (losses) arising during period
(53,308
)
66,462

(305,256
)
260,223

Reclassification of net realized (gains) losses, net of income taxes, included in net income (loss)
23,203

(23,912
)
122,307

(46,180
)
Foreign currency translation adjustments
2,063

8,280

(9,250
)
29,701

Comprehensive income
220,724

5,613

479,298

671,661

Net (income) loss attributable to noncontrolling interests
(21,358
)
11,561

(50,020
)
(23,279
)
Other comprehensive (income) loss attributable to noncontrolling interests
1,158

411

2,908

479

Comprehensive income available to Arch
$
200,524

$
17,585

$
432,186

$
648,861





See Notes to Consolidated Financial Statements

ARCH CAPITAL
8
2018 THIRD QUARTER FORM 10-Q


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY
(U.S. dollars in thousands)
(Unaudited)
(Unaudited)
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Non-cumulative preferred shares


Balance at beginning of period
$
780,000

$
772,555

$
872,555

$
772,555

Preferred shares issued

230,000


230,000

Preferred shares redeemed

(230,000
)
(92,555
)
(230,000
)
Balance at end of period
780,000

772,555

780,000

772,555

Convertible non-voting common equivalent preferred shares
Balance at beginning of period

489,627

489,627

1,101,304

Preferred shares converted to common shares


(489,627
)
(611,677
)
Balance at end of period

489,627


489,627

Common shares
Balance at beginning of period
633

609

611

582

Common shares issued, net

1

22

28

Balance at end of period
633

610

633

610

Additional paid-in capital


Balance at beginning of period
1,760,606

1,196,884

1,230,617

531,687

Preferred shares converted to common shares


489,608

611,653

Other changes
14,893


16,076


55,274


69,620

Balance at end of period
1,775,499

1,212,960

1,775,499

1,212,960

Retained earnings


Balance at beginning of period
9,083,202

8,412,114

8,562,889

7,996,701

Cumulative effect of an accounting change (see Note 1)


149,794

(314
)
Balance at beginning of period, as adjusted
9,083,202

8,412,114

8,712,683

7,996,387

Net income
248,766

(45,217
)
671,497

427,917

Net (income) loss attributable to noncontrolling interests
(21,358
)
11,561

(50,020
)
(23,279
)
Preferred share dividends
(10,402
)
(12,369
)
(31,242
)
(34,936
)
Loss on redemption of preferred shares

(6,735
)
(2,710
)
(6,735
)
Balance at end of period
9,300,208

8,359,354

9,300,208

8,359,354

Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period
(194,157
)
78,441

118,044

(114,541
)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of period
(143,353
)
143,852

157,400

(27,641
)
Cumulative effect of an accounting change (see Note 1)


(149,794
)

Balance at beginning of period, as adjusted
(143,353
)
143,852

7,606

(27,641
)
Unrealized holding gains (losses) during period, net of reclassification adj.
(30,105
)
42,550

(182,949
)
214,043

Unrealized holding gains (losses) during period attrib. to noncontrolling int.
1,238


3,123


Balance at end of period
(172,220
)
186,402

(172,220
)
186,402

Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of period
(50,804
)
(65,411
)
(39,356
)
(86,900
)
Foreign currency translation adjustments
2,063

8,280

(9,250
)
29,701

Foreign currency translation adjustments attributable to noncontrolling int.
(80
)
411

(215
)
479

Balance at end of period
(48,821
)
(56,720
)
(48,821
)
(56,720
)
Balance at end of period
(221,041
)
129,682

(221,041
)
129,682

Common shares held in treasury, at cost
Balance at beginning of period
(2,266,529
)
(2,051,343
)
(2,077,741
)
(2,034,570
)
Shares repurchased for treasury
(13,622
)
(2,301
)
(202,410
)
(19,074
)
Balance at end of period
(2,280,151
)
(2,053,644
)
(2,280,151
)
(2,053,644
)
Total shareholders’ equity available to Arch
9,355,148

8,911,144

9,355,148

8,911,144

Non-redeemable noncontrolling interests
876,754

860,898

876,754

860,898

Total shareholders’ equity
$
10,231,902

$
9,772,042

$
10,231,902

$
9,772,042



See Notes to Consolidated Financial Statements

ARCH CAPITAL
9
2018 THIRD QUARTER FORM 10-Q


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
(Unaudited)
Nine Months Ended
September 30,
2018
2017
Operating Activities


Net income
$
671,497

$
427,917

Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses
224,757

(141,944
)
Net impairment losses recognized in earnings
1,124

5,415

Equity in net income or loss of investment funds accounted for using the equity method and other income or loss
6,357

(63,784
)
Amortization of intangible assets
79,523

93,942

Share-based compensation
45,806

58,308

Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable
68,245

602,652

Unearned premiums, net of ceded unearned premiums
182,453

230,581

Premiums receivable
(203,247
)
(167,143
)
Deferred acquisition costs
(36,074
)
(73,631
)
Reinsurance balances payable
83,696

37,528

Other items, net
(3,150
)
50,868

Net cash provided by operating activities
1,120,987

1,060,709

Investing Activities


Purchases of fixed maturity investments
(24,837,917
)
(28,079,129
)
Purchases of equity securities
(819,342
)
(667,135
)
Purchases of other investments
(1,543,332
)
(1,406,528
)
Proceeds from sales of fixed maturity investments
23,310,203

27,629,474

Proceeds from sales of equity securities
866,919

751,873

Proceeds from sales, redemptions and maturities of other investments
1,178,035

938,581

Proceeds from redemptions and maturities of fixed maturity investments
724,021

747,621

Net settlements of derivative instruments
765

(20,952
)
Net sales (purchases) of short-term investments
554,315

(964,653
)
Change in cash collateral related to securities lending
137,073

148,692

Acquisitions, net of cash

(27,709
)
Purchases of fixed assets
(19,050
)
(16,862
)
Other
58,227

94,089

Net cash provided by (used for) investing activities
(390,083
)
(872,638
)
Financing Activities


Proceeds from issuance of preferred shares, net

222,054

Redemption of preferred shares
(92,555
)
(230,000
)
Purchases of common shares under share repurchase program
(184,529
)

Proceeds from common shares issued, net
(12,029
)
(7,484
)
Proceeds from borrowings
167,259

238,915

Repayments of borrowings
(427,000
)
(172,000
)
Change in cash collateral related to securities lending
(137,073
)
(148,692
)
Dividends paid to redeemable noncontrolling interests
(13,491
)
(13,491
)
Other
(6,084
)
(49,280
)
Preferred dividends paid
(31,242
)
(34,936
)
Net cash provided by (used for) financing activities
(736,744
)
(194,914
)
Effects of exchange rate changes on foreign currency cash and restricted cash
(11,625
)
17,888

Increase (decrease) in cash and restricted cash
(17,465
)
11,045

Cash and restricted cash, beginning of year
727,284

969,569

Cash and restricted cash, end of period
$
709,819

$
980,614



See Notes to Consolidated Financial Statements

ARCH CAPITAL
10
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

1 .    Basis of Presentation and Recent Accounting Pronouncements

Basis of Presentation
Arch Capital Group Ltd. (“Arch Capital”) is a Bermuda public limited liability company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly-owned subsidiaries. As used herein, the “Company” means Arch Capital and its subsidiaries. The Company’s consolidated financial statements include the results of Watford Holdings Ltd. and its wholly owned subsidiaries. See Note 10 .
The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”). All significant intercompany transactions and balances have been eliminated in consolidation. The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods.
Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 2017 (“2017 Form 10-K”), including the Company’s audited consolidated financial statements and related notes.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, comprehensive income, shareholders’ equity or cash flows. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
Recent Accounting Pronouncements
Recently Issued Accounting Standards Adopted
The Company adopted ASU 2016-01, “Financial Instruments - Overall (Subtopic 825-10) - Recognition and Measurement of
Financial Assets and Financial Liabilities,” which enhances the reporting model for financial instruments and provides improved financial information to readers of the financial statements. Among other provisions focused on improving the recognition and measurement of financial instruments, the ASU significantly changes the income statement impact of equity instruments and the recognition of changes in fair value of financial liabilities attributable to an entity's own credit risk when the fair value option is elected. The ASU requires equity instruments that do not result in consolidation and are not accounted for under the equity method to be measured at fair value with any changes in fair value recognized in net income rather than other comprehensive income. Upon adoption of this ASU, the Company recorded a cumulative effect adjustment of $149.8 million in retained earnings and an offsetting decrease in accumulated other comprehensive income. The adoption of this ASU did not have a material impact on the Company's financial position, cash flows, or total comprehensive income, but may increase volatility in the Company's results of operations in future periods.
The Company adopted Financial Accounting Standards Board (“FASB”) Accounting Standard Update (“ASU”) 2014-09, “Revenue from Contracts with Customers (Topic 606),” which creates a new comprehensive revenue recognition standard that serves as a single source of revenue guidance for all companies in all industries. The guidance applies to all companies that either enter into contracts with customers to transfer goods or services or enter into contracts for the transfer of non-financial assets, unless those contracts are within the scope of other standards, such as insurance contracts or financial instruments. The ASU also requires enhanced disclosures about revenue. The Company adopted the ASU using the modified retrospective method, whereby the cumulative effect of adoption was recognized as an adjustment to retained earnings at the date of initial application. The impact of the adoption of this ASU was not material, mostly because the accounting for insurance contracts is outside of the scope of ASU 2014-09.
The Company adopted ASU 2016-18, “Statement of Cash Flows (Topic 230) - Restricted Cash,” which requires that restricted cash and restricted cash equivalents be included with cash and cash equivalents in the reconciliation of beginning and ending cash on the statements of cash flows. As a result, transfers between cash and cash equivalents and restricted cash and restricted cash equivalents will no longer be presented on the statement of cash flows. The revised presentation required in this ASU is reflected in the Company’s consolidated statements of cash flows for both periods presented. The adoption of this ASU did not have any effect on the Company’s results of operations, financial position or comprehensive income.

ARCH CAPITAL
11
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Recently Issued Accounting Standards Not Yet Adopted
In July 2018, the FASB issued ASU 2018-11, “Leases: Targeted Improvements (Topic 842),” which will ease implementation of the lease standard (ASU 2016-02). The guidance provides an alternative transition method by which leases are recognized at the date of adoption. Entities that elect this transition option will still be required to adopt the new leases standard using the modified retrospective transition method required by the standard, but they will recognize a cumulative-effect adjustment to the opening balance of retained earnings in the period of adoption rather than in the earliest period presented. The Company will adopt this alternative transition method when adopting the new lease standard as of January 1, 2019. The Company is currently evaluating the impact of the new guidance on the consolidated financial statements.
In August 2018, the FASB issued ASU 2018-15, “Intangibles - Goodwill and Other - Internal-Use Software (Subtopic 350-40),” to align the requirements for capitalizing certain implementation costs incurred in a cloud computing arrangement that is a service contract with the requirements for capitalizing implementation costs incurred to develop or obtain internal-use software. The standard is effective for financial statements issued for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2019, with early adoption permitted. The guidance provides flexibility in adoption, allowing for either retrospective adjustment or prospective adjustment for all implementation costs incurred after the date of adoption. The Company is currently evaluating the impact of the new guidance on the consolidated financial statements.
For information regarding additional accounting standards that the Company has not yet adopted, see note 3(q), “Significant Accounting Policies—Recent Accounting Pronouncements,” of the notes to consolidated financial statements in the Company’s 2017 Form 10-K.
2 .    Share Transactions

Three-For-One Common Share Split
In May 2018, shareholders approved a proposal to amend the memorandum of association by sub-dividing the authorized common shares of Arch Capital to effect a three -for-one split of Arch Capital’s common shares. The share split changed the Company’s authorized common shares to 1.8 billion common shares ( 600 million previously), with a par value of $.0011 per share ( $.0033 previously). Information pertaining to the composition of the Company’s shareholders’ equity accounts, shares and earnings per share has been retroactively restated in the accompanying financial statements and notes to the consolidated financial statements to reflect the share split.
Share Repurchases
The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program, Arch Capital has repurchased 382.6 million common shares for an aggregate purchase price of $3.87 billion . For the nine months ended September 30, 2018 , Arch Capital repurchased 6.9 million shares under the share repurchase program with an aggregate purchase price of $184.5 million . Arch Capital did not repurchase any shares under the share repurchase program during the nine months ended September 30, 2017 . At September 30, 2018 , $262.0 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.
Conversion of Convertible Non-Voting Common Equivalent Preferred Shares
In March 2018, Arch Capital completed an underwritten public secondary offering of 17.0 million common shares (split adjusted) by American International Group, Inc. (“AIG”) following transfer of 0.6 million Series D convertible non-voting common equivalent preferred shares (“Series D Preferred Shares”). Proceeds from the sale of common shares pursuant to the public offering were received by AIG. At September 30, 2018 , no Series D Preferred Shares were outstanding.
Series C Preferred Shares
On January 2, 2018, Arch Capital redeemed all outstanding 6.75% Series C non-cumulative preferred shares. The preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares have been removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.

ARCH CAPITAL
12
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

3 .    Earnings (Loss) Per Common Share

Due to the net loss recorded in the 2017 third quarter, diluted weighted average common shares and common share equivalents outstanding for the 2017 third quarter do not include the effect of 4.7 million otherwise dilutive securities since the inclusion of such securities is anti-dilutive to per share results. Since the Company reported net income for the other periods presented, the computation of diluted average shares outstanding includes dilutive securities for such periods.
The following table sets forth the computation of basic and diluted earnings per common share:
Three Months Ended

Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Numerator:
Net income (loss)
$
248,766

$
(45,217
)
$
671,497

$
427,917

Amounts attributable to noncontrolling interests
(21,358
)
11,561

(50,020
)
(23,279
)
Net income (loss) available to Arch
227,408

(33,656
)
621,477

404,638

Preferred dividends
(10,402
)
(12,369
)
(31,242
)
(34,936
)
Loss on redemption of preferred shares

(6,735
)
(2,710
)
(6,735
)
Net income (loss) available to Arch common shareholders
$
217,006

$
(52,760
)
$
587,525

$
362,967

Denominator:
Weighted average common shares outstanding
402,939,092

387,633,753

400,649,105

373,579,833

Series D preferred shares (1)

17,022,600

4,427,123

29,836,554

Weighted average common shares and common share equivalents outstanding — basic
402,939,092

404,656,353

405,076,228

403,416,387

Effect of dilutive common share equivalents:
Nonvested restricted shares
1,619,286


1,568,044

4,379,637

Stock options (2)
7,162,836


7,348,920

9,870,948

Weighted average common shares and common share equivalents outstanding — diluted
411,721,214

404,656,353

413,993,192

417,666,972

Earnings (loss) per common share:
Basic
$
0.54

$
(0.13
)
$
1.45

$
0.90

Diluted
$
0.53

$
(0.13
)
$
1.42

$
0.87

(1)
Such shares are convertible non-voting common equivalent preferred shares issued in connection with the UGC acquisition. See Note 2 .
(2)
Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For the 2018 third quarter and 2017 third quarter , the number of stock options excluded were 4,396,352 and 0 , respectively. For the nine months ended September 30, 2018 and 2017 , the number of stock options excluded were 5,481,584 and 2,516,604 , respectively.

ARCH CAPITAL
13
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

4 .    Segment Information

The Company classifies its businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — ‘other’ and corporate (non-underwriting). The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the President and Chief Executive Officer of Arch Capital, and the Chief Financial Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: construction and national accounts; excess and surplus casualty; lenders products; professional lines; programs; property, energy, marine and aviation; travel, accident and health; and other (consisting of alternative markets, excess workers' compensation and surety business).
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe (losses on a single risk, both excess of loss and pro rata); and other (consisting of life reinsurance, casualty clash and other).
The mortgage segment includes the Company’s U.S. and international mortgage insurance and reinsurance operations as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions. Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”) are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE.
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, transaction costs and other, interest expense, items related to the Company’s non-cumulative preferred shares, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and income taxes. Such amounts exclude the results of the ‘other’ segment.
The ‘other’ segment includes the results of Watford Re (see Note 10 ). Watford Re has its own management and board of directors that is responsible for the overall profitability of the ‘other’ segment. For the ‘other’ segment, performance is measured based on net income or loss.

ARCH CAPITAL
14
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders:
Three Months Ended
September 30, 2018
Insurance
Reinsurance
Mortgage
Sub-Total
Other
Total
Gross premiums written (1)
$
836,820

$
435,396

$
350,559

$
1,622,532

$
185,033

$
1,731,328

Premiums ceded
(259,968
)
(123,705
)
(57,226
)
(440,656
)
(33,356
)
(397,775
)
Net premiums written
576,852

311,691

293,333

1,181,876

151,677

1,333,553

Change in unearned premiums
(15,794
)
(18,418
)
7,591

(26,621
)
(16,054
)
(42,675
)
Net premiums earned
561,058

293,273

300,924

1,155,255

135,623

1,290,878

Other underwriting income (loss)

1,387

3,733

5,120

703

5,823

Losses and loss adjustment expenses
(409,435
)
(183,413
)
(9,615
)
(602,463
)
(96,957
)
(699,420
)
Acquisition expenses
(88,255
)
(50,367
)
(33,361
)
(171,983
)
(29,619
)
(201,602
)
Other operating expenses
(90,081
)
(29,936
)
(31,122
)
(151,139
)
(9,959
)
(161,098
)
Underwriting income (loss)
$
(26,713
)
$
30,944

$
230,559

234,790

(209
)
234,581

Net investment income
114,328

29,696

144,024

Net realized gains (losses)
(47,010
)
(4,695
)
(51,705
)
Net impairment losses recognized in earnings
(492
)

(492
)
Equity in net income (loss) of investment funds accounted for using the equity method
15,982


15,982

Other income (loss)
(726
)

(726
)
Corporate expenses (2)
(13,244
)

(13,244
)
Transaction costs and other (2)
(1,091
)

(1,091
)
Amortization of intangible assets
(26,315
)

(26,315
)
Interest expense
(24,666
)
(5,064
)
(29,730
)
Net foreign exchange gains (losses)
7,130

3,708

10,838

Income before income taxes
258,686

23,436

282,122

Income tax expense
(33,356
)

(33,356
)
Net income
225,330

23,436

248,766

Dividends attributable to redeemable noncontrolling interests

(4,599
)
(4,599
)
Amounts attributable to nonredeemable noncontrolling interests

(16,759
)
(16,759
)
Net income available to Arch
225,330

2,078

227,408

Preferred dividends
(10,402
)

(10,402
)
Net income available to Arch common shareholders
$
214,928

$
2,078

$
217,006

Underwriting Ratios





Loss ratio
73.0
%
62.5
%
3.2
%
52.1
%
71.5
%
54.2
%
Acquisition expense ratio
15.7
%
17.2
%
11.1
%
14.9
%
21.8
%
15.6
%
Other operating expense ratio
16.1
%
10.2
%
10.3
%
13.1
%
7.3
%
12.5
%
Combined ratio
104.8
%
89.9
%
24.6
%
80.1
%
100.6
%
82.3
%
Goodwill and intangible assets
$
20,141

$

$
538,871

$
559,012

$
7,650

$
566,662

(1)
Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)
Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’


ARCH CAPITAL
15
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Three Months Ended
September 30, 2017
Insurance
Reinsurance
Mortgage
Sub-Total
Other
Total
Gross premiums written (1)
$
787,447

$
422,083

$
347,951

$
1,557,179

$
166,198

$
1,648,246

Premiums ceded
(222,516
)
(105,389
)
(57,900
)
(385,503
)
(12,471
)
(322,843
)
Net premiums written
564,931

316,694

290,051

1,171,676

153,727

1,325,403

Change in unearned premiums
(29,766
)
6,879

(15,533
)
(38,420
)
(25,097
)
(63,517
)
Net premiums earned
535,165

323,573

274,518

1,133,256

128,630

1,261,886

Other underwriting income (loss)

1,728

3,599

5,327

737

6,064

Losses and loss adjustment expenses
(568,795
)
(318,609
)
(35,156
)
(922,560
)
(123,581
)
(1,046,141
)
Acquisition expenses
(82,638
)
(57,340
)
(21,803
)
(161,781
)
(32,073
)
(193,854
)
Other operating expenses
(90,875
)
(36,214
)
(34,770
)
(161,859
)
(8,268
)
(170,127
)
Underwriting income (loss)
$
(207,143
)
$
(86,862
)
$
186,388

(107,617
)
(34,555
)
(142,172
)
Net investment income
94,127

22,332

116,459

Net realized gains (losses)
64,104

2,171

66,275

Net impairment losses recognized in earnings
(1,878
)

(1,878
)
Equity in net income (loss) of investment funds accounted for using the equity method
31,090


31,090

Other income (loss)
(342
)

(342
)
Corporate expenses (2)
(14,108
)

(14,108
)
Transaction costs and other (2)
(2,990
)

(2,990
)
Amortization of intangible assets
(31,824
)

(31,824
)
Interest expense
(26,264
)
(3,246
)
(29,510
)
Net foreign exchange gains (losses)
(27,785
)
(243
)
(28,028
)
Income (loss) before income taxes
(23,487
)
(13,541
)
(37,028
)
Income tax expense
(8,168
)
(21
)
(8,189
)
Net income (loss)
(31,655
)
(13,562
)
(45,217
)
Dividends attributable to redeemable noncontrolling interests

(4,586
)
(4,586
)
Amounts attributable to nonredeemable noncontrolling interests

16,147

16,147

Net income (loss) available to Arch
(31,655
)
(2,001
)
(33,656
)
Preferred dividends
(12,369
)

(12,369
)
Loss on redemption of preferred shares
(6,735
)

(6,735
)
Net income (loss) available to Arch common shareholders
$
(50,759
)
$
(2,001
)
$
(52,760
)
Underwriting Ratios





Loss ratio
106.3
%
98.5
%
12.8
%
81.4
%
96.1
%
82.9
%
Acquisition expense ratio
15.4
%
17.7
%
7.9
%
14.3
%
24.9
%
15.4
%
Other operating expense ratio
17.0
%
11.2
%
12.7
%
14.3
%
6.4
%
13.5
%
Combined ratio
138.7
%
127.4
%
33.4
%
110.0
%
127.4
%
111.8
%
Goodwill and intangible assets
$
23,445

$
417

$
652,893

$
676,755

$
7,650

$
684,405


(1)
Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)
Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’


ARCH CAPITAL
16
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Nine Months Ended
September 30, 2018
Insurance
Reinsurance
Mortgage
Sub-Total
Other
Total
Gross premiums written (1)
$
2,429,570

$
1,503,206

$
1,002,727

$
4,935,339

$
574,078

$
5,266,086

Premiums ceded
(752,413
)
(455,682
)
(154,230
)
(1,362,161
)
(102,263
)
(1,221,093
)
Net premiums written
1,677,157

1,047,524

848,497

3,573,178

471,815

4,044,993

Change in unearned premiums
(30,913
)
(134,761
)
23,147

(142,527
)
(39,926
)
(182,453
)
Net premiums earned
1,646,244

912,763

871,644

3,430,651

431,889

3,862,540

Other underwriting income (loss)

2,490

10,464

12,954

2,092

15,046

Losses and loss adjustment expenses
(1,120,630
)
(555,044
)
(74,672
)
(1,750,346
)
(312,087
)
(2,062,433
)
Acquisition expenses
(264,094
)
(148,828
)
(87,665
)
(500,587
)
(95,229
)
(595,816
)
Other operating expenses
(274,735
)
(101,185
)
(108,622
)
(484,542
)
(27,752
)
(512,294
)
Underwriting income (loss)
$
(13,215
)
$
110,196

$
611,149

708,130

(1,087
)
707,043

Net investment income
322,332

84,084

406,416

Net realized gains (losses)
(218,414
)
(20,900
)
(239,314
)
Net impairment losses recognized in earnings
(1,124
)

(1,124
)
Equity in net income (loss) of investment funds accounted for using the equity method
52,523


52,523

Other income (loss)
2,461


2,461

Corporate expenses (2)
(43,330
)

(43,330
)
Transaction costs and other (2)
(8,829
)

(8,829
)
Amortization of intangible assets
(79,523
)

(79,523
)
Interest expense
(76,631
)
(14,079
)
(90,710
)
Net foreign exchange gains (losses)
38,302

6,521

44,823

Income before income taxes
695,897

54,539

750,436

Income tax expense
(78,912
)
(27
)
(78,939
)
Net income
616,985

54,512

671,497

Dividends attributable to redeemable noncontrolling interests

(13,769
)
(13,769
)
Amounts attributable to nonredeemable noncontrolling interests

(36,251
)
(36,251
)
Net income available to Arch
616,985

4,492

621,477

Preferred dividends
(31,242
)

(31,242
)
Loss on redemption of preferred shares
(2,710
)

(2,710
)
Net income available to Arch common shareholders
$
583,033

$
4,492

$
587,525

Underwriting Ratios





Loss ratio
68.1
%
60.8
%
8.6
%
51.0
%
72.3
%
53.4
%
Acquisition expense ratio
16.0
%
16.3
%
10.1
%
14.6
%
22.0
%
15.4
%
Other operating expense ratio
16.7
%
11.1
%
12.5
%
14.1
%
6.4
%
13.3
%
Combined ratio
100.8
%
88.2
%
31.2
%
79.7
%
100.7
%
82.1
%
(1)
Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)
Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITAL
17
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Nine Months Ended
September 30, 2017
Insurance
Reinsurance
Mortgage
Sub-Total
Other
Total
Gross premiums written (1)
$
2,313,630

$
1,351,051

$
1,032,800

$
4,697,007

$
473,131

$
4,915,895

Premiums ceded
(704,057
)
(386,743
)
(194,139
)
(1,284,465
)
(35,315
)
(1,065,537
)
Net premiums written
1,609,573

964,308

838,661

3,412,542

437,816

3,850,358

Change in unearned premiums
(51,188
)
(81,182
)
(61,776
)
(194,146
)
(36,435
)
(230,581
)
Net premiums earned
1,558,385

883,126

776,885

3,218,396

401,381

3,619,777

Other underwriting income (loss)

1,143

11,999

13,142

2,377

15,519

Losses and loss adjustment expenses
(1,252,375
)
(631,669
)
(84,915
)
(1,968,959
)
(319,612
)
(2,288,571
)
Acquisition expenses
(236,378
)
(154,638
)
(76,235
)
(467,251
)
(99,328
)
(566,579
)
Other operating expenses
(271,268
)
(110,458
)
(108,790
)
(490,516
)
(24,311
)
(514,827
)
Underwriting income (loss)
$
(201,636
)
$
(12,496
)
$
518,944

304,812

(39,493
)
265,319

Net investment income
282,459

62,998

345,457

Net realized gains (losses)
110,662

11,501

122,163

Net impairment losses recognized in earnings
(5,415
)

(5,415
)
Equity in net income (loss) of investment funds accounted for using the equity method
111,884


111,884

Other income (loss)
(3,118
)

(3,118
)
Corporate expenses (2)
(48,517
)

(48,517
)
Transaction costs and other (2)
(21,249
)

(21,249
)
Amortization of intangible assets
(93,942
)

(93,942
)
Interest expense
(77,932
)
(9,003
)
(86,935
)
Net foreign exchange gains (losses)
(85,451
)
(1,524
)
(86,975
)
Income before income taxes
474,193

24,479

498,672

Income tax expense
(70,734
)
(21
)
(70,755
)
Net income
403,459

24,458

427,917

Dividends attributable to redeemable noncontrolling interests

(13,756
)
(13,756
)
Amounts attributable to nonredeemable noncontrolling interests

(9,523
)
(9,523
)
Net income available to Arch
403,459

1,179

404,638

Preferred dividends
(34,936
)

(34,936
)
Loss on redemption of preferred shares
(6,735
)

(6,735
)
Net income available to Arch common shareholders
$
361,788

$
1,179

$
362,967

Underwriting Ratios





Loss ratio
80.4
%
71.5
%
10.9
%
61.2
%
79.6
%
63.2
%
Acquisition expense ratio
15.2
%
17.5
%
9.8
%
14.5
%
24.7
%
15.7
%
Other operating expense ratio
17.4
%
12.5
%
14.0
%
15.2
%
6.1
%
14.2
%
Combined ratio
113.0
%
101.5
%
34.7
%
90.9
%
110.4
%
93.1
%

(1)
Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)
Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’


ARCH CAPITAL
18
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

5 .    Reserve for Losses and Loss Adjustment Expenses

The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Reserve for losses and loss adjustment expenses at beginning of period
$
11,424,337

$
10,520,511

$
11,383,792

$
10,200,960

Unpaid losses and loss adjustment expenses recoverable
2,651,749

2,116,210

2,464,910

2,083,575

Net reserve for losses and loss adjustment expenses at beginning of period
8,772,588

8,404,301

8,918,882

8,117,385

Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year
779,043

1,091,373

2,257,670

2,486,410

Prior years
(79,623
)
(45,232
)
(195,237
)
(197,839
)
Total net incurred losses and loss adjustment expenses
699,420

1,046,141

2,062,433

2,288,571

Retroactive reinsurance transaction (1)


(420,404
)

Net foreign exchange (gains) losses
(33,783
)
61,919

(110,061
)
168,493

Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year
(149,999
)
(167,450
)
(245,021
)
(282,952
)
Prior years
(396,695
)
(457,183
)
(1,314,298
)
(1,403,769
)
Total net paid losses and loss adjustment expenses
(546,694
)
(624,633
)
(1,559,319
)
(1,686,721
)
Net reserve for losses and loss adjustment expenses at end of period
8,891,531

8,887,728

8,891,531

8,887,728

Unpaid losses and loss adjustment expenses recoverable
2,662,790

2,463,539

2,662,790

2,463,539

Reserve for losses and loss adjustment expenses at end of period
$
11,554,321

$
11,351,267

$
11,554,321

$
11,351,267

(1)
During the 2018 second quarter, a subsidiary of the Company entered into a retroactive reinsurance transaction with a third party reinsurer to reinsure run-off liabilities associated with certain discontinued U.S. specialty casualty and program exposures.

Development on Prior Year Loss Reserves

2018 Third Quarter

During the 2018 third quarter , the Company recorded net favorable development on prior year loss reserves of $79.6 million , which consisted of $34.3 million from the reinsurance segment, $5.9 million from the insurance segment, $38.6 million from the mortgage segment and $0.7 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $34.3 million , or 11.7 loss ratio points, for the 2018 third quarter consisted of $26.5 million from short-tailed lines and $7.8 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $15.9 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years ( i.e. , all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period, and $10.3 million from other specialty reserves, primarily from the 2016
underwriting year. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $7.9 million based on varying levels of reported and paid claims activity, primarily from the 2009 underwriting year.
The insurance segment’s net favorable development of $5.9 million , or 1.1 loss ratio points, for the 2018 third quarter consisted of $14.3 million of net favorable development in short-tailed lines and $8.4 million of net adverse development in medium-tailed and long-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2017 accident year ( i.e. , the year in which a loss occurred) while net adverse development in medium-tailed and long-tailed lines primarily resulted from $16.4 million of adverse development on contract binding business, primarily from the 2015 to 2017 accident years. Such amounts were partially offset by $8.0 million of net favorable development in other medium-tailed and short-tailed lines, including professional liability and surety business, across most accident years.

ARCH CAPITAL
19
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The mortgage segment’s net favorable development was $38.6 million , or 12.8 loss ratio points, for the 2018 third quarter . The 2018 third quarter development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business at Arch MI U.S.
2017 Third Quarter
During the 2017 third quarter , the Company recorded net favorable development on prior year loss reserves of $45.2 million , which consisted of $36.5 million from the reinsurance segment, $3.0 million from the insurance segment, $21.5 million from the mortgage segment and adverse development of $15.8 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $36.5 million , or 11.3 loss ratio points, for the 2017 third quarter consisted of $16.9 million from short-tailed lines and $19.6 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $11.8 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $13.4 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2009 underwriting years, and favorable development in marine reserves of $4.3 million across most underwriting years.
The insurance segment’s net favorable development of $3.0 million , or 0.6 loss ratio points, for the 2017 third quarter consisted of $1.8 million of net favorable development in short-tailed lines and $1.2 million of net favorable development in medium-tailed and long-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2011 to 2016 accident years. Net favorable development in medium-tailed lines reflected $11.9 million from professional liability reserves across most accident years and in surety reserves with $4.2 million of favorable development. Such amounts were partially offset by $12.9 million of adverse development on a small number of programs in the 2014 to 2016 accident years.
The mortgage segment’s net favorable development was $21.5 million , or 7.8 loss ratio points, for the 2017 third quarter . The 2017 third quarter development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business at Arch MI U.S.
Nine Months Ended September 30, 2018
During the nine months ended September 30, 2018 , the Company recorded net favorable development on prior year loss reserves of $195.2 million , which consisted of $103.9 million from the reinsurance segment, $14.1 million from the insurance segment, $74.9 million from the mortgage segment and $2.3 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $103.9 million , or 11.4 loss ratio points, for the 2018 period consisted of $77.6 million from short-tailed lines and $26.3 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $56.4 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period, and $10.7 million from other specialty reserves, across most underwriting years. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $16.0 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2010 underwriting years, and favorable development in marine reserves of $10.8 million across most underwriting years.
The insurance segment’s net favorable development of $14.1 million , or 0.9 loss ratio points, for the 2018 period consisted of $37.0 million of net favorable development in short-tailed lines and $16.4 million of net favorable development in long-tailed lines, partially offset by $39.3 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2010 and 2017 accident years. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves of $8.0 million , primarily from the 2008 accident year, and in healthcare reserves of $8.1 million , primarily from the 2003 accident year. Net adverse development in medium-tailed lines reflected $23.4 million of adverse development in program business, primarily driven by a few inactive programs that were non-renewed in prior periods and $42.1 million of adverse development on contract binding business, primarily from the 2014 to 2017 accident years. Such amounts were partially offset by $26.2 million of net favorable development in other medium-tailed lines, including professional liability and surety business, across most accident years.
The mortgage segment’s net favorable development was $74.9 million , or 8.6 loss ratio points, for the 2018 period. The 2018 development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business at Arch MI U.S.

ARCH CAPITAL
20
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Nine Months Ended September 30, 2017
During the nine months ended September 30, 2017, the Company recorded net favorable development on prior year loss reserves of $197.8 million , which consisted of $133.3 million from the reinsurance segment, $7.2 million from the insurance segment, $74.9 million from the mortgage segment and adverse development of $17.5 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $133.3 million , or 15.1 points, for the 2017 period consisted of $85.8 million from short-tailed lines and $47.5 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $62.7 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period, and $20.3 million from other specialty reserves, primarily from the 2016 underwriting year. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $28.0 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2013 underwriting years, and favorable development in marine reserves of $16.6 million across most underwriting years.
The insurance segment’s net favorable development of $7.2 million , or 0.5 points, for the 2017 period consisted of $9.0 million of net favorable development in short-tailed lines and $7.4 million of net favorable development in long-tailed lines, partially offset by $9.2 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2011 to 2016 accident years. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves from the 2008 to 2014 accident years and reductions in healthcare reserves across various accident years, partially offset by $17.2 million of adverse development on construction reserves across various accident years. Net adverse development in medium-tailed lines primarily resulted from an increase in programs of $39.3 million stemming in part from development on a small number of programs in the 2013 to 2015 accident years, partially offset by net favorable development of $30.1 million in other medium-tailed lines, primarily in professional liability and surety.
The mortgage segment’s net favorable development was $74.9 million , or 9.6 points, for the 2017 period. The 2017 development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business at Arch MI U.S.

ARCH CAPITAL
21
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

6 .    Investment Information


At September 30, 2018 , total investable assets of $22.32 billion included $19.59 billion held by the Company and $2.73 billion attributable to Watford Re.
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Cost or
Amortized
Cost
OTTI
Unrealized
Losses (2)
September 30, 2018
Fixed maturities (1):
Corporate bonds
$
5,639,800

$
7,363

$
(95,474
)
$
5,727,911

$
(69
)
Mortgage backed securities
468,254

1,412

(7,772
)
474,614

(6
)
Municipal bonds
1,222,440

4,236

(26,460
)
1,244,664


Commercial mortgage backed securities
682,516

578

(15,062
)
697,000


U.S. government and government agencies
3,276,243

1,499

(29,013
)
3,303,757


Non-U.S. government securities
1,722,606

13,917

(40,094
)
1,748,783


Asset backed securities
1,606,473

2,749

(13,450
)
1,617,174


Total
14,618,332

31,754

(227,325
)
14,813,903

(75
)
Equity securities (3)
Other investments





Short-term investments
961,799

195

(389
)
961,993


Total
$
15,580,131

$
31,949

$
(227,714
)
$
15,775,896

$
(75
)
December 31, 2017
Fixed maturities (1):
Corporate bonds
$
4,434,439

$
30,943

$
(32,340
)
$
4,435,836

$
(73
)
Mortgage backed securities
316,141

1,640

(2,561
)
317,062

(15
)
Municipal bonds
2,158,840

20,285

(12,308
)
2,150,863


Commercial mortgage backed securities
545,817

2,131

(4,268
)
547,954


U.S. government and government agencies
3,484,257

2,188

(28,769
)
3,510,838


Non-U.S. government securities
1,612,754

48,764

(17,321
)
1,581,311


Asset backed securities
1,780,143

5,147

(8,614
)
1,783,610


Total
14,332,391

111,098

(106,181
)
14,327,474

(88
)
Equity securities
504,333

88,739

(5,583
)
421,177


Other investments
264,989

66,946

(120
)
198,163


Short-term investments
1,469,042

650

(563
)
1,468,955


Total
$
16,570,755

$
267,433

$
(112,447
)
$
16,415,769

$
(88
)
(1)
In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
(2)
Represents the total other-than-temporary impairments (“OTTI”) recognized in accumulated other comprehensive income (“AOCI”). It does not include the change in fair value subsequent to the impairment measurement date. At September 30, 2018 , the net unrealized gain related to securities for which a non-credit OTTI was recognized in AOCI was $0.2 million , compared to a net unrealized gain of $0.3 million at December 31, 2017 .
(3)
Effective January 1, 2018, the Company adopted new accounting guidance for financial instruments (see Note 1 ). As a result, equity securities are no longer accounted for as available for sale and are excluded from this table.



ARCH CAPITAL
22
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
Less than 12 Months
12 Months or More
Total
Estimated
Fair
Value
Gross
Unrealized
Losses
Estimated
Fair
Value
Gross
Unrealized
Losses
Estimated
Fair
Value
Gross
Unrealized
Losses
September 30, 2018
Fixed maturities (1):
Corporate bonds
$
4,517,581

$
(75,830
)
$
483,379

$
(19,644
)
$
5,000,960

$
(95,474
)
Mortgage backed securities
402,443

(6,721
)
26,414

(1,051
)
428,857

(7,772
)
Municipal bonds
744,018

(16,808
)
198,243

(9,652
)
942,261

(26,460
)
Commercial mortgage backed securities
499,307

(8,745
)
103,813

(6,317
)
603,120

(15,062
)
U.S. government and government agencies
2,818,235

(22,512
)
214,570

(6,501
)
3,032,805

(29,013
)
Non-U.S. government securities
1,289,557

(29,224
)
299,654

(10,870
)
1,589,211

(40,094
)
Asset backed securities
1,176,057

(11,096
)
139,349

(2,354
)
1,315,406

(13,450
)
Total
11,447,198

(170,936
)
1,465,422

(56,389
)
12,912,620

(227,325
)
Equity securities (2)
Other investments






Short-term investments
189,378

(389
)


189,378

(389
)
Total
$
11,636,576

$
(171,325
)
$
1,465,422

$
(56,389
)
$
13,101,998

$
(227,714
)
December 31, 2017
Fixed maturities (1):
Corporate bonds
$
2,320,716

$
(25,411
)
$
279,082

$
(6,929
)
$
2,599,798

$
(32,340
)
Mortgage backed securities
221,113

(1,715
)
28,380

(846
)
249,493

(2,561
)
Municipal bonds
1,030,389

(8,438
)
132,469

(3,870
)
1,162,858

(12,308
)
Commercial mortgage backed securities
225,164

(1,899
)
57,291

(2,369
)
282,455

(4,268
)
U.S. government and government agencies
2,646,415

(26,501
)
111,879

(2,268
)
2,758,294

(28,769
)
Non-U.S. government securities
1,218,514

(15,546
)
93,530

(1,775
)
1,312,044

(17,321
)
Asset backed securities
1,111,246

(5,915
)
209,207

(2,699
)
1,320,453

(8,614
)
Total
8,773,557

(85,425
)
911,838

(20,756
)
9,685,395

(106,181
)
Equity securities
166,562

(5,583
)


166,562

(5,583
)
Other investments
15,025

(120
)


15,025

(120
)
Short-term investments
109,528

(563
)


109,528

(563
)
Total
$
9,064,672

$
(91,691
)
$
911,838

$
(20,756
)
$
9,976,510

$
(112,447
)
(1)
In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
(2)
Effective January 1, 2018, the Company adopted new accounting guidance for financial instruments (see Note 1 ). As a result, equity securities are no longer accounted for as available for sale and are excluded from this table.

At September 30, 2018 , on a lot level basis, approximately 5,610 security lots out of a total of approximately 7,690 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $2.4 million . At December 31, 2017 , on a lot level basis, approximately 3,830 security lots out of a total of approximately 7,450 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $1.3 million .

ARCH CAPITAL
23
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The contractual maturities of the Company’s fixed maturities are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
September 30, 2018
December 31, 2017
Maturity
Estimated
Fair
Value
Amortized
Cost
Estimated
Fair
Value
Amortized
Cost
Due in one year or less
$
330,506

$
331,010

$
550,711

$
548,771

Due after one year through five years
8,334,661

8,431,730

7,436,153

7,434,801

Due after five years through 10 years
2,910,493

2,972,893

3,369,635

3,369,750

Due after 10 years
285,429

289,482

333,791

325,526

11,861,089

12,025,115

11,690,290

11,678,848

Mortgage backed securities
468,254

474,614

316,141

317,062

Commercial mortgage backed securities
682,516

697,000

545,817

547,954

Asset backed securities
1,606,473

1,617,174

1,780,143

1,783,610

Total (1)
$
14,618,332

$
14,813,903

$
14,332,391

$
14,327,474

(1)
In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
Securities Lending Agreements
The Company enters into securities lending agreements with financial institutions to enhance investment income whereby it loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. The Company maintains legal control over the securities it lends, retains the earnings and cash flows associated with the loaned securities and receives a fee from the borrower for the temporary use of the securities. An indemnification agreement with the lending agent protects the Company in the event a borrower becomes insolvent or fails to return any of the securities on loan from the Company.
The Company receives collateral in the form of cash or securities. Cash collateral primarily consists of short term investments. At September 30, 2018 , the fair value of the cash collateral received on securities lending was $62.8 million and the fair value of security collateral received was $244.1 million . At December 31, 2017 , the fair value of the cash collateral received on securities lending was $199.9 million , and the fair value of security collateral received was $276.7 million .
The Company’s securities lending transactions were accounted for as secured borrowings with significant investment categories as follows:
Remaining Contractual Maturity of the Agreements
Overnight and Continuous
Less than 30 Days
30-90 Days
90 Days or More
Total
September 30, 2018
U.S. government and government agencies
$
116,389

$

$
155,273

$

$
271,662

Corporate bonds
22,267




22,267

Equity securities
12,957




12,957

Total
$
151,613

$

$
155,273

$

$
306,886

Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 8
$

Amounts related to securities lending not included in offsetting disclosure in Note 8
$
306,886

December 31, 2017
U.S. government and government agencies
$
343,425

$
20,309

$
76,086

$

$
439,820

Corporate bonds
28,003




28,003

Equity securities
8,782




8,782

Total
$
380,210

$
20,309

$
76,086

$

$
476,605

Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 8
$

Amounts related to securities lending not included in offsetting disclosure in Note 8
$
476,605


ARCH CAPITAL
24
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Equity Securities, at Fair Value
At September 30, 2018 , the Company held $444.1 million of equity securities, at fair value, compared to $495.8 million at December 31, 2017 . Such holdings include publicly traded common stocks in the natural resources, energy, consumer staples and other sectors. Pursuant to new accounting guidance (see Note 1 ), changes in fair value on equity securities are recorded through net income effective January 1, 2018.
Other Investments
The following table summarizes the Company’s other investments, including available for sale and fair value option components:
September 30,
2018
December 31,
2017
Available for sale securities:
Asian and emerging markets
$

$
135,140

Investment grade fixed income

53,878

Credit related funds

18,365

Other

57,606

Total available for sale (1)

264,989

Fair value option:
Term loan investments (par value: $1,376,013 and $1,223,453)
$
1,351,098

$
1,200,882

Mezzanine debt funds
241,968

252,160

Credit related funds
200,226

175,422

Investment grade fixed income
97,347

102,347

Asian and emerging markets
330,999

258,541

Other (2)
120,038

147,029

Total fair value option
2,341,676

2,136,381

Total
$
2,341,676

$
2,401,370

(1)
The Company reviewed the accounting treatment for three limited partnership investments which were accounted for as available for sale at December 31, 2017 during the 2018 first quarter and determined, based on reconsideration during the period of the Company’s percentage ownership, that the equity method of accounting was appropriate for such investments.
(2)
Includes fund investments with strategies in mortgage servicing rights, transportation, infrastructure assets and other.

Certain of the Company’s other investments are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund’s net assets which may otherwise hinder the general
partner or investment manager’s ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.
Fair Value Option
The following table summarizes the Company’s assets and liabilities which are accounted for using the fair value option:
September 30,
2018
December 31,
2017
Fixed maturities
$
1,374,453

$
1,642,855

Other investments
2,341,676

2,136,381

Short-term investments
248,834

297,426

Equity securities
132,772

139,575

Investments accounted for using the fair value option
$
4,097,735

$
4,216,237

Limited Partnership Interests
In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ The Company has determined that it is not required to consolidate these investments because it is not the primary beneficiary of the funds. The Company’s maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet line item:
September 30,
2018
December 31,
2017
Investments accounted for using the equity method (1)
1,524,242

1,041,322

Investments accounted for using the fair value option (2)
167,860

130,471

Total
$
1,692,102

$
1,171,793

(1)
Aggregate unfunded commitments were $1.04 billion at September 30, 2018 , compared to $1.02 billion at December 31, 2017 .
(2)
Aggregate unfunded commitments were $111.1 million at September 30, 2018 , compared to $100.4 million at December 31, 2017 .

ARCH CAPITAL
25
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Net Investment Income
The components of net investment income were derived from the following sources:
September 30,
2018
2017
Three Months Ended
Fixed maturities
$
120,516

$
96,144

Equity securities
3,165

2,887

Short-term investments
4,547

2,957

Other (1)
39,098

37,957

Gross investment income
167,326

139,945

Investment expenses
(23,302
)
(23,486
)
Net investment income
$
144,024

$
116,459

Nine Months Ended
Fixed maturities
$
343,513

$
284,807

Equity securities
10,510

9,184

Short-term investments
13,799

6,732

Other (1)
114,640

111,613

Gross investment income
482,462

412,336

Investment expenses
(76,046
)
(66,879
)
Net investment income
$
406,416

$
345,457

(1)
Includes income distributions from investment funds, term loan investments and other items.
Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method
The Company recorded $16.0 million of equity in net income related to investment funds accounted for using the equity method in the 2018 third quarter , compared to $31.1 million for the 2017 third quarter , and $52.5 million for the nine months ended September 30, 2018 , compared to $111.9 million for the 2017 period. In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.

Net Realized Gains (Losses)
Net realized gains (losses) were as follows, excluding net impairment losses recognized in earnings:
September 30,
2018
2017
Three Months Ended
Available for sale securities:


Gross gains on investment sales
$
10,990

$
66,565

Gross losses on investment sales
(34,879
)
(39,015
)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities
(6,604
)
4,035

Other investments
(7,950
)
24,264

Equity securities
2,752

10,230

Short-term investments
(471
)
(3,320
)
Equity securities, at fair value (1):
Net realized gains (losses) on sales during the period
(2,012
)

Net unrealized gains (losses) on equity securities still held at reporting date
10,798


Derivative instruments (2)
(17,556
)
4,298

Other (3)
(6,773
)
(782
)
Net realized gains (losses)
$
(51,705
)
$
66,275

Nine Months Ended
Available for sale securities:
Gross gains on investment sales
$
44,732

$
212,470

Gross losses on investment sales
(175,141
)
(152,996
)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities
(47,082
)
34,232

Other investments
(14,578
)
42,149

Equity securities
10,650

16,604

Short-term investments
(758
)
12

Equity securities, at fair value (1):
Net realized gains (losses) on sales during the period
(13,298
)

Net unrealized gains (losses) on equity securities still held at reporting date
(4,063
)

Derivative instruments (2)
(23,665
)
(9,653
)
Other (3)
(16,111
)
(20,655
)
Net realized gains (losses)
$
(239,314
)
$
122,163

(1)
Pursuant to new accounting guidance (see Note 1 ), changes in fair value on equity securities are recorded through net income effective January 1, 2018.
(2)
See Note 8 for information on the Company’s derivative instruments.
(3)
Includes the re-measurement of contingent consideration liability amounts.



ARCH CAPITAL
26
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Net Impairment Losses Recognized in Earnings
The Company performs quarterly reviews of its available for sale investments in order to determine whether declines in fair value below the amortized cost basis were considered other-than-temporary in accordance with applicable guidance.
The following table details the net impairment losses recognized in earnings by asset class:
September 30,
2018
2017
Three Months Ended
Fixed maturities:


Mortgage backed securities
$
(73
)
$
(50
)
Corporate bonds
(270
)
(82
)
Non-U.S. government securities
(149
)
(178
)
U.S. government and government agencies

(426
)
Municipal bonds

(202
)
Total
(492
)
(938
)
Equity securities

(940
)
Net impairment losses recognized in earnings
$
(492
)
$
(1,878
)
Nine Months Ended
Fixed maturities:
Mortgage backed securities
$
(196
)
$
(1,461
)
Corporate bonds
(631
)
(1,484
)
Non-U.S. government securities
(149
)
(376
)
Asset backed securities
(148
)

U.S. government and government agencies

(426
)
Municipal bonds

(375
)
Total
(1,124
)
(4,122
)
Equity securities

(1,126
)
Other investments

(167
)
Net impairment losses recognized in earnings
$
(1,124
)
$
(5,415
)
Net impairment losses recognized in earnings in the 2018 periods reflected foreign currency impacts and other reductions on corporate bonds and other securities. The Company believes that the $0.1 million of OTTI included in accumulated other comprehensive income at September 30, 2018 on the securities which were considered by the Company to be impaired was due to market and sector-related factors ( i.e. , not credit losses). At September 30, 2018 , the Company did not intend to sell these securities, or any other securities which were in an unrealized loss position, and determined that it is more likely than not that the Company will not be required to sell such securities before recovery of their cost basis.
The following table provides a roll forward of the amount related to credit losses recognized in earnings for which a portion of an OTTI was recognized in accumulated other comprehensive income:
September 30,
2018
2017
Three Months Ended
Balance at start of period
$
698

$
4,437

Credit loss impairments recognized on securities not previously impaired


Credit loss impairments recognized on securities previously impaired

15

Reductions for increases in cash flows expected to be collected that are recognized over the remaining life of the security


Reductions for securities sold during the period
(47
)
(689
)
Balance at end of period
$
651

$
3,763

Nine Months Ended
Balance at start of year
$
767

$
13,138

Credit loss impairments recognized on securities not previously impaired

31

Credit loss impairments recognized on securities previously impaired

210

Reductions for increases in cash flows expected to be collected that are recognized over the remaining life of the security


Reductions for securities sold during the period
(116
)
(9,616
)
Balance at end of period
$
651

$
3,763

Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. See note 16, “Commitments and Contingencies,” of the notes to consolidated financial statements in the Company’s 2017 Form 10-K. The following table details the value of the Company’s restricted assets:
September 30,
2018
December 31,
2017
Assets used for collateral or guarantees:


Affiliated transactions
$
4,235,515

$
4,323,726

Third party agreements
2,094,952

1,674,304

Deposits with U.S. regulatory authorities
688,574

616,987

Deposits with non-U.S. regulatory authorities
61,210

55,895

Total restricted assets
$
7,080,251

$
6,670,912



ARCH CAPITAL
27
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
September 30,
2018
December 31,
2017
Cash
$
651,037

$
606,199

Restricted cash (included in ‘other assets’)
$
58,782

$
121,085

Cash and restricted cash
$
709,819

$
727,284


7 .    Fair Value

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
The levels in the hierarchy are defined as follows:
Level 1:
Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:
Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:
Inputs to the valuation methodology are unobservable and significant to the fair value measurement
Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.
The Company determines the existence of an active market based on its judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but is not limited to: (i) quantitative analysis (e.g., comparing the quarterly return for each managed portfolio to its target benchmark, with significant differences identified and investigated); (ii) a review of the average number of prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e. , a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value. The Company did not adjust any of the prices obtained from the independent pricing sources at September 30, 2018 .
In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Of the $20.30 billion of financial assets and liabilities measured at fair value at September 30, 2018 , approximately $212.2 million , or 1.1% , were priced using non-binding broker-dealer quotes. Of the $20.92 billion of financial assets and liabilities measured at fair value at December 31, 2017 , approximately $181.5 million , or 0.9% , were priced using non-binding broker-dealer quotes.
Fixed maturities
The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market

ARCH CAPITAL
28
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value.
The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:
U.S. government and government agencies — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.
Corporate bonds — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Mortgage-backed securities — valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Municipal bonds — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market inputs, the fair value of these securities are classified within Level 2.
Commercial mortgage-backed securities — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Non-U.S. government securities — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are

ARCH CAPITAL
29
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy.
Other investments
The Company determined that exchange-traded investments in mutual funds would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other investments also include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. The fair values for certain of the Company’s other investments are determined using net asset values as advised by external fund managers. The net asset value is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities.
Derivative instruments
The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market
inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.
Short-term investments
The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of other short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2.
Contingent consideration liabilities
Contingent consideration liabilities (included in ‘other liabilities’ in the consolidated balance sheets) include amounts related to the acquisition of CMG Mortgage Insurance Company and its affiliated mortgage insurance companies and other acquisitions. Such amounts are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains (losses).’ To determine the fair value of contingent consideration liabilities, the Company estimates future payments using an income approach based on modeled inputs which include a weighted average cost of capital. The Company determined that contingent consideration liabilities would be included within Level 3.

ARCH CAPITAL
30
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at September 30, 2018 :
Estimated Fair Value Measurements Using:
Estimated
Fair
Value
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Assets measured at fair value (1):




Available for sale securities:




Fixed maturities:




Corporate bonds
$
5,639,800

$

$
5,631,516

$
8,284

Mortgage backed securities
468,254


467,923

331

Municipal bonds
1,222,440


1,222,440


Commercial mortgage backed securities
682,516


682,502

14

U.S. government and government agencies
3,276,243

3,125,520

150,723


Non-U.S. government securities
1,722,606


1,722,606


Asset backed securities
1,606,473


1,606,473


Total
14,618,332

3,125,520

11,484,183

8,629

Short-term investments
961,799

819,294

142,505


Equity securities, at fair value
456,836

408,436

48,400


Derivative instruments (4)
37,341


37,341


Fair value option:
Corporate bonds
912,927


903,321

9,606

Non-U.S. government bonds
105,019


105,019


Mortgage backed securities
15,845


15,845


Municipal bonds
7,037


7,037


Commercial mortgage backed securities




Asset backed securities
213,971


213,971


U.S. government and government agencies
119,654

119,547

107


Short-term investments
248,834

230,836

17,998


Equity securities
132,772

67,441

65,331


Other investments
1,303,349

49,579

1,190,839

62,931

Other investments measured at net asset value (2)
1,038,327

Total
4,097,735

467,403

2,519,468

72,537

Total assets measured at fair value
$
20,172,043

$
4,820,653

$
14,231,897

$
81,166

Liabilities measured at fair value:




Contingent consideration liabilities
$
(65,641
)
$

$

$
(65,641
)
Securities sold but not yet purchased (3)
(9,065
)

(9,065
)

Derivative instruments (4)
(49,189
)

(49,189
)

Total liabilities measured at fair value
$
(123,895
)
$

$
(58,254
)
$
(65,641
)

(1)
In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 6 , “Investment Information—Securities Lending Agreements.”
(2)
In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)
Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)
See Note 8 , “Derivative Instruments.”

ARCH CAPITAL
31
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2017 :
Estimated Fair Value Measurements Using:
Estimated
Fair
Value
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Assets measured at fair value (1):




Available for sale securities:




Fixed maturities:




Corporate bonds
$
4,434,439

$

$
4,424,979

$
9,460

Mortgage backed securities
316,141


315,754

387

Municipal bonds
2,158,840


2,158,840


Commercial mortgage backed securities
545,817


545,277

540

U.S. government and government agencies
3,484,257

3,408,902

75,355


Non-U.S. government securities
1,612,754


1,612,754


Asset backed securities
1,780,143


1,775,143

5,000

Total
14,332,391

3,408,902

10,908,102

15,387

Equity securities
504,333

498,182

6,151


Short-term investments
1,469,042

1,420,732

48,310


Other investments
76,427

74,611

1,816


Other investments measured at net asset value (2)
188,562

Total other investments
264,989

74,611

1,816


Derivative instruments (4)
15,747


15,747


Fair value option:
Corporate bonds
1,068,725


1,056,508

12,217

Non-U.S. government bonds
195,788


195,788


Mortgage backed securities
20,491


20,491


Municipal bonds
15,210


15,210


Commercial mortgage backed securities
11,997


11,997


Asset backed securities
99,354


99,354


U.S. government and government agencies
231,290

231,019

271


Short-term investments
297,426

40,166

257,260


Equity securities
139,575

67,440

72,135


Other investments
1,128,094

82,291

986,636

59,167

Other investments measured at net asset value (2)
1,008,287

Total
4,216,237

420,916

2,715,650

71,384

Total assets measured at fair value
$
20,802,739

$
5,823,343

$
13,695,776

$
86,771

Liabilities measured at fair value:




Contingent consideration liabilities
$
(60,996
)
$

$

$
(60,996
)
Securities sold but not yet purchased (3)
(34,375
)

(34,375
)

Derivative instruments (4)
(20,464
)

(20,464
)

Total liabilities measured at fair value
$
(115,835
)
$

$
(54,839
)
$
(60,996
)

(1)
In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 6 , “Investment Information—Securities Lending Agreements.”
(2)
In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)
Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)
See Note 8 , “Derivative Instruments.”


ARCH CAPITAL
32
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs:
Assets
Liabilities
s
Available For Sale
Fair Value Option
Structured Securities (1)
Corporate
Bonds
Corporate
Bonds
Other
Investments
Total
Contingent Consideration Liabilities
Three Months Ended September 30, 2018


Balance at beginning of period
$
376

$
8,773

$
11,335

$
58,214

$
78,698

$
(63,930
)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)

(1
)
(503
)
(1,459
)
(1,963
)
(1,711
)
Included in other comprehensive income
2

(32
)


(30
)

Purchases, issuances, sales and settlements
Purchases



6,250

6,250


Issuances






Sales



(74
)
(74
)

Settlements
(33
)
(456
)
(1,226
)

(1,715
)

Transfers in and/or out of Level 3






Balance at end of period
$
345

$
8,284

$
9,606

$
62,931

$
81,166

$
(65,641
)
Three Months Ended September 30, 2017



Balance at beginning of period
$

$
11,570

$

$
25,000

$
36,570

$
(57,246
)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)





(2,002
)
Included in other comprehensive income

289



289


Purchases, issuances, sales and settlements
Purchases



1,348

1,348


Issuances






Sales






Settlements






Transfers in and/or out of Level 3
5,949

132

11,471

4,798

22,350


Balance at end of period
$
5,949

$
11,991

$
11,471

$
31,146

$
60,557

$
(59,248
)
Nine Months Ended September 30, 2018


Balance at beginning of year
$
5,927

$
9,460

$
12,217

$
59,167

$
86,771

$
(60,996
)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
4

(1
)
(1,115
)
(1,838
)
(2,950
)
(4,645
)
Included in other comprehensive income
(6
)
(200
)


(206
)

Purchases, issuances, sales and settlements
Purchases

393


6,250

6,643


Issuances






Sales
(5,003
)


(148
)
(5,151
)

Settlements
(577
)
(1,368
)
(1,496
)
(500
)
(3,941
)

Transfers in and/or out of Level 3






Balance at end of period
$
345

$
8,284

$
9,606

$
62,931

$
81,166

$
(65,641
)
Nine Months Ended September 30, 2017



Balance at beginning of year
$
11,289

$
18,344

$

$
25,000

$
54,633

$
(122,350
)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
3,779

893



4,672

(9,089
)
Included in other comprehensive income

289



289


Purchases, issuances, sales and settlements
Purchases

4,935


1,348

6,283


Issuances






Sales
(13,640
)
(12,602
)


(26,242
)

Settlements
(1,428
)



(1,428
)
72,191

Transfers in and/or out of Level 3
5,949

132

11,471

4,798

22,350


Balance at end of period
$
5,949

$
11,991

$
11,471

$
31,146

$
60,557

$
(59,248
)

(1)
Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)
Gains or losses were included in net realized gains (losses).

ARCH CAPITAL
33
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Financial Instruments Disclosed, But Not Carried, At Fair Value
The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at September 30, 2018 , due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At September 30, 2018 , the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73 billion and had a fair value of $1.88 billion . At December 31, 2017 , Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73 billion and had a fair value of $2.04 billion . The fair values of the senior notes were obtained from a third party pricing service and are based on observable market inputs. As such, the fair values of the senior notes are classified within Level 2.
8 .    Derivative Instruments

The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements.
In addition, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
Asset Derivatives
Liability Derivatives
Notional
Value (1)
September 30, 2018
Futures contracts (2)
$
2,794

$
(14,085
)
$
1,547,523

Foreign currency forward contracts (2)
8,203

(7,490
)
1,315,080

TBAs (3)
25,207


24,964

Other (2)
26,344

(27,614
)
2,220,054

Total
$
62,548

$
(49,189
)
December 31, 2017
Futures contracts (2)
$
3,371

$
(1,542
)
$
1,452,497

Foreign currency forward contracts (2)
4,478

(4,381
)
686,941

TBAs (3)
27,184


27,066

Other (2)
7,898

(14,541
)
1,457,345

Total
$
42,931

$
(20,464
)
(1)
Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(2)
The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(3)
The fair value of TBAs are included in ‘fixed maturities available for sale, at fair value.’
The Company did not hold any derivatives which were designated as hedging instruments at September 30, 2018 or December 31, 2017 .
The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party, unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor. Contractual close-out netting reduces derivatives credit exposure from gross to net exposure. The remaining derivatives included in the table above were not subject to a master netting agreement.
At September 30, 2018 , asset derivatives and liability derivatives of $60.4 million and $31.9 million , respectively, were subject to a master netting agreement, compared to $40.6 million and $19.6 million , respectively, at December 31, 2017 .

ARCH CAPITAL
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2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The remaining derivatives included in the preceding table were not subject to a master netting agreement.
Realized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in ‘net realized gains (losses)’ in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as
September 30,
hedging instruments:
2018
2017
Three Months Ended
Net realized gains (losses):
Futures contracts
$
(15,399
)
$
4,899

Foreign currency forward contracts
(5,458
)
(228
)
TBAs
(3
)
122

Other
3,304

(495
)
Total
$
(17,556
)
$
4,298

Nine Months Ended
Net realized gains (losses):
Futures contracts
$
(10,609
)
$
7,309

Foreign currency forward contracts
(13,074
)
(12,266
)
TBAs
(100
)
143

Other
118

(4,839
)
Total
$
(23,665
)
$
(9,653
)

9 .    Commitments and Contingencies

Investment Commitments
The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $1.57 billion at September 30, 2018 , compared to $1.70 billion at December 31, 2017 .
Interest Paid
Interest paid on the Company’s senior notes and other borrowings were $67.6 million for the nine months ended September 30, 2018 , compared to $64.6 million for the 2017 period.
10 .
Variable Interest Entities and Noncontrolling Interests

A variable interest entity (“VIE”) refers to an entity that has characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have characteristics of a controlling financial interest. The primary beneficiary of a VIE is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. If a company is determined to be the primary beneficiary, it is required to consolidate the VIE in its financial statements.
Watford Holdings Ltd.
In March 2014, the Company invested $100.0 million and acquired approximately 11% of Watford Holdings Ltd.’s common equity and a warrant to purchase additional common equity. Watford Holdings Ltd. is the parent of Watford Re Ltd., a multi-line Bermuda reinsurance company (together with Watford Holdings Ltd., “Watford Re”). Watford Re is considered a VIE and the Company concluded that it is the primary beneficiary of Watford Re. As such, the results of Watford Re are included in the Company’s consolidated financial statements.
The Company does not guarantee or provide credit support for Watford Re, and the Company’s financial exposure to Watford Re is limited to its investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.

ARCH CAPITAL
35
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford Re are reported:
September 30,
December 31,

2018
2017
Assets
Investments accounted for using the fair value option
$
2,424,009

$
2,426,066

Fixed maturities available for sale, at fair value
305,388


Equity securities, at fair value
46,581


Cash
64,684

54,503

Accrued investment income
17,650

18,261

Premiums receivable
217,582

177,492

Reinsurance recoverable on unpaid and paid losses and LAE
69,849

42,777

Ceded unearned premiums
63,772

24,762

Deferred acquisition costs
84,980

85,961

Receivable for securities sold
36,153

36,374

Goodwill and intangible assets
7,650

7,650

Other assets
81,152

140,808

Total assets of consolidated VIE
$
3,419,450

$
3,014,654

Liabilities
Reserves for losses and loss adjustment expenses
$
962,927

$
798,262

Unearned premiums
407,957

330,644

Reinsurance balances payable
24,696

18,424

Revolving credit agreement borrowings
429,756

441,132

Payable for securities purchased
135,690

42,501

Other liabilities
252,171

215,186

Total liabilities of consolidated VIE
$
2,213,197

$
1,846,149

Redeemable noncontrolling interests
$
220,899

$
220,622

For the nine months ended September 30, 2018 , Watford Re generated $174.3 million of cash provided by operating activities, $208.3 million of cash used for investing activities and $24.2 million of cash used for financing activities, compared to $221.9 million of cash provided by operating activities, $386.8 million of cash used for investing activities and $152.5 million of cash provided by financing activities for the nine months ended September 30, 2017 .
Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford Re’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford Re’s common shares was approximately 89% at September 30, 2018 . The portion of Watford Re’s income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests.’
The following table sets forth activity in the non-redeemable noncontrolling interests:
September 30,
2018
2017
Three Months Ended
Balance, beginning of period
$
861,153

$
877,456

Amounts attributable to noncontrolling interests
16,759

(16,147
)
Other comprehensive income attributable to noncontrolling interests
(1,158
)
(411
)
Balance, end of period
$
876,754

$
860,898

Nine Months Ended
Balance, beginning of year
$
843,411

$
851,854

Amounts attributable to noncontrolling interests
36,251

9,523

Other comprehensive income attributable to noncontrolling interests
(2,908
)
(479
)
Balance, end of period
$
876,754

$
860,898

Redeemable noncontrolling interests
The Company accounts for redeemable noncontrolling interests in the mezzanine section of its consolidated balance sheets in accordance with applicable accounting guidance. Such redeemable noncontrolling interests relate to the 9,065,200 cumulative redeemable preference shares (“Watford Preference Shares”) issued in March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. Preferred dividends, including the accretion of the discount and issuance costs, are included in ‘net (income) loss attributable to noncontrolling interests’ in the Company’s consolidated statements of income.
The following table sets forth activity in the redeemable non-controlling interests:
September 30,
2018
2017
Three Months Ended
Balance, beginning of period
$
206,105

$
205,736

Accretion of preference share issuance costs
94

93

Balance, end of period
$
206,199

$
205,829

Nine Months Ended
Balance, beginning of year
$
205,922

$
205,553

Accretion of preference share issuance costs
277

276

Balance, end of period
$
206,199

$
205,829


ARCH CAPITAL
36
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The portion of Watford Re’s income or loss attributable to third party investors, recorded in the Company’s consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests,’ are summarized in the table below:
September 30,
2018
2017
Three Months Ended
Amounts attributable to non-redeemable noncontrolling interests
$
(16,759
)
$
16,147

Dividends attributable to redeemable noncontrolling interests
(4,599
)
(4,586
)
Net (income) loss attributable to noncontrolling interests
$
(21,358
)
$
11,561

Nine Months Ended
Amounts attributable to non-redeemable noncontrolling interests
$
(36,251
)
$
(9,523
)
Dividends attributable to redeemable noncontrolling interests
(13,769
)
(13,756
)
Net (income) loss attributable to noncontrolling interests
$
(50,020
)
$
(23,279
)
Bellemeade Re
The Company has entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements.
The following table presents total assets of the Bellemeade entities, as well as the Company’s maximum exposure to loss associated with these VIEs as of September 30, 2018 and December 31, 2017:
Maximum Exposure to Loss
Bellemeade Entities (Issue Date)
Total VIE Assets
On-Balance Sheet
Off-Balance Sheet
Total
Sep 30, 2018
Bellemeade 2015-1 Ltd. (Jul-15)
$
59,729

$
166

$
314

$
480

Bellemeade 2016-1 Ltd. (May-16)
31,765

4

28

32

Bellemeade 2017-1 Ltd. (Oct-17)
319,635

198

1,104

1,302

Bellemeade 2018-1 Ltd. (Apr-18)
374,460

32

1,194

1,226

Bellemeade 2018-2 Ltd. (Aug-18)
653,278

388

2,395

2,783

Total
$
1,438,867

$
788

$
5,035

$
5,823

Dec 31, 2017
Bellemeade 2015-1 Ltd. (Jul-15)
$
92,390

$
471

$
832

$
1,303

Bellemeade 2016-1 Ltd. (May-16)
135,201

20

527

547

Bellemeade 2017-1 Ltd. (Oct-17)
347,139

391

1,867

2,258

Total
$
574,730

$
882

$
3,226

$
4,108

See Note 15 , “Subsequent Events.”

ARCH CAPITAL
37
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

11 .    Other Comprehensive Income (Loss)

The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Amounts Reclassified from AOCI
Consolidated Statement of Income
Three Months Ended
Nine Months Ended
Details About
Line Item That Includes
September 30,
September 30,
AOCI Components
Reclassification
2018
2017
2018
2017
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)
$
(23,888
)
$
27,550

$
(130,409
)
$
59,474

Other-than-temporary impairment losses
(492
)
(1,878
)
(1,124
)
(5,415
)
Total before tax
(24,380
)
25,672

(131,533
)
54,059

Income tax (expense) benefit
1,177

(1,760
)
9,226

(7,879
)
Net of tax
$
(23,203
)
$
23,912

$
(122,307
)
$
46,180

Before Tax Amount
Tax Expense (Benefit)
Net of Tax Amount
Three Months Ended September 30, 2018
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period
$
(57,812
)
$
(4,504
)
$
(53,308
)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)



Less reclassification of net realized gains (losses) included in net income
(24,380
)
(1,177
)
(23,203
)
Foreign currency translation adjustments
2,167

104

2,063

Other comprehensive income (loss)
$
(31,265
)
$
(3,223
)
$
(28,042
)
Three Months Ended September 30, 2017
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period
$
69,330

$
2,868

$
66,462

Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)



Less reclassification of net realized gains (losses) included in net income
25,672

1,760

23,912

Foreign currency translation adjustments
8,590

310

8,280

Other comprehensive income (loss)
$
52,248

$
1,418

$
50,830

Nine Months Ended September 30, 2018
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period
$
(335,789
)
$
(30,533
)
$
(305,256
)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)



Less reclassification of net realized gains (losses) included in net income
(131,533
)
(9,226
)
(122,307
)
Foreign currency translation adjustments
(9,102
)
148

(9,250
)
Other comprehensive income (loss)
$
(213,358
)
$
(21,159
)
$
(192,199
)
Nine Months Ended September 30, 2017
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period
$
288,813

$
28,590

$
260,223

Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)



Less reclassification of net realized gains (losses) included in net income
54,059

7,879

46,180

Foreign currency translation adjustments
30,264

563

29,701

Other comprehensive income (loss)
$
265,018

$
21,274

$
243,744



ARCH CAPITAL
38
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

12 .     Guarantor Financial Information

The following tables present condensed financial information for Arch Capital, Arch-U.S., a 100% owned subsidiary of Arch Capital, and Arch Capital’s other subsidiaries.

September 30, 2018
Condensed Consolidating Balance Sheet
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Assets
Total investments
$
183

$
198,843

$
21,482,102

$
(14,700
)
$
21,666,428

Cash
8,058

52,784

590,195


651,037

Investments in subsidiaries
9,655,977

4,126,722


(13,782,699
)

Due from subsidiaries and affiliates
16

2

1,870,606

(1,870,624
)

Premiums receivable


1,852,571

(545,105
)
1,307,466

Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses


8,264,202

(5,514,417
)
2,749,785

Contractholder receivables


2,067,268


2,067,268

Ceded unearned premiums


1,809,979

(798,129
)
1,011,850

Deferred acquisition costs


632,637

(59,650
)
572,987

Goodwill and intangible assets


566,662


566,662

Other assets
11,966

30,477

1,759,537

(142,929
)
1,659,051

Total assets
$
9,676,200

$
4,408,828

$
40,895,759

$
(22,728,253
)
$
32,252,534

Liabilities
Reserve for losses and loss adjustment expenses
$

$

$
16,847,736

$
(5,293,415
)
$
11,554,321

Unearned premiums


4,666,508

(798,129
)
3,868,379

Reinsurance balances payable


950,041

(545,105
)
404,936

Contractholder payables


2,067,268


2,067,268

Collateral held for insured obligations


249,723


249,723

Senior notes
297,125

494,697

941,542


1,733,364

Revolving credit agreement borrowings


554,756


554,756

Due to subsidiaries and affiliates
3,386

542,365

1,324,873

(1,870,624
)

Other liabilities
20,541

34,661

1,750,063

(423,579
)
1,381,686

Total liabilities
321,052

1,071,723

29,352,510

(8,930,852
)
21,814,433

Redeemable noncontrolling interests


220,899

(14,700
)
206,199

Shareholders’ Equity
Total shareholders’ equity available to Arch
9,355,148

3,337,105

10,445,596

(13,782,701
)
9,355,148

Non-redeemable noncontrolling interests


876,754


876,754

Total shareholders’ equity
9,355,148

3,337,105

11,322,350

(13,782,701
)
10,231,902

Total liabilities, noncontrolling interests and shareholders’ equity
$
9,676,200

$
4,408,828

$
40,895,759

$
(22,728,253
)
$
32,252,534







ARCH CAPITAL
39
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


December 31, 2017
Condensed Consolidating Balance Sheet
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Assets
Total investments
$
96,540

$
46,281

$
21,711,891

$
(14,700
)
$
21,840,012

Cash
9,997

30,380

565,822


606,199

Investments in subsidiaries
9,396,621

4,097,765


(13,494,386
)

Due from subsidiaries and affiliates
394


1,828,864

(1,829,258
)

Premiums receivable


2,967,701

(1,832,452
)
1,135,249

Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses


8,442,192

(5,902,049
)
2,540,143

Contractholder receivables


1,978,414


1,978,414

Ceded unearned premiums


2,165,789

(1,239,178
)
926,611

Deferred acquisition costs


693,053

(157,229
)
535,824

Goodwill and intangible assets


652,611


652,611

Other assets
13,176

49,585

1,860,505

(86,671
)
1,836,595

Total assets
$
9,516,728

$
4,224,011

$
42,866,842

$
(24,555,923
)
$
32,051,658

Liabilities
Reserve for losses and loss adjustment expenses
$

$

$
17,236,401

$
(5,852,609
)
$
11,383,792

Unearned premiums


4,861,491

(1,239,177
)
3,622,314

Reinsurance balances payable


2,155,947

(1,832,451
)
323,496

Contractholder payables


1,978,414


1,978,414

Collateral held for insured obligations


240,183


240,183

Senior notes
297,053

494,621

941,210


1,732,884

Revolving credit agreement borrowings


816,132


816,132

Due to subsidiaries and affiliates
235

536,919

1,292,104

(1,829,258
)

Other liabilities
22,838

29,317

1,949,696

(293,343
)
1,708,508

Total liabilities
320,126

1,060,857

31,471,578

(11,046,838
)
21,805,723

Redeemable noncontrolling interests


220,622

(14,700
)
205,922

Shareholders’ Equity
Total shareholders’ equity available to Arch
9,196,602

3,163,154

10,331,231

(13,494,385
)
9,196,602

Non-redeemable noncontrolling interests


843,411


843,411

Total shareholders’ equity
9,196,602

3,163,154

11,174,642

(13,494,385
)
10,040,013

Total liabilities, noncontrolling interests and shareholders’ equity
$
9,516,728

$
4,224,011

$
42,866,842

$
(24,555,923
)
$
32,051,658



ARCH CAPITAL
40
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Three Months Ended September 30, 2018
Condensed Consolidating Statement of Income and Comprehensive Income
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Revenues
Net premiums earned
$

$

$
1,290,878

$

$
1,290,878

Net investment income
2

1,202

165,289

(22,469
)
144,024

Net realized gains (losses)

(64
)
(51,641
)

(51,705
)
Net impairment losses recognized in earnings


(492
)

(492
)
Other underwriting income


5,823


5,823

Equity in net income (loss) of investment funds accounted for using the equity method


15,982


15,982

Other income (loss)
(195
)

(531
)

(726
)
Total revenues
(193
)
1,138

1,425,308

(22,469
)
1,403,784

Expenses
Losses and loss adjustment expenses


699,420


699,420

Acquisition expenses


201,602


201,602

Other operating expenses


161,098


161,098

Corporate expenses
15,170

446

(1,281
)

14,335

Amortization of intangible assets


26,315


26,315

Interest expense
5,536

12,075

34,276

(22,157
)
29,730

Net foreign exchange (gains) losses


(10,426
)
(412
)
(10,838
)
Total expenses
20,706

12,521

1,111,004

(22,569
)
1,121,662

Income (loss) before income taxes
(20,899
)
(11,383
)
314,304

100

282,122

Income tax (expense) benefit

2,276

(35,632
)

(33,356
)
Income (loss) before equity in net income of subsidiaries
(20,899
)
(9,107
)
278,672

100

248,766

Equity in net income of subsidiaries
248,307

92,906


(341,213
)

Net income
227,408

83,799

278,672

(341,113
)
248,766

Net (income) loss attributable to noncontrolling interests


(21,669
)
311

(21,358
)
Net income available to Arch
227,408

83,799

257,003

(340,802
)
227,408

Preferred dividends
(10,402
)



(10,402
)
Net income available to Arch common shareholders
$
217,006

$
83,799

$
257,003

$
(340,802
)
$
217,006

Comprehensive income available to Arch
$
200,524

$
77,389

$
230,565

$
(307,954
)
$
200,524



ARCH CAPITAL
41
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Three Months Ended September 30, 2017
Condensed Consolidating Statement of Income and Comprehensive Income
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Revenues
Net premiums earned
$

$

$
1,261,886

$

$
1,261,886

Net investment income
117

151

138,784

(22,593
)
116,459

Net realized gains (losses)


66,275


66,275

Net impairment losses recognized in earnings


(1,878
)

(1,878
)
Other underwriting income


6,064


6,064

Equity in net income (loss) of investment funds accounted for using the equity method


31,090


31,090

Other income (loss)
(102
)

(240
)

(342
)
Total revenues
15

151

1,501,981

(22,593
)
1,479,554

Expenses
Losses and loss adjustment expenses


1,046,141


1,046,141

Acquisition expenses


193,854


193,854

Other operating expenses


170,127


170,127

Corporate expenses
14,576

410

2,112


17,098

Amortization of intangible assets


31,824


31,824

Interest expense
5,934

12,037

33,811

(22,272
)
29,510

Net foreign exchange (gains) losses


20,510

7,518

28,028

Total expenses
20,510

12,447

1,498,379

(14,754
)
1,516,582

Income (loss) before income taxes
(20,495
)
(12,296
)
3,602

(7,839
)
(37,028
)
Income tax (expense) benefit

4,432

(12,621
)

(8,189
)
Income (loss) before equity in net income of subsidiaries
(20,495
)
(7,864
)
(9,019
)
(7,839
)
(45,217
)
Equity in net income of subsidiaries
(13,161
)
50,057


(36,896
)

Net income (loss)
(33,656
)
42,193

(9,019
)
(44,735
)
(45,217
)
Net (income) loss attributable to noncontrolling interests


11,238

323

11,561

Net income (loss) available to Arch
(33,656
)
42,193

2,219

(44,412
)
(33,656
)
Preferred dividends
(12,369
)



(12,369
)
Loss on redemption of preferred shares
(6,735
)



(6,735
)
Net income (loss) available to Arch common shareholders
$
(52,760
)
$
42,193

$
2,219

$
(44,412
)
$
(52,760
)
Comprehensive income available to Arch
$
17,585

$
47,676

$
45,936

$
(93,612
)
$
17,585


ARCH CAPITAL
42
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Nine Months Ended September 30, 2018
Condensed Consolidating Statement of Income and Comprehensive Income
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Revenues
Net premiums earned
$

$

$
3,862,540

$

$
3,862,540

Net investment income
37

2,020

471,588

(67,229
)
406,416

Net realized gains (losses)
29

(71
)
(239,272
)

(239,314
)
Net impairment losses recognized in earnings


(1,124
)

(1,124
)
Other underwriting income


15,046


15,046

Equity in net income (loss) of investment funds accounted for using the equity method


52,523


52,523

Other income (loss)
2,066


395


2,461

Total revenues
2,132

1,949

4,161,696

(67,229
)
4,098,548

Expenses
Losses and loss adjustment expenses


2,062,433


2,062,433

Acquisition expenses


595,816


595,816

Other operating expenses


512,294


512,294

Corporate expenses
47,981

1,205

2,973


52,159

Amortization of intangible assets


79,523


79,523

Interest expense
16,609

36,014

104,359

(66,272
)
90,710

Net foreign exchange (gains) losses
29


(37,347
)
(7,505
)
(44,823
)
Total expenses
64,619

37,219

3,320,051

(73,777
)
3,348,112

Income (loss) before income taxes
(62,487
)
(35,270
)
841,645

6,548

750,436

Income tax (expense) benefit

7,704

(86,643
)

(78,939
)
Income (loss) before equity in net income of subsidiaries
(62,487
)
(27,566
)
755,002

6,548

671,497

Equity in net income of subsidiaries
683,964

266,053


(950,017
)

Net income
621,477

238,487

755,002

(943,469
)
671,497

Net (income) loss attributable to noncontrolling interests


(50,976
)
956

(50,020
)
Net income available to Arch
621,477

238,487

704,026

(942,513
)
621,477

Preferred dividends
(31,242
)



(31,242
)
Loss on redemption of preferred shares
(2,710
)



(2,710
)
Net income available to Arch common shareholders
$
587,525

$
238,487

$
704,026

$
(942,513
)
$
587,525

Comprehensive income available to Arch
$
432,186

$
153,992

$
522,448

$
(676,440
)
$
432,186



ARCH CAPITAL
43
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Nine Months Ended September 30, 2017
Condensed Consolidating Statement of Income and Comprehensive Income
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Revenues
Net premiums earned
$

$

$
3,619,777

$

$
3,619,777

Net investment income
123

1,151

410,392

(66,209
)
345,457

Net realized gains (losses)


122,163


122,163

Net impairment losses recognized in earnings


(5,415
)

(5,415
)
Other underwriting income


15,519


15,519

Equity in net income (loss) of investment funds accounted for using the equity method


111,884


111,884

Other income (loss)
(368
)

(2,750
)

(3,118
)
Total revenues
(245
)
1,151

4,271,570

(66,209
)
4,206,267

Expenses
Losses and loss adjustment expenses


2,288,571


2,288,571

Acquisition expenses


566,579


566,579

Other operating expenses


514,827


514,827

Corporate expenses
53,639

3,727

12,400


69,766

Amortization of intangible assets


93,942


93,942

Interest expense
18,024

35,956

98,197

(65,242
)
86,935

Net foreign exchange (gains) losses


65,701

21,274

86,975

Total expenses
71,663

39,683

3,640,217

(43,968
)
3,707,595

Income (loss) before income taxes
(71,908
)
(38,532
)
631,353

(22,241
)
498,672

Income tax (expense) benefit

13,374

(84,129
)

(70,755
)
Income (loss) before equity in net income of subsidiaries
(71,908
)
(25,158
)
547,224

(22,241
)
427,917

Equity in net income of subsidiaries
476,546

213,586


(690,132
)

Net income
404,638

188,428

547,224

(712,373
)
427,917

Net (income) loss attributable to noncontrolling interests


(24,247
)
968

(23,279
)
Net income available to Arch
404,638

188,428

522,977

(711,405
)
404,638

Preferred dividends
(34,936
)



(34,936
)
Loss on redemption of preferred shares
(6,735
)



(6,735
)
Net income available to Arch common shareholders
$
362,967

$
188,428

$
522,977

$
(711,405
)
$
362,967

Comprehensive income available to Arch
$
648,861

$
240,759

$
745,856

$
(986,615
)
$
648,861



ARCH CAPITAL
44
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Nine Months Ended September 30, 2018
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Operating Activities
Net Cash Provided By (Used For) Operating Activities
$
222,097

$
176,851

$
1,622,248

$
(900,209
)
$
1,120,987

Investing Activities
Purchases of fixed maturity investments

(214,449
)
(25,229,184
)
605,716

(24,837,917
)
Purchases of equity securities


(819,342
)

(819,342
)
Purchases of other investments


(1,543,332
)

(1,543,332
)
Proceeds from the sales of fixed maturity investments

111,533

23,804,386

(605,716
)
23,310,203

Proceeds from the sales of equity securities


866,919


866,919

Proceeds from the sales, redemptions and maturities of other investments


1,178,035


1,178,035

Proceeds from redemptions and maturities of fixed maturity investments


724,021


724,021

Net settlements of derivative instruments


765


765

Net (purchases) sales of short-term investments
96,397

(49,031
)
506,949


554,315

Change in cash collateral related to securities lending


137,073


137,073

Contributions to subsidiaries

(2,500
)
(29,646
)
32,146


Purchases of fixed assets
(71
)

(18,979
)

(19,050
)
Other
(4
)

58,231


58,227

Net Cash Provided By (Used For) Investing Activities
96,322

(154,447
)
(364,104
)
32,146

(390,083
)
Financing Activities
Redemption of preferred shares
(92,555
)



(92,555
)
Purchases of common shares under share repurchase program
(184,529
)



(184,529
)
Proceeds from common shares issued, net
(12,029
)

32,146

(32,146
)
(12,029
)
Proceeds from borrowings


167,259


167,259

Repayments of borrowings


(427,000
)

(427,000
)
Change in cash collateral related to securities lending


(137,073
)

(137,073
)
Dividends paid to redeemable noncontrolling interests


(14,447
)
956

(13,491
)
Dividends paid to parent (1)


(899,253
)
899,253


Other


(6,084
)

(6,084
)
Preferred dividends paid
(31,242
)



(31,242
)
Net Cash Provided By (Used For) Financing Activities
(320,355
)

(1,284,452
)
868,063

(736,744
)
Effects of exchange rates changes on foreign currency cash and restricted cash


(11,625
)

(11,625
)
Increase (decrease) in cash and restricted cash
(1,936
)
22,404

(37,933
)

(17,465
)
Cash and restricted cash, beginning of year
10,048

30,380

686,856


727,284

Cash and restricted cash, end of period
$
8,112

$
52,784

$
648,923

$

$
709,819


(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.


ARCH CAPITAL
45
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)


Nine Months Ended September 30, 2017
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor)
Arch-U.S. (Subsidiary Issuer)
Other Arch Capital Subsidiaries
Consolidating Adjustments and Eliminations
Arch Capital Consolidated
Operating Activities
Net Cash Provided By (Used For) Operating Activities
$
130,715

$
70,761

$
1,444,276

$
(585,043
)
$
1,060,709

Investing Activities
Purchases of fixed maturity investments


(28,079,129
)

(28,079,129
)
Purchases of equity securities


(667,135
)

(667,135
)
Purchases of other investments


(1,406,528
)

(1,406,528
)
Proceeds from the sales of fixed maturity investments


27,629,474


27,629,474

Proceeds from the sales of equity securities


751,873


751,873

Proceeds from the sales, redemptions and maturities of other investments


938,581


938,581

Proceeds from redemptions and maturities of fixed maturity investments


747,621


747,621

Net settlements of derivative instruments


(20,952
)

(20,952
)
Net (purchases) sales of short-term investments
2,209

(27,998
)
(938,864
)

(964,653
)
Change in cash collateral related to securities lending


148,692


148,692

Contributions to subsidiaries
20,641

(72,900
)
(353,588
)
405,847


Issuance of intercompany loans


(47,000
)
47,000


Repayment of intercompany loans

47,000


(47,000
)

Acquisitions, net of cash


(27,709
)

(27,709
)
Purchases of fixed assets
(18
)

(16,844
)

(16,862
)
Other


114,730

(20,641
)
94,089

Net Cash Provided By (Used For) Investing Activities
22,832

(53,898
)
(1,226,778
)
385,206

(872,638
)
Financing Activities
Proceeds from issuance of preferred shares, net
222,054




222,054

Redemption of preferred shares
(230,000
)



(230,000
)
Proceeds from common shares issued, net
(7,484
)

405,847

(405,847
)
(7,484
)
Proceeds from intercompany borrowings


47,000

(47,000
)

Proceeds from borrowings


238,915


238,915

Repayments of intercompany borrowings


(47,000
)
47,000


Repayments of borrowings
(100,000
)

(72,000
)

(172,000
)
Change in cash collateral related to securities lending


(148,692
)

(148,692
)
Dividends paid to redeemable noncontrolling interests


(14,447
)
956

(13,491
)
Dividends paid to parent (1)


(584,087
)
584,087


Other


(69,921
)
20,641

(49,280
)
Preferred dividends paid
(34,936
)



(34,936
)
Net Cash Provided By (Used For) Financing Activities
(150,366
)

(244,385
)
199,837

(194,914
)
Effects of exchange rates changes on foreign currency cash and restricted cash


17,888


17,888

Increase (decrease) in cash and restricted cash
3,181

16,863

(8,999
)

11,045

Cash and restricted cash, beginning of year
1,738

71,955

895,876


969,569

Cash and restricted cash, end of period
$
4,919

$
88,818

$
886,877

$

$
980,614


(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.




ARCH CAPITAL
46
2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

13 .    Income Taxes

The Company’s income tax provision on income before income taxes resulted in an expense of 10.5% for the nine months ended September 30, 2018 , compared to an expense of 14.2% for the 2017 period. The Company’s effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. For interim reporting purposes, the Company has calculated its effective tax rate for the full year of 2018 by treating any changes in assessment regarding the realizability of its deferred tax assets and excess tax benefits that arise from the accounting for stock based compensation as discrete items. As such, these amounts are not included when projecting the Company’s full year effective tax rate but rather is accounted for at the U.S. Federal statutory rate of 21% after applying the projected full year effective tax rate to actual results before the discrete item. The impact of the discrete items resulted in an expense of 0.3% for the nine months ended September 30, 2018 .
On December 22, 2017, Staff Accounting Bulletin No. 118 (“SAB 118”) was issued to address the application of GAAP in situations when a registrant does not have the necessary information available, prepared or analyzed in reasonable detail to complete the accounting for certain income tax effects of the Tax Cuts and Jobs Act of 2017 (“Tax Cuts Act”). Pursuant to the guidance within SAB 118, the Company’s remeasurement of its deferred taxes at December 31, 2017 included certain provisional effects associated with enactment of the Tax Cuts Act for which measurement could be reasonably estimated. Provisional amounts may be adjusted in 2018 during the measurement period in accordance with SAB 118 when additional information is obtained. Additional information that may affect the provisional amounts would include, completion of the Company’s U.S. subsidiaries’ 2017 tax return filings, and potential future guidance from the IRS with respect to the transitional adjustment pertaining to loss reserve discounting as well as the utilization of alternative minimum tax credits. The Company’s income tax provision for the nine months ended September 30, 2018 does not include any adjustments to the provisional effects recorded at December 31, 2017.

The Company had a net deferred tax asset of $17.2 million at September 30, 2018 , compared to $39.6 million at December 31, 2017 . In addition, the Company recovered $34.0 million and paid $47.9 million of income taxes for the nine months ended September 30, 2018 and 2017 , respectively.
14 .    Legal Proceedings

The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of September 30, 2018 , the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.
15 .    Subsequent Events

Hurricane Michael
The Company estimates that its 2018 fourth quarter results will be negatively impacted by Hurricane Michael, which occurred in October 2018, in the range of $40 million to $60 million , net of reinsurance and reinstatement premiums. This pre-tax preliminary loss estimate is based on industry insured losses ranging from $7 billion to $10 billion . The Company’s preliminary estimate for Hurricane Michael is based on currently available information derived from modeling techniques, industry assessments of exposure, preliminary claims information obtained from the Company’s clients and brokers to date and a review of in-force contracts.
The Company’s actual losses from this event may vary materially from the estimates due to the inherent uncertainties in making such determinations resulting from several factors, including the preliminary nature of available information, the potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques, the contingent nature of business interruption exposures, the effects of any resultant demand surge on claims activity and attendant coverage issues. In addition, actual losses may increase if the Company’s reinsurers fail to meet their obligations to the Company or the reinsurance protections purchased by the Company are exhausted or are otherwise unavailable.

ARCH CAPITAL
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2018 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Bellemeade
On October 22, 2018, Arch MI U.S. entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re 2018-3 Ltd. (“Bellemeade 2018-3 Ltd.”), a special purpose reinsurance company domiciled in Bermuda. The agreement provides for up to $506.1 million in excess of $179.3 million of aggregate excess of loss reinsurance coverage at inception for new delinquencies on a portfolio of in-force policies primarily issued between January 1, 2018 and June 30, 2018. The coverage amount decreases over a ten -year period as the underlying covered mortgages amortize. Bellemeade 2018-3 Ltd. is funding its reinsurance obligations through the issuance of four classes of amortizing notes with ten-year legal final maturities.
In addition, Arch MI U.S. elected to terminate the agreement with Bellemeade 2016-1 Ltd. through an optional clean-up call event effective October 25, 2018.
Business Acquisitions
On November 1, 2018, the Company announced that its U.S. insurance operations entered into a definitive agreement to acquire McNeil & Co. (“McNeil”), a nationwide leader in specialized risk management and insurance programs headquartered in Cortland, New York. McNeil produced $153.7 million of premium for the Company in 2017. Post-acquisition, McNeil will support the Company’s insurance segment program product line. Approximately 140 employees will move to the Company as a result of the transaction. The transaction is expected to close in the 2018 fourth quarter and is subject to closing conditions, including regulatory approvals.
On November 1, 2018, the Company also announced that its U.K. insurance operations entered into a renewal rights transaction of a U.K. commercial lines book of business with The Ardonagh Group, consisting of commercial property, casualty, motor, professional liability, personal accident and travel business. The subject book of business generated approximately £150 m of gross premiums written in 2017. Approximately 250 employees will move to the Company as a result of the transaction. The transaction is expected to close in the 2019 first quarter.


ARCH CAPITAL
48
2018 THIRD QUARTER FORM 10-Q



ITEM 2.
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year ended December 31, 2017 (“2017 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 2017 Form 10-K. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a Bermuda public limited liability company with approximately $11.21 billion in capital at September 30, 2018 and, through operations in Bermuda, the United States, Europe, Canada and Australia, writes insurance, reinsurance and mortgage insurance on a worldwide basis.
CURRENT OUTLOOK

Our objective is to achieve an average operating return on average equity of 15% or greater over the insurance cycle, which we believe to be an attractive return to our common shareholders given the risks we assume. We continue to look for opportunities to find acceptable books of business to underwrite without sacrificing underwriting discipline and continue to write a portion of our overall book in catastrophe-exposed business which has the potential to increase the volatility of our operating results.
The broad property casualty insurance market environment continues to be competitive, with only a few specialty areas providing opportunities to deploy capital at returns which meet our risk-adjusted return requirements. In most of our insurance lines of business, rate increases appear to be in excess of loss cost trends. However, the spread between rate changes and loss trend is a key variable in assessing expected returns and, in specialty lines, is volatile by nature. Our underwriting teams continue to execute a disciplined strategy by emphasizing small and medium-sized accounts over large accounts, shrinking premiums in more commoditized lines such as general liability and directors and officers, and by utilizing reinsurance purchases to reduce volatility on large account, high capacity business. Writings in property catastrophe-exposed business continued to remain low in the 2018 third quarter .
Our mortgage segment continues to experience generally favorable market conditions, with pricing in the U.S. appearing to have stabilized in the 2018 third quarter , after the rate changes
announced in the first half of 2018. Our results continue to reflect our success in making high quality credit underwriting risk decisions and building customer relationships.
Arch remains committed to providing solutions across many offerings as the marketplace evolves, including new mortgage credit risk transfer programs initiated by government sponsored enterprises, or “GSEs,” in 2018. Such programs have begun generating business with banks developing new systems to handle the programs and momentum beginning to build. In addition, we completed two additional Bellemeade risk transfers to the capital markets in August and October, increasing our protection for mortgage tail risk.
FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:
Book Value per Share
Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price.
Book value per share was $21.15 at September 30, 2018 , compared to $20.68 at June 30, 2018 and $19.87 at September 30, 2017 . The 2.3% increase for the 2018 third quarter and 6.4% increase over the trailing twelve months reflected strong underwriting results, partially offset by the impact of an increase in interest rates on our fixed income securities in the period.
Operating Return on Average Common Equity
Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, represents net income available to Arch common shareholders, excluding net realized

ARCH CAPITAL
49
2018 THIRD QUARTER FORM 10-Q


gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to common shareholders. See “Comment on Non-GAAP Financial Measures.”
Our Operating ROAE was 11.4% for the 2018 third quarter , compared to (5.3)% for the 2017 third quarter , and 11.4% for the nine months ended September 30, 2018 , compared to 4.4% for the 2017 period. The 2018 returns reflected strong mortgage insurance underwriting performance and a low level of catastrophic activity, while the 2017 returns reflected the higher level of catastrophic activity.
Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See “Comment on Non-GAAP Financial Measures.”
Arch
Portfolio
Benchmark
Return
2018 Third Quarter
0.31
%
0.36
%
2017 Third Quarter
1.60
%
1.24
%
Nine Months Ended September 30, 2018
(0.19
)%
(0.46
)%
Nine Months Ended September 30, 2017
5.05
%
4.33
%
Excluding the effects of foreign exchange, total return was 0.37% for the 2018 third quarter and 0.29% for the nine months ended September 30, 2018 . Total return for the 2018 periods reflected the impact of rising interest rates, which dampened the total return on our investment grade fixed income portfolio, and low returns on equities.
The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and
durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At September 30, 2018 , the benchmark return index had an average credit quality of “ Aa2 ” by Moody’s Investors Service (“Moody’s”), and an estimated duration of 3.26 years.
The benchmark return index included weightings to the following indices:
%
ICE BoAML 1-10 Year U.S. Corporate & All Yankees, A - AAA Rated Index
20.00
%
ICE BoAML 1-5 Year U.S. Treasury Index
15.00

ICE BoAML 1-10 Year U.S. Municipal Securities Index
14.50

ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index
7.00

Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index
5.00

MSCI ACWI Net Total Return USD Index
5.00

ICE BoAML German Government 1-10 Year Index
5.00

ICE BoAML U.S. Mortgage Backed Securities Index
4.00

Hedge Fund Research HFRX Fixed Income Credit Index
3.50

Hedge Fund Research HFRX Equal Weighted Strategies
3.50

ICE BoAML 5-10 Year U.S. Treasury Index
3.00

ICE BoAML 1-5 Year U.K. Gilt Index
3.00

ICE BoAML U.S. High Yield Constrained Index
2.50

ICE BoAML 1-5 Year Australian Governments Index
2.50

S&P Leveraged Loan Total Return Index
2.50

ICE BoAML 0-3 Month U.S. Treasury Bill Index
2.00

ICE BoAML 1-5 Year Canada Government Index
1.50

ICE BoAML 20+ Year Canada Government Index
0.50

Total
100.00
%
COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net

ARCH CAPITAL
50
2018 THIRD QUARTER FORM 10-Q


income available to Arch common shareholders and annualized return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.
We believe that net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize investment gains or losses, the recognition of the change in the carrying value of investments accounted for using the fair value option in net realized gains or losses, the recognition of net impairment losses, the recognition of equity in net income or loss of investment funds accounted for using the equity method and the recognition of foreign exchange gains or losses are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, net impairment losses recognized in earnings on our investments represent other-than-temporary declines in expected recovery values on securities without actual realization. The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other fixed maturity securities and the timing of the recognition of equity in net income or loss of investment funds accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments. Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to the acquisition of United Guaranty Corporation, a North Carolina corporation (“UGC”) which closed at the end of 2016. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. The loss on redemption of preferred shares related to the redemption of our Series C preferred shares in January 2018 and had no impact on shareholders' equity or cash flows. Due to these reasons, we exclude net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the
equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares from the calculation of after-tax operating income available to Arch common shareholders.
We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies which follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate (non-underwriting) segment. While these measures are presented in Note 4, “Segment Information,” of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in Note 4, “Segment Information” to our consolidated financial statements.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangibles and, accordingly, investment income and other non-underwriting related items are not allocated to each underwriting segment. For the ‘other’ segment, performance is measured based on net income or loss.

Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Pursuant to generally accepted accounting principles, Watford Re is considered a variable

ARCH CAPITAL
51
2018 THIRD QUARTER FORM 10-Q


interest entity and we concluded that we are the primary beneficiary of Watford Re. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. Watford Re has its own management and board of directors that is responsible for its overall profitability. In addition, we do not guarantee or provide credit support for Watford Re. Since Watford Re is an independent company, the assets of Watford Re can be used only to settle obligations of Watford Re and Watford Re is solely responsible for its own liabilities and commitments. Our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. We believe that presenting certain information excluding the ‘other’ segment enables investors and other users of our financial information to analyze our performance in a manner similar to how our management analyzes performance.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.
RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders. Each line item reflects the impact of our approximate 11% ownership of Watford Re’s common equity.
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Net income (loss) available to Arch common shareholders
$
217,006

$
(52,760
)
$
587,525

$
362,967

Net realized (gains) losses
47,528

(64,344
)
220,718

(111,930
)
Net impairment losses recognized in earnings
492

1,878

1,124

5,415

Equity in net (income) loss of investment funds accounted for using the equity method
(15,982
)
(31,090
)
(52,523
)
(111,884
)
Net foreign exchange (gains) losses
(7,539
)
27,811

(39,021
)
85,619

Transaction costs and other
1,091

2,990

8,829

21,249

Loss on redemption of preferred shares

6,735

2,710

6,735

Income tax expense (benefit) (1)
(316
)
1,647

(9,343
)
1,580

After-tax operating income (loss) available to Arch common shareholders
$
242,280

$
(107,133
)
$
720,019

$
259,751

Beginning common shareholders’ equity
$
8,383,755

$
8,126,332

$
8,324,047

$
7,481,163

Ending common shareholders’ equity
8,575,148

8,138,589

8,575,148

8,138,589

Average common shareholders’ equity
$
8,479,452

$
8,132,461

$
8,449,598

$
7,809,876

Annualized return on average common equity %
10.2

(2.6
)
9.3

6.2

Annualized operating return on average
common equity %
11.4

(5.3
)
11.4

4.4

(1)
Income tax on net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

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Segment Information
We classify our businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — corporate (non-underwriting) and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the President and Chief Executive Officer of Arch Capital and the Chief Financial Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
Insurance Segment
The following tables set forth our insurance segment’s underwriting results:
Three Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
836,820

$
787,447

6.3

Premiums ceded
(259,968
)
(222,516
)
Net premiums written
576,852

564,931

2.1

Change in unearned premiums
(15,794
)
(29,766
)
Net premiums earned
561,058

535,165

4.8

Losses and loss adjustment expenses
(409,435
)
(568,795
)

Acquisition expenses
(88,255
)
(82,638
)

Other operating expenses
(90,081
)
(90,875
)

Underwriting income (loss)
$
(26,713
)
$
(207,143
)
n/m

Underwriting Ratios


% Point
Change
Loss ratio
73.0
%
106.3
%
(33.3
)
Acquisition expense ratio
15.7
%
15.4
%
0.3

Other operating expense ratio
16.1
%
17.0
%
(0.9
)
Combined ratio
104.8
%
138.7
%
(33.9
)
Nine Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
2,429,570

$
2,313,630

5.0

Premiums ceded
(752,413
)
(704,057
)
Net premiums written
1,677,157

1,609,573

4.2

Change in unearned premiums
(30,913
)
(51,188
)
Net premiums earned
1,646,244

1,558,385

5.6

Losses and loss adjustment expenses
(1,120,630
)
(1,252,375
)

Acquisition expenses
(264,094
)
(236,378
)

Other operating expenses
(274,735
)
(271,268
)

Underwriting income (loss)
$
(13,215
)
$
(201,636
)
n/m

Underwriting Ratios


% Point
Change
Loss ratio
68.1
%
80.4
%
(12.3
)
Acquisition expense ratio
16.0
%
15.2
%
0.8

Other operating expense ratio
16.7
%
17.4
%
(0.7
)
Combined ratio
100.8
%
113.0
%
(12.2
)
The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
Construction and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs).
Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering

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general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, war, specie and liability. Aviation and stand alone terrorism are also offered.
Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1,000 companies and smaller transaction business programs.
Premiums Written .
The following tables set forth our insurance segment’s net premiums written by major line of business:
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Professional lines
$
113,100

19.6

$
120,509

21.3

Programs
103,928

18.0

109,805

19.4

Construction and national accounts
71,888

12.5

66,053

11.7

Travel, accident and health
79,450

13.8

71,386

12.6

Property, energy, marine and aviation
60,909

10.6

48,396

8.6

Excess and surplus casualty
44,829

7.8

43,853

7.8

Lenders products
25,995

4.5

25,732

4.6

Other
76,753

13.3

79,197

14.0

Total
$
576,852

100.0

$
564,931

100.0

2018 Third Quarter versus 2017 Third Quarter . Gross premiums written by the insurance segment in the 2018 third quarter were 6.3% higher than in the 2017 third quarter , while net premiums written were 2.1% higher than in the 2017 third quarter . The increase in net premiums written reflected growth in travel insurance, due to both new business and growth in existing accounts, and in property, primarily due to new business and rate increases.
Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Professional lines
$
341,187

20.3

$
339,761

21.1

Programs
300,662

17.9

303,190

18.8

Construction and national accounts
236,700

14.1

239,504

14.9

Travel, accident and health
223,196

13.3

189,604

11.8

Property, energy, marine and aviation
175,157

10.4

134,531

8.4

Excess and surplus casualty
126,793

7.6

134,907

8.4

Lenders products
70,269

4.2

71,896

4.5

Other
203,193

12.1

196,180

12.2

Total
$
1,677,157

100.0

$
1,609,573

100.0

Nine Months Ended September 30, 2018 versus 2017 period . Gross premiums written by the insurance segment for the nine months ended September 30, 2018 were 5.0% higher than in the 2017 period, while net premiums written were 4.2% higher than in the 2017 period. The increase in net premiums written reflected growth in travel, due to both new business and growth in existing accounts, and in property, primarily due to new business and rate increases.
Net Premiums Earned .
The following tables set forth our insurance segment’s net premiums earned by major line of business:
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Professional lines
$
115,271

20.5

$
113,146

21.1

Programs
96,509

17.2

94,353

17.6

Construction and national accounts
80,381

14.3

77,779

14.5

Travel, accident and health
81,405

14.5

66,136

12.4

Property, energy, marine and aviation
53,857

9.6

46,906

8.8

Excess and surplus casualty
43,401

7.7

47,852

8.9

Lenders products
24,254

4.3

23,499

4.4

Other
65,980

11.8

65,494

12.2

Total
$
561,058

100.0

$
535,165

100.0


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Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Professional lines
$
343,515

20.9

$
330,159

21.2

Programs
288,853

17.5

267,115

17.1

Construction and national accounts
239,377

14.5

236,050

15.1

Travel, accident and health
222,994

13.5

188,053

12.1

Property, energy, marine and aviation
153,300

9.3

126,407

8.1

Excess and surplus casualty
129,994

7.9

147,709

9.5

Lenders products
70,231

4.3

72,160

4.6

Other
197,980

12.0

190,732

12.2

Total
$
1,646,244

100.0

$
1,558,385

100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned reflect changes in net premiums written over the previous five quarters. Net premiums earned in the 2018 third quarter were 4.8% higher than in the 2017 third quarter . Net premiums earned for the nine months ended September 30, 2018 were 5.6% higher than in the 2017 period.
Losses and Loss Adjustment Expenses .
The table below shows the components of the insurance segment’s loss ratio:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Current year
74.1
%
106.9
%
69.0
%
80.9
%
Prior period reserve development
(1.1
)%
(0.6
)%
(0.9
)%
(0.5
)%
Loss ratio
73.0
%
106.3
%
68.1
%
80.4
%
Current Year Loss Ratio .
The insurance segment’s current year loss ratio in the 2018 third quarter was 32.8 points lower than in the 2017 third quarter and reflected 5.8 points of current year catastrophic activity, primarily related to Hurricane Florence, compared to 40.1 points in the 2017 third quarter , primarily related to Hurricanes Harvey, Irma and Maria. The insurance segment’s current year loss ratio for the nine months ended September 30, 2018 was 11.9 points lower than in the 2017 period and reflected 2.5 points of current year catastrophic activity, compared to 14.5 points in the 2017 period. The balance of the change in the 2018 loss ratios resulted, in part, from changes in mix of business and the level of large attritional losses.
Prior Period Reserve Development .
The insurance segment’s net favorable development was $5.9 million , or 1.1 points, for the 2018 third quarter , compared to $3.0 million , or 0.6 points, for the 2017 third quarter , and $14.1 million , or 0.9 points, for the nine months ended September 30,
2018 , compared to $7.2 million , or 0.5 points, for the 2017 period. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the insurance segment’s prior year reserve development.
Underwriting Expenses .
2018 Third Quarter versus 2017 Third Quarter . The insurance segment’s underwriting expense ratio was 31.8% in the 2018 third quarter , compared to 32.4% in the 2017 third quarter . The comparison of the underwriting expense ratios reflects changes in the level of reinsurance ceded on a quota share basis and changes in the mix of business.
Nine Months Ended September 30, 2018 versus 2017 period . The insurance segment’s underwriting expense ratio was 32.7% for the nine months ended September 30, 2018 , compared to 32.6% for the 2017 period.
Reinsurance Segment
The following tables set forth our reinsurance segment’s underwriting results:
Three Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
435,396

$
422,083

3.2

Premiums ceded
(123,705
)
(105,389
)
Net premiums written
311,691

316,694

(1.6
)
Change in unearned premiums
(18,418
)
6,879

Net premiums earned
293,273

323,573

(9.4
)
Other underwriting income
1,387

1,728


Losses and loss adjustment expenses
(183,413
)
(318,609
)

Acquisition expenses
(50,367
)
(57,340
)

Other operating expenses
(29,936
)
(36,214
)

Underwriting income (loss)
$
30,944

$
(86,862
)
n/m

Underwriting Ratios
% Point
Change
Loss ratio
62.5
%
98.5
%
(36.0
)
Acquisition expense ratio
17.2
%
17.7
%
(0.5
)
Other operating expense ratio
10.2
%
11.2
%
(1.0
)
Combined ratio
89.9
%
127.4
%
(37.5
)

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2018 THIRD QUARTER FORM 10-Q


Nine Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
1,503,206

$
1,351,051

11.3

Premiums ceded
(455,682
)
(386,743
)
Net premiums written
1,047,524

964,308

8.6

Change in unearned premiums
(134,761
)
(81,182
)
Net premiums earned
912,763

883,126

3.4

Other underwriting income
2,490

1,143


Losses and loss adjustment expenses
(555,044
)
(631,669
)

Acquisition expenses
(148,828
)
(154,638
)

Other operating expenses
(101,185
)
(110,458
)

Underwriting income (loss)
$
110,196

$
(12,496
)
n/m

Underwriting Ratios
% Point
Change
Loss ratio
60.8
%
71.5
%
(10.7
)
Acquisition expense ratio
16.3
%
17.5
%
(1.2
)
Other operating expense ratio
11.1
%
12.5
%
(1.4
)
Combined ratio
88.2
%
101.5
%
(13.3
)
The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
Casualty: provides coverage to ceding company clients on third party liability and workers’ compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage to ceding company clients for proportional motor and other lines, including surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and political risk.
Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess of loss basis when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado,
flood and earthquake. Business is assumed on both a proportional and excess of loss basis. In addition, facultative business is written which focuses on individual commercial property risks on an excess of loss basis.
Other: includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.
Premiums Written .
The following tables set forth our reinsurance segment’s net premiums written by major line of business:
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Other specialty
$
105,535

33.9

$
101,400

32.0

Casualty
98,788

31.7

113,446

35.8

Property excluding property catastrophe
83,222

26.7

63,943

20.2

Property catastrophe
9,053

2.9

28,123

8.9

Marine and aviation
6,011

1.9

2,037

0.6

Other
9,082

2.9

7,745

2.4

Total
$
311,691

100.0

$
316,694

100.0

Pro rata
$
197,431

63.3

$
206,948

65.3

Excess of loss
114,260

36.7

109,746

34.7

Total
$
311,691

100.0

$
316,694

100.0

2018 Third Quarter versus 2017 Third Quarter . Gross premiums written by the reinsurance segment in the 2018 third quarter were 3.2% higher than in the 2017 third quarter , while net premiums written were 1.6% lower than in the 2017 third quarter . The lower change in net premiums written primarily reflects an increase in retrocessions on other specialty and casualty lines. Net premiums written for the 2018 third quarter reflected declines in property catastrophe and casualty lines, partially offset by growth in property excluding property catastrophe business, primarily due to new accounts. The reduction in property catastrophe net premiums written primarily related to a lower level of reinstatement premiums, as the 2017 third quarter included $15.8 million related to Hurricanes Harvey, Irma and Maria. The decline in casualty net premiums written was mostly due to the one-time impact of a retroactive reinsurance contract of $45.4 million recorded in the 2017 third quarter, which was substantially earned in that period with a corresponding increase in losses and loss adjustment expenses. A portion of the premium reduction in this line was offset by new business opportunities in the 2018 third quarter.

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2018 THIRD QUARTER FORM 10-Q


Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Other specialty
$
399,608

38.1

$
371,146

38.5

Casualty
297,077

28.4

287,120

29.8

Property excluding property catastrophe
246,268

23.5

208,445

21.6

Property catastrophe
51,730

4.9

57,773

6.0

Marine and aviation
26,084

2.5

20,510

2.1

Other
26,757

2.6

19,314

2.0

Total
$
1,047,524

100.0

$
964,308

100.0

Pro rata
$
562,454

53.7

$
536,857

55.7

Excess of loss
485,070

46.3

427,451

44.3

Total
$
1,047,524

100.0

$
964,308

100.0

Nine Months Ended September 30, 2018 versus 2017 period . Gross premiums written by the reinsurance segment for the nine months ended September 30, 2018 were 11.3% higher than in the 2017 period, while net premiums written were 8.6% higher than in the 2017 period. The increase in net premiums written reflected growth in property lines, primarily due to new business and rate increases, and in other specialty, primarily due to new international motor contracts, partially offset by a decline in property catastrophe. The reduction in property catastrophe net premiums written primarily related to a lower level of reinstatement premiums, as the 2017 period included $15.8 million related to Hurricanes Harvey, Irma and Maria.
Net Premiums Earned .
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Other specialty
$
108,311

36.9

$
96,090

29.7

Casualty
77,496

26.4

117,255

36.2

Property excluding property catastrophe
71,358

24.3

65,049

20.1

Property catastrophe
18,190

6.2

30,039

9.3

Marine and aviation
8,672

3.0

6,801

2.1

Other
9,246

3.2

8,339

2.6

Total
$
293,273

100.0

$
323,573

100.0

Pro rata
$
168,865

57.6

$
188,874

58.4

Excess of loss
124,408

42.4

134,699

41.6

Total
$
293,273

100.0

$
323,573

100.0

Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Other specialty
$
361,676

39.6

$
307,620

34.8

Casualty
231,877

25.4

270,126

30.6

Property excluding property catastrophe
210,961

23.1

197,785

22.4

Property catastrophe
52,293

5.7

61,975

7.0

Marine and aviation
28,150

3.1

26,277

3.0

Other
27,806

3.0

19,343

2.2

Total
$
912,763

100.0

$
883,126

100.0

Pro rata
$
536,493

58.8

$
503,954

57.1

Excess of loss
376,270

41.2

379,172

42.9

Total
$
912,763

100.0

$
883,126

100.0

Net premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. For the 2018 third quarter , net premiums earned were 9.4% lower than in the 2017 third quarter . The reduction was primarily due to the retroactive reinsurance contract and reinstatement premium impacts discussed above, as well as changes in net premiums written over the previous five quarters. For the nine months ended September 30, 2018 , net premiums earned were 3.4% higher than in the 2017 period, and reflect changes in net premiums written over the previous five quarters.
Other Underwriting Income (Loss) .
Other underwriting income (loss) for the 2018 third quarter was $1.4 million , compared to $1.7 million for the 2017 third quarter , and $2.5 million for the nine months ended September 30, 2018 , compared to $1.1 million for the 2017 period.
Losses and Loss Adjustment Expenses .
The table below shows the components of the reinsurance segment’s loss ratio:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Current year
74.2
%
109.8
%
72.2
%
86.6
%
Prior period reserve development
(11.7
)%
(11.3
)%
(11.4
)%
(15.1
)%
Loss ratio
62.5
%
98.5
%
60.8
%
71.5
%
Current Year Loss Ratio .
The reinsurance segment’s current year loss ratio in the 2018 third quarter was 35.6 points lower than in the 2017 third quarter and reflected 9.5 points of current year catastrophic activity, primarily related to Hurricane Florence and Typhoon Jebi, compared to 46.3 points in the 2017 third quarter , primarily related to Hurricanes Harvey, Irma and Maria.
The reinsurance segment’s current year loss ratio for the nine months ended September 30, 2018 was 14.4 points lower than

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2018 THIRD QUARTER FORM 10-Q


in the 2017 period and reflected 4.0 points of current year catastrophic activity, compared to 20.0 points in the 2017 period.
Prior Period Reserve Development .
The reinsurance segment’s net favorable development was $34.3 million , or 11.7 points, for the 2018 third quarter , compared to $36.5 million , or 11.3 points, for the 2017 third quarter , and $103.9 million , or 11.4 points, for the nine months ended September 30, 2018 , compared to $133.3 million , or 15.1 points, for the 2017 period. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the reinsurance segment’s prior year reserve development.
Underwriting Expenses .
2018 Third Quarter versus 2017 Third Quarter . The underwriting expense ratio for the reinsurance segment was 27.4% in the 2018 third quarter , compared to 28.9% in the 2017 third quarter , reflecting the non-renewal of certain reinsurance agreements between our U.S.-based insurance and reinsurance subsidiaries and Arch Reinsurance Ltd. (“Arch Re Bermuda”) were canceled on a cutoff basis as of January 1, 2018, which reduced federal excise taxes incurred by $2.3 million, or 0.8 points, and changes in the mix and type of business.
Nine Months Ended September 30, 2018 versus 2017 period . The underwriting expense ratio for the reinsurance segment was 27.4% for the nine months ended September 30, 2018 , compared to 30.0% for the 2017 period. The comparison of the underwriting expense ratios also reflected changes in the mix and type of business and a higher level of net premiums earned for the 2018 period. The underwriting expense ratio benefited from a reduction in federal excise taxes incurred of $6.9 million, or 0.8 points, as discussed above.
Mortgage Segment
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations as well as GSE credit risk sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily provided by Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (together, “Arch MI U.S.”), as well as through Arch Mortgage Guaranty Company; mortgage reinsurance by Arch Re Bermuda to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe provided by Arch MI Europe and in Hong Kong by Arch MI Asia; and various GSE credit risk sharing products provided primarily by Arch Re Bermuda.
The following tables set forth our mortgage segment’s underwriting results.
Three Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
350,559

$
347,951

0.7

Premiums ceded
(57,226
)
(57,900
)
Net premiums written
293,333

290,051

1.1

Change in unearned premiums
7,591

(15,533
)
Net premiums earned
300,924

274,518

9.6

Other underwriting income
3,733

3,599


Losses and loss adjustment expenses
(9,615
)
(35,156
)

Acquisition expenses
(33,361
)
(21,803
)

Other operating expenses
(31,122
)
(34,770
)

Underwriting income
$
230,559

$
186,388

23.7

Underwriting Ratios


% Point
Change
Loss ratio
3.2
%
12.8
%
(9.6
)
Acquisition expense ratio
11.1
%
7.9
%
3.2

Other operating expense ratio
10.3
%
12.7
%
(2.4
)
Combined ratio
24.6
%
33.4
%
(8.8
)
Nine Months Ended September 30,
2018
2017
% Change
Gross premiums written
$
1,002,727

$
1,032,800

(2.9
)
Premiums ceded
(154,230
)
(194,139
)
Net premiums written
848,497

838,661

1.2

Change in unearned premiums
23,147

(61,776
)
Net premiums earned
871,644

776,885

12.2

Other underwriting income
10,464

11,999


Losses and loss adjustment expenses
(74,672
)
(84,915
)

Acquisition expenses
(87,665
)
(76,235
)

Other operating expenses
(108,622
)
(108,790
)

Underwriting income
$
611,149

$
518,944

17.8

Underwriting Ratios


% Point
Change
Loss ratio
8.6
%
10.9
%
(2.3
)
Acquisition expense ratio
10.1
%
9.8
%
0.3

Other operating expense ratio
12.5
%
14.0
%
(1.5
)
Combined ratio
31.2
%
34.7
%
(3.5
)

ARCH CAPITAL
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2018 THIRD QUARTER FORM 10-Q


Premiums Written .
The following tables set forth our mortgage segment’s net premiums written by client location and underwriting location ( i.e. , where the business is underwritten):
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Client location:
United States
$
267,234

91.1

$
262,028

90.3

Other
26,099

8.9

28,023

9.7

Total
$
293,333

100.0

$
290,051

100.0

Underwriting location:
United States
$
240,959

82.1

$
235,447

81.2

Other
52,374

17.9

54,604

18.8

Total
$
293,333

100.0

$
290,051

100.0

2018 Third Quarter versus 2017 Third Quarter . Gross premiums written by the mortgage segment in the 2018 third quarter were 0.7% higher than in the 2017 third quarter . The growth in gross premiums written primarily reflected an increase in U.S. monthly premium business and GSE credit-risk sharing transactions, partially offset by a lower level of U.S. single premium business and a decrease in Australian mortgage reinsurance business. Net premiums written for the 2018 third quarter were 1.1% higher than in the 2017 third quarter and reflected a higher level of ceded premiums related to the new Bellemeade transaction in the 2018 third quarter , while the 2017 third quarter reflected higher retrocessions of Australian mortgage reinsurance business.
Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Client location:
United States
$
768,748

90.6

$
756,620

90.2

Other
79,749

9.4

82,041

9.8

Total
$
848,497

100.0

$
838,661

100.0

Underwriting location:
United States
$
691,851

81.5

$
679,442

81.0

Other
156,646

18.5

159,219

19.0

Total
$
848,497

100.0

$
838,661

100.0

Nine Months Ended September 30, 2018 versus 2017 period . Gross premiums written by the mortgage segment for the nine months ended September 30, 2018 were 2.9% lower than in the 2017 period. The reduction in gross premiums written primarily reflected a lower level of Australian mortgage reinsurance business and a lower level of U.S. single premium business. Net premiums written for the nine months ended September 30, 2018 were 1.2% higher than in the 2017 period and reflected a higher level of ceded premiums related to new Bellemeade transactions, while the 2017 period also reflected higher retrocessions of Australian mortgage reinsurance business.
The persistency rate, which represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period, of the Arch MI U.S. portfolio of mortgage loans was 82.0% at September 30, 2018 , compared to 81.8% at December 31, 2017.
Arch MI U.S. generated $21.4 billion of new insurance written (“NIW”) in the 2018 third quarter , compared to $17.7 billion in the 2017 third quarter , as a higher level of purchase market activity more than offset a reduction in single premium business. NIW represents the original principal balance of all loans that received coverage during the period. Monthly premium policies contributed 92.6 % of NIW in the 2018 third quarter , compared to 87.0 % for the 2017 third quarter .
The following tables provide details on the NIW generated by Arch MI U.S.:
(U.S. Dollars in millions)
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Total new insurance written (NIW) (1)
$
21,425

$
17,683

Credit quality (FICO):
>=740
$
12,013

56.1

$
10,063

56.9

680-739
7,728

36.1

6,357

35.9

620-679
1,684

7.9

1,263

7.1

Total
$
21,425

100.0

$
17,683

100.0

Loan-to-value (LTV):
95.01% and above
$
3,231

15.1

$
1,757

9.9

90.01% to 95.00%
9,689

45.2

8,406

47.5

85.01% to 90.00%
6,264

29.2

5,668

32.1

85.01% and below
2,241

10.5

1,852

10.5

Total
$
21,425

100.0

$
17,683

100.0

Monthly vs. single:
Monthly
$
19,842

92.6

$
15,392

87.0

Single
1,583

7.4

2,291

13.0

Total
$
21,425

100.0

$
17,683

100.0

Purchase vs. refinance:
Purchase
$
20,397

95.2

$
16,460

93.1

Refinance
1,028

4.8

1,223

6.9

Total
$
21,425

100.0

$
17,683

100.0

(1)
Represents the original principal balance of all loans that received coverage during the period.

ARCH CAPITAL
59
2018 THIRD QUARTER FORM 10-Q


(U.S. Dollars in millions)
Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Total new insurance written (NIW) (1)
$
52,742

$
47,646

Credit quality (FICO):
>=740
$
29,933

56.8

$
27,061

56.8

680-739
18,952

35.9

17,246

36.2

620-679
3,857

7.3

3,339

7.0

Total
$
52,742

100.0

$
47,646

100.0

Loan-to-value (LTV):
95.01% and above
$
7,328

13.9

$
4,429

9.3

90.01% to 95.00%
24,030

45.6

22,763

47.8

85.01% to 90.00%
15,817

30.0

15,191

31.9

85.01% and below
5,567

10.6

5,263

11.0

Total
$
52,742

100.0

$
47,646

100.0

Monthly vs. single:
Monthly
$
49,046

93.0

$
40,592

85.2

Single
3,696

7.0

7,054

14.8

Total
$
52,742

100.0

$
47,646

100.0

Purchase vs. refinance:
Purchase
$
49,556

94.0

$
43,243

90.8

Refinance
3,186

6.0

4,403

9.2

Total
$
52,742

100.0

$
47,646

100.0

(1)
Represents the original principal balance of all loans that received coverage during the period.
Net Premiums Earned .
The following tables set forth our mortgage segment’s net premiums earned by client location and underwriting location ( i.e. , where the business is underwritten):
Three Months Ended September 30,
2018
2017
Amount
%
Amount
%
Client Location:
United States
$
284,110

94.4

$
262,324

95.6

Other
16,814

5.6

12,194

4.4

Total
$
300,924

100.0

$
274,518

100.0

Underwriting location:
United States
$
256,231

85.1

$
233,862

85.2

Other
44,693

14.9

40,656

14.8

Total
$
300,924

100.0

$
274,518

100.0

Nine Months Ended September 30,
2018
2017
Amount
%
Amount
%
Client Location:
United States
$
824,716

94.6

$
745,011

95.9

Other
46,928

5.4

31,874

4.1

Total
$
871,644

100.0

$
776,885

100.0

Underwriting location:
United States
$
742,269

85.2

$
661,645

85.2

Other
129,375

14.8

115,240

14.8

Total
$
871,644

100.0

$
776,885

100.0

Net premiums earned for the 2018 third quarter were 9.6% higher than in the 2017 third quarter . For the nine months ended September 30, 2018 , net premiums earned were 12.2% higher than in the 2017 period. The increases were primarily due to growth in insurance in force for Arch MI U.S.
Other Underwriting Income .
Other underwriting income, which is primarily related to older GSE credit risk-sharing transactions receiving derivative accounting treatment, was $3.7 million for the 2018 third quarter , compared to $3.6 million for the 2017 third quarter , and $10.5 million for the nine months ended September 30, 2018 , compared to $12.0 million for the 2017 period.
Losses and Loss Adjustment Expenses .
The table below shows the components of the mortgage segment’s loss ratio:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Current year
16.0
%
20.6
%
17.2
%
20.5
%
Prior period reserve development
(12.8
)%
(7.8
)%
(8.6
)%
(9.6
)%
Loss ratio
3.2
%
12.8
%
8.6
%
10.9
%
Current Year Loss Ratio .
The mortgage segment’s current year loss ratio was 4.6 points lower in the 2018 third quarter than in the 2017 third quarter . The mortgage segment’s current year loss ratio was 3.3 points lower for the nine months ended September 30, 2018 than for the 2017 period. The lower current year loss ratios for the 2018 periods reflect the current favorable macroeconomic environment.
Prior Period Reserve Development .
The mortgage segment’s net favorable development was $38.6 million , or 12.8 points, for the 2018 third quarter , compared to $21.5 million , or 7.8 points, for the 2017 third quarter , and $74.9 million , or 8.6 points, for the nine months ended September 30, 2018 , compared to $74.9 million , or 9.6 points, for the 2017 period. See note 5, “Reserve for Losses and Loss Adjustment

ARCH CAPITAL
60
2018 THIRD QUARTER FORM 10-Q


Expenses,” to our consolidated financial statements for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses .
2018 Third Quarter versus 2017 Third Quarter . The underwriting expense ratio for the mortgage segment was 21.4% in the 2018 third quarter , compared to 20.6% in the 2017 third quarter , reflecting a higher level of acquisition expenses due to higher NIW and a lower level of other operating expenses.
Nine Months Ended September 30, 2018 versus 2017 period . The underwriting expense ratio for the mortgage segment was 22.6% for the nine months ended September 30, 2018 , compared to 23.8% for the 2017 period. The lower underwriting expense ratio in the 2018 period reflected a higher level of net premiums earned and expense savings from integration efforts following the acquisition of UGC.
Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, items related to our non-cumulative preferred shares, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and income taxes. Such amounts exclude the results of the ‘other’ segment.
Net Investment Income.
The components of net investment income were derived from the following sources:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Fixed maturities
$
103,252

$
84,602

$
294,658

$
251,039

Equity securities
3,426

3,210

10,408

10,152

Short-term investments
4,417

2,514

12,591

5,624

Other (1)
18,030

18,238

56,501

57,770

Gross investment income
129,125

108,564

374,158

324,585

Investment expenses (2)
(14,797
)
(14,437
)
(51,826
)
(42,126
)
Net investment income
$
114,328

$
94,127

$
322,332

282,459

(1)
Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.
(2)
Investment expenses were approximately 0.29% of average invested assets for the 2018 third quarter , compared to 0.32% for the 2017 third quarter , and 0.36% for the nine months ended September 30, 2018 , compared to 0.30% for the 2017 period.
The higher level of net investment income for the 2018 third quarter reflected an increase in the embedded book yield on fixed income securities, partially offset by a higher level of expenses. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 2.45% for the 2018 third quarter , compare to 2.00% for the 2017 third quarter , and 2.31% for the nine months ended September 30, 2018 , compared to 2.04% for the 2017 period.
Corporate Expenses.
Corporate expenses were $13.2 million for the 2018 third quarter , compared to $14.1 million for the 2017 third quarter , and $43.3 million for the nine months ended September 30, 2018 , compared to $48.5 million for the 2017 period. The lower level of corporate expenses in the 2018 periods was primarily due to lower incentive compensation costs.
Transaction Costs and Other.
Transaction costs and other were $1.1 million for the 2018 third quarter , compared to $3.0 million for the 2017 third quarter , and $8.8 million for the nine months ended September 30, 2018 , compared to $21.2 million for the 2017 period. Amounts for the nine months ended September 30, 2018 were primarily attributable to the write off of intangible assets related to insurance licenses for a subsidiary of UGC which was merged with another subsidiary. Amounts for the 2017 periods primarily related to severance and related costs along with incentive compensation paid in conjunction with the UGC acquisition.
Amortization of Intangible Assets.
Amortization of intangible assets for the 2018 third quarter was $26.3 million , compared to $31.8 million for the 2017 third quarter , and $79.5 million for the nine months ended September 30, 2018 , compared to $93.9 million for the 2017 period. Amounts in both periods primarily related to amortization of finite-lived intangible assets related to the UGC acquisition, as disclosed in our Form 10-K.
Interest Expense.
Interest expense was $24.7 million for the 2018 third quarter , compared to the $26.3 million for the 2017 third quarter , and $76.6 million for the nine months ended September 30, 2018 , compared to $77.9 million for the 2017 period.
Loss on Redemption of Preferred Shares.
In January 2018, we redeemed all remaining 6.75% Series C preferred shares and, in accordance with GAAP, recorded a loss of $2.7 million to remove original issuance costs related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.

ARCH CAPITAL
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2018 THIRD QUARTER FORM 10-Q


Net Realized Gains or Losses.
We recorded net realized losses of $47.0 million for the 2018 third quarter , compared to net realized gains of $64.1 million for the 2017 third quarter , and net realized losses of $218.4 million for the nine months ended September 30, 2018 , compared to net realized gains of $110.7 million for the 2017 period. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains and losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations. Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets and liabilities accounted for using the fair value option and in the fair value of equities pursuant to new accounting guidance effective in the 2018 first quarter, along with re-measurement of contingent consideration liability amounts. See note 6, “Investment Information—Net Realized Gains (Losses),” to our consolidated financial statements for additional information.
Net Impairment Losses Recognized in Earnings.
We recorded $0.5 million of impairment losses for the 2018 third quarter , compared to $1.9 million for the 2017 third quarter , and $1.1 million for the nine months ended September 30, 2018 , compared to $5.4 million for the 2017 period. See note 6, “Investment Information—Other-Than-Temporary Impairments,” to our consolidated financial statements for additional information.
Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method.
We recorded $16.0 million of equity in net income related to investment funds accounted for using the equity method in the 2018 third quarter , compared to $31.1 million of income for the 2017 third quarter , and $52.5 million of income for the nine months ended September 30, 2018 , compared to $111.9 million for the 2017 period. Investment funds accounted for using the equity method totaled $1.52 billion at September 30, 2018 , compared to $1.04 billion at December 31, 2017 .
Net Foreign Exchange Gains or Losses.
Net foreign exchange gains for the 2018 third quarter were $7.1 million , compared to net foreign exchange losses for the 2017 third quarter of $27.8 million . Net foreign exchange gains for the nine months ended September 30, 2018 were $38.3 million , compared to net foreign exchange losses for the 2017 period of $85.5 million . Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net
insurance liabilities required to be settled in foreign currencies at each balance sheet date.
Income Tax Expense.
Our income tax provision on income (loss) before income taxes resulted in an expense of 12.9% for the 2018 third quarter and 11.3% for the nine months ended September 30, 2018 , compared to 14.9% for the 2017 period. The effective tax rates for the 2018 third quarter and nine months ended September 30, 2018 included a discrete income tax expense of $5.6 million and $2.6 million, respectively. The discrete tax items in the 2018 periods primarily relate to a change in judgment regarding the realizability of certain deferred tax assets in the 2018 third quarter , partially offset by tax benefits associated with share-based compensation. Our effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. The change in the U.S. federal corporate tax rate from 35% to 21% commencing on January 1, 2018 contributed to a lower effective tax rate for the 2018 periods as compared to the 2017 periods.
Other Segment
The ‘other’ segment includes the results of Watford Re. Pursuant to generally accepted accounting principles, Watford Re is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford Re. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. See note 10, “Variable Interest Entities and Noncontrolling Interests” and note 4, “Segment Information,” to our consolidated financial statements for additional information on Watford Re.
CRITICAL ACCOUNTING POLICIES,
ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS

Critical accounting policies, estimates and recent accounting pronouncements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 2017 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including note 1, “Basis of Presentation and Recent Accounting Pronouncements.”

ARCH CAPITAL
62
2018 THIRD QUARTER FORM 10-Q


FINANCIAL CONDITION

Investable Assets
At September 30, 2018 , total investable assets held by Arch were $19.59 billion , excluding the $2.73 billion included in the ‘other’ segment ( i.e. , attributable to Watford Re).
Investable Assets Held by Arch
The following table summarizes the fair value of the investable assets held by Arch:
Investable assets (1):
Estimated
Fair Value
% of
Total
September 30, 2018
Fixed maturities (2)
$
14,666,265

74.9

Short-term investments (2)
986,108

5.0

Cash
586,353

3.0

Equity securities (2)
473,071

2.4

Other investments (2)
1,233,280

6.3

Investments accounted for using the equity method
1,524,242

7.8

Securities transactions entered into but not settled at the balance sheet date
122,863

0.6

Total investable assets held by Arch
$
19,592,182

100.0

Average effective duration (in years)
2.94

Average S&P/Moody’s credit ratings (3)
AA/Aa2

Embedded book yield (4)
2.78
%
December 31, 2017
Fixed maturities (2)
$
14,798,213

75.1

Short-term investments (2)
1,509,713

7.7

Cash
551,696

2.8

Equity securities (2)
576,040

2.9

Other investments (2)
1,476,960

7.5

Investments accounted for using the equity method
1,041,322

5.3

Securities transactions entered into but not settled at the balance sheet date
(237,523
)
(1.2
)
Total investable assets held by Arch
$
19,716,421

100.0

Average effective duration (in years)
2.83

Average S&P/Moody’s credit ratings (3)
AA-/Aa2

Embedded book yield (4)
2.32
%
(1)
In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)
Includes investments carried at fair value under the fair value option.
(3)
Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
(4)
Before investment expenses.
At September 30, 2018 , approximately $13.73 billion , or 70.1% , of total investable assets held by Arch were internally managed, compared to $13.73 billion , or 69.6% , at December 31, 2017 .
The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
Estimated
Fair Value
% of
Total
September 30, 2018

Corporate bonds
$
5,853,112

39.9

Mortgage backed securities
477,547

3.3

Municipal bonds
1,221,893

8.3

Commercial mortgage backed securities
682,516

4.7

U.S. government and government agencies
3,133,301

21.4

Non-U.S. government securities
1,690,982

11.5

Asset backed securities
1,606,914

11.0

Total
$
14,666,265

100.0

December 31, 2017

Corporate bonds
$
4,787,272

32.4

Mortgage backed securities
328,924

2.2

Municipal bonds
2,158,840

14.6

Commercial mortgage backed securities
545,817

3.7

U.S. government and government agencies
3,484,257

23.5

Non-U.S. government securities
1,704,337

11.5

Asset backed securities
1,788,766

12.1

Total
$
14,798,213

100.0

The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value
% of
Total
September 30, 2018
U.S. government and gov’t agencies (1)
$
3,672,429

25.0

AAA
3,691,522

25.2

AA
2,047,332

14.0

A
3,163,536

21.6

BBB
1,317,999

9.0

BB
288,178

2.0

B
219,667

1.5

Lower than B
61,001

0.4

Not rated
204,601

1.4

Total
$
14,666,265

100.0

December 31, 2017
U.S. government and gov’t agencies (1)
$
3,771,835

25.5

AAA
4,080,808

27.6

AA
2,440,864

16.5

A
2,470,936

16.7

BBB
1,157,136

7.8

BB
313,286

2.1

B
254,011

1.7

Lower than B
77,543

0.5

Not rated
231,794

1.6

Total
$
14,798,213

100.0

(1)
Includes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities.

ARCH CAPITAL
63
2018 THIRD QUARTER FORM 10-Q


The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:
Estimated Fair Value
Gross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
September 30, 2018
0-10%
$
12,883,470

$
(222,816
)
98.0

10-20%
27,524

(3,882
)
1.7

20-30%
1,112

(317
)
0.1

Greater than 30%
514

(310
)
0.1

Total
$
12,912,620

$
(227,325
)
100.0

December 31, 2017
0-10%
$
9,598,768

$
(93,057
)
87.6

10-20%
82,638

(11,269
)
10.6

20-30%
2,108

(671
)
0.6

Greater than 30%
1,881

(1,184
)
1.1

Total
$
9,685,395

$
(106,181
)
100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at September 30, 2018 , excluding guaranteed amounts and covered bonds:
Estimated Fair Value
Credit
Rating (1)
Bank of America Corporation
$
196,274

A-/A3
JPMorgan Chase & Co.
192,109

A-/A2
Apple Inc.
170,850

AA+/Aa1
Citigroup Inc.
154,844

A/A2
Wells Fargo & Company
142,121

A/A1
Nestle S.A.
120,486

AA-/Aa2
Daimler AG
98,702

A/A2
Philip Morris International Inc.
97,997

A/A2
Morgan Stanley
95,361

BBB+/A3
Toyota Motor Corporation
91,527

AA-/Aa3
Total
$
1,360,271

(1)
Average credit ratings as assigned by S&P and Moody’s, respectively.
The following table provides information on our structured securities, which includes residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset-backed securities (“ABS”):
Agencies
Investment Grade
Below Investment Grade
Total
September 30, 2018
RMBS
$
435,294

$
16,703

$
25,550

$
477,547

CMBS
103,834

557,501

21,181

682,516

ABS

1,530,816

76,098

1,606,914

Total
$
539,128

$
2,105,020

$
122,829

$
2,766,977

December 31, 2017
RMBS
$
284,466

$
14,581

$
29,877

$
328,924

CMBS
3,112

465,980

76,725

545,817

ABS

1,691,232

97,534

1,788,766

Total
$
287,578

$
2,171,793

$
204,136

$
2,663,507

At September 30, 2018 , our structured securities included $39.0 million par value in sub-prime securities with a fair value of $31.4 million and average credit quality ratings from S&P/Moody’s of “ CCC-/Caa3 ,” compared to $42.3 million par value with a fair value of $35.4 million and average credit quality ratings of “ CCC/Caa3 ” at December 31, 2017 .
The following table provides information on the fair value of our Eurozone investments at September 30, 2018 :
Country (1)
Sovereign
(2)
Corporate Bonds
Other
(3)
Total
Germany
$
283,727

$
3,319

$
48,194

$
335,240

Netherlands
106,070

143,435

26,580

276,085

France
20,013

36,989

32,614

89,616

Luxembourg

11,667

7,824

19,491

Ireland

9,349

3,885

13,234

Spain

2,430

8,949

11,379

Austria
3,955



3,955

Belgium


3,345

3,345

Finland

198

1,878

2,076

Portugal


1,558

1,558

Italy


1,359

1,359

Greece
75


733

808

Total
$
413,840

$
207,387

$
136,919

$
758,146

(1)
The country allocations set forth in the table are based on various assumptions made by us in assessing the country in which the underlying credit risk resides, including a review of the jurisdiction of organization, business operations and other factors. Based on such analysis, we do not believe that we have any other Eurozone investments at September 30, 2018 .
(2)
Includes securities issued and/or guaranteed by Eurozone governments.
(3)
Includes bank loans, equities and other.
At September 30, 2018 , our investment portfolio included $473.1 million of equity securities, compared to $576.0 million at December 31, 2017 . Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.

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2018 THIRD QUARTER FORM 10-Q


The following table summarizes our other investments:
September 30,
2018
December 31,
2017
Term loan investments
$
291,095

$
326,085

Asian and emerging markets
282,606

344,068

Mezzanine debt funds
241,968

252,160

Credit related funds
200,226

193,787

Investment grade fixed income
97,347

156,225

Other (1)
120,038

204,635

Total
$
1,233,280

$
1,476,960

(1)
Includes fund investments with strategies in mortgage servicing rights, transportation and infrastructure assets and other.
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 8, “Derivative Instruments,” to our consolidated financial statements for additional disclosures related to derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 7, “Fair Value,” to our consolidated financial statements for a summary of our financial assets and liabilities measured at fair value, segregated by level in the fair value hierarchy.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford Re. The board of directors of Watford Re establishes their investment policies and guidelines. Watford Re’s investments are accounted for using the fair value option with changes in the carrying value of such investments recorded in net realized gains or losses.
The following table summarizes investable assets in the ‘other’ segment:
September 30,
2018
December 31,
2017
Investments accounted for using the fair value option:
Other investments
$
1,108,396

$
924,410

Fixed maturities
1,021,132

1,177,033

Short-term investments
224,525

256,755

Equity securities
69,956

67,868

Total
2,424,009

2,426,066

Fixed maturities available for sale, at fair value
305,388


Equity securities, at fair value
46,581


Cash
64,684

54,503

Securities sold but not yet purchased
(9,065
)
(34,375
)
Securities transactions entered into but not settled at the balance sheet date
(99,537
)
(6,127
)
Total investable assets included in ‘other’ segment
$
2,732,060

$
2,440,067

Premiums Receivable and Reinsurance Recoverables
At September 30, 2018 , 80.0% of premiums receivable of $1.31 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 4.9% of the total. At December 31, 2017 , 78.2% of premiums receivable of $1.14 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 4.0% of the total. Our reserves for doubtful accounts were approximately $27.6 million at September 30, 2018 , compared to $25.3 million at December 31, 2017 .
At September 30, 2018 and December 31, 2017 , approximately 64.6% and 69.9% of reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.75 billion and $2.54 billion , respectively, were due from carriers which had an A.M. Best rating of “A-” or better while 35.4% and 30.1% , respectively, were from companies not rated. For items not rated, over 90% of such amount was collateralized through reinsurance trusts or letters of credit at September 30, 2018 and December 31, 2017 . The largest reinsurance recoverables from any one carrier was approximately 2.8% and 2.2% , respectively, of total shareholders’ equity available to Arch at September 30, 2018 and December 31, 2017 . Growth in items not rated is due to recoverables from a third party reinsurer related to a retroactive reinsurance transaction to reinsure run-off liabilities associated with certain discontinued U.S. specialty casualty and program exposures. Such amounts are fully collateralized. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for additional information.

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2018 THIRD QUARTER FORM 10-Q


Approximately 5.6% of the $72.5 million of paid losses and loss adjustment expenses recoverable at September 30, 2018 were more than 90 days overdue, compared to 3.0% of the $75.2 million of paid losses and loss adjustment expenses recoverable at December 31, 2017 . No collection issues were indicated on the amount in excess of 90 days overdue at September 30, 2018 .
The effects of reinsurance on written and earned premiums and losses and loss adjustment expenses (“LAE”) with unaffiliated reinsurers were as follows:
Three Months Ended
Nine Months Ended
September 30,
September 30,
2018
2017
2018
2017
Premiums written:
Direct
$
1,242,276

$
1,147,793

$
3,601,410

$
3,338,106

Assumed
489,052

500,453

1,664,676

1,577,789

Ceded
(397,775
)
(322,843
)
(1,221,093
)
(1,065,537
)
Net
$
1,333,553

$
1,325,403

$
4,044,993

$
3,850,358

Premiums earned:
Direct
$
1,223,445

$
1,121,168

$
3,545,493

$
3,216,268

Assumed
466,361

501,587

1,446,815

1,431,746

Ceded
(398,928
)
(360,869
)
(1,129,768
)
(1,028,237
)
Net
$
1,290,878

$
1,261,886

$
3,862,540

$
3,619,777

Losses and LAE:
Direct
$
718,921

$
917,721

$
1,807,860

$
1,968,900

Assumed
198,248

621,717

759,527

1,112,255

Ceded
(217,749
)
(493,297
)
(504,954
)
(792,584
)
Net
$
699,420

$
1,046,141

$
2,062,433

$
2,288,571

Reserves for Losses and Loss Adjustment Expenses
We establish reserves for losses and loss adjustment expenses (“Loss Reserves”) which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult, which is exacerbated by the fact that we have relatively limited historical experience upon which to base such estimates. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.
At September 30, 2018 and December 31, 2017 , our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:
September 30,
2018
December 31,
2017
Insurance segment:


Case reserves
$
1,452,306

$
1,648,910

IBNR reserves
3,250,821

3,272,351

Total net reserves
4,703,127

4,921,261

Reinsurance segment:
Case reserves
1,110,837

1,033,413

Additional case reserves
153,014

158,377

IBNR reserves
1,518,487

1,499,962

Total net reserves
2,782,338

2,691,752

Mortgage segment:
Case reserves
371,196

443,069

IBNR reserves
139,035

104,169

Total net reserves (1)
510,231

547,238

Other segment:
Case reserves
347,948

260,876

Additional case reserves
23,691

32,587

IBNR reserves
524,196

465,168

Total net reserves
895,835

758,631

Total:


Case reserves
3,282,287

3,386,268

Additional case reserves
176,705

190,964

IBNR reserves
5,432,539

5,341,650

Total net reserves
$
8,891,531

$
8,918,882

(1)
At September 30, 2018 , total net reserves include $417.3 million from U.S. mortgage insurance business, of which 75.2% represents policy years 2008 and prior and the remainder from later policy years. At December 31, 2017 , total net reserves include $477.1 million from U.S. mortgage insurance business, of which 79.8% represents policy years 2008 and prior and the remainder from later policy years.
At September 30, 2018 and December 31, 2017 , the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
September 30,
2018
December 31,
2017
Insurance segment:
Professional lines (1)
$
1,267,979

$
1,308,261

Construction and national accounts
1,143,717

1,094,300

Excess and surplus casualty (2)
630,692

672,903

Programs
454,355

644,340

Property, energy, marine and aviation
383,387

437,518

Travel, accident and health
87,178

86,122

Lenders products
50,357

53,912

Other (3)
685,462

623,905

Total net reserves
$
4,703,127

$
4,921,261

(1)
Includes professional liability, executive assurance and healthcare business.
(2)
Includes casualty and contract binding business.
(3)
Includes alternative markets, excess workers’ compensation and surety business.

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2018 THIRD QUARTER FORM 10-Q


At September 30, 2018 and December 31, 2017 , the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
September 30,
2018
December 31,
2017
Reinsurance segment:
Casualty (1)
$
1,496,712

$
1,489,933

Other specialty (2)
604,290

523,321

Property excluding property catastrophe (3)
397,091

376,020

Marine and aviation
132,324

135,484

Property catastrophe
80,297

98,622

Other (4)
71,624

68,372

Total net reserves
$
2,782,338

$
2,691,752

(1)
Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(2)
Includes non-excess motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(3)
Includes facultative business.
(4)
Includes life, casualty clash and other.
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at September 30, 2018 and December 31, 2017 :
(U.S. Dollars in millions)
September 30, 2018
December 31, 2017
Amount
%
Amount
%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance
$
272,409

73.1

$
253,914

72.2

Mortgage reinsurance
26,500

7.1

28,017

8.0

Other (2)
73,903

19.8

69,905

19.9

Total
$
372,812

100.0

$
351,836

100.0

Risk In Force (RIF) (3):
U.S. primary mortgage insurance
$
69,764

92.5

$
64,904

92.3

Mortgage reinsurance
2,264

3.0

2,473

3.5

Other (2)
3,425

4.5

2,921

4.2

Total
$
75,453

100.0

$
70,298

100.0

(1)
Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)
Includes GSE credit risk-sharing transactions and international insurance business.
(3)
Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at September 30, 2018 :
(U.S. Dollars in millions)
IIF
RIF
Delinquency
Amount
%
Amount
%
Rate (1)
Policy year:
2008 and prior
$
22,238

8.2

$
5,041

7.2

8.84
%
2009
807

0.3

187

0.3

2.88
%
2010
721

0.3

196

0.3

2.51
%
2011
2,875

1.1

792

1.1

1.49
%
2012
10,534

3.9

2,901

4.2

0.73
%
2013
17,913

6.6

4,968

7.1

0.84
%
2014
19,258

7.1

5,193

7.4

0.90
%
2015
35,608

13.1

9,290

13.3

0.62
%
2016
55,043

20.2

14,040

20.1

0.64
%
2017
55,876

20.5

14,162

20.3

0.44
%
2018
51,536

18.9

12,994

18.6

0.07
%
Total
$
272,409

100.0

$
69,764

100.0

1.60
%
(1)
Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2017 :
(U.S. Dollars in millions)
IIF
RIF
Delinquency
Amount
%
Amount
%
Rate (1)
Policy year:
2008 and prior
$
26,140

10.3

$
6,003

9.2

10.24
%
2009
1,072

0.4

253

0.4

2.94
%
2010
1,089

0.4

295

0.5

2.31
%
2011
3,828

1.5

1,046

1.6

1.37
%
2012
13,247

5.2

3,629

5.6

0.75
%
2013
21,840

8.6

5,996

9.2

0.95
%
2014
22,884

9.0

6,112

9.4

1.10
%
2015
41,991

16.5

10,828

16.7

0.77
%
2016
62,020

24.4

15,643

24.1

0.80
%
2017
59,803

23.6

15,099

23.3

0.35
%
Total
$
253,914

100.0

$
64,904

100.0

2.23
%
(1)
Represents the ending percentage of loans in default.

ARCH CAPITAL
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2018 THIRD QUARTER FORM 10-Q


The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at September 30, 2018 and December 31, 2017 :
(U.S. Dollars in millions)
September 30, 2018
December 31, 2017
Amount
%
Amount
%
Credit quality (FICO):
>=740
$
40,466

58.0

$
37,794

58.2

680-739
23,371

33.5

21,213

32.7

620-679
5,413

7.8

5,159

7.9

<620
514

0.7

738

1.1

Total
$
69,764

100.0

$
64,904

100.0

Weighted average FICO score
743

743

Loan-to-value (LTV):
95.01% and above
$
7,506

10.8

$
6,337

9.8

90.01% to 95.00%
38,748

55.5

36,174

55.7

85.01% to 90.00%
20,464

29.3

19,482

30.0

85.00% and below
3,046

4.4

2,911

4.5

Total
$
69,764

100.0

$
64,904

100.0

Weighted average LTV
93.0
%
92.9
%
Total RIF, net of external reinsurance
$
54,558

$
49,100

(U.S. Dollars in millions)
September 30, 2018
December 31, 2017
Amount
%
Amount
%
Total RIF by State:
Texas
$
5,406

7.7

$
5,151

7.9

California
4,310

6.2

3,803

5.9

Florida
3,395

4.9

2,881

4.4

Virginia
2,914

4.2

2,773

4.3

Georgia
2,542

3.6

2,331

3.6

North Carolina
2,500

3.6

2,410

3.7

Illinois
2,442

3.5

2,229

3.4

Washington
2,370

3.4

2,294

3.5

Maryland
2,369

3.4

2,234

3.4

Minnesota
2,365

3.4

2,165

3.3

Others
39,151

56.1

36,633

56.4

Total
$
69,764

100.0

$
64,904

100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics:
(U.S. Dollars in thousands, except policy, loan and claim count)
Nine Months Ended
September 30,
2018
2017
Roll-forward of insured loans in default:
Beginning delinquent number of loans
27,068

29,691

New notices (1)
27,258

27,749

Cures
(31,111
)
(28,676
)
Paid claims
(2,854
)
(4,994
)
Ending delinquent number of loans (1)(2)
20,361

23,770

Ending number of policies in force (2)
1,270,728

1,202,619

Delinquency rate (1)(2)
1.60
%
1.98
%
Losses:
Number of claims paid
2,854

4,994

Total paid claims
$
118,492

$
216,155

Average per claim
$
41.5

$
43.3

Severity (3)
102.0
%
103.1
%
Average reserve per default (in thousands)
$
18.1

$
19.3

(1)
There were no incremental new notices for the nine months ended September 30, 2018 and 450 ending delinquent loans at September 30, 2018 attributable to the 2017 third quarter hurricanes.
(2)
Includes first lien primary and pool policies.
(3)
Represents total paid claims divided by RIF of loans for which claims were paid.
The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 11.4 to 1 at September 30, 2018 , compared to 10.8 to 1 at December 31, 2017.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $9.36 billion at September 30, 2018 , compared to $9.20 billion at December 31, 2017 . The increase reflected strong underwriting results, partially offset by share buybacks and negative investment returns resulting from the increase in interest rates during the period.

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The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except
share data)
September 30,
2018
December 31,
2017
Total shareholders’ equity available to Arch
$
9,355,148

$
9,196,602

Less preferred shareholders’ equity
780,000

872,555

Common shareholders’ equity available to Arch
$
8,575,148

$
8,324,047

Common shares and common share equivalents outstanding, net of treasury shares (1)
405,524,360

409,956,417

Book value per share
$
21.15

$
20.30

(1)
Excludes the effects of 20,078,946 and 19,770,174 stock options and 1,442,564 and 913,488 restricted stock units outstanding at September 30, 2018 and December 31, 2017 , respectively.
LIQUIDITY

This section does not include information specific to Watford Re. We do not guarantee or provide credit support for Watford Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.
Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.
For the nine months ended September 30, 2018 , Arch Capital received dividends of $269.2 million from Arch Re Bermuda, our Bermuda-based reinsurer and insurer, which can pay approximately $1.90 billion to Arch Capital during the remainder of 2018 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).
For the nine months ended September 30, 2018 , Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) received $25.0 million of dividends from Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-licensed reinsurer. Arch Re U.S. can pay approximately $103.8 million to Arch-U.S. during the remainder of 2018 , subject to the approval of the Commissioner of the Delaware Department of Insurance.
For the nine months ended September 30, 2018 , Arch-U.S. received $150.0 million of dividends from Arch U.S. MI
Holdings Inc., a subsidiary of Arch-U.S., which received $400.0 million of dividends from United Guaranty Residential Insurance Company (“UGRIC”) and other UGC companies. Arch U.S. MI Holdings Inc. used $250.0 million of such proceeds to pay down its revolving credit agreement borrowings. UGRIC has no remaining ordinary dividend capacity for the remainder of 2018 .
We expect that our liquidity needs, including our anticipated (re)insurance obligations and operating and capital expenditure needs, for the next twelve months, at a minimum, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities.
Cash Flows
The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment ( i.e. , Watford Re). See note 10, “Variable Interest Entities and Noncontrolling Interests,” for cash flows related to Watford Re.
Nine Months Ended
September 30,
2018
2017
Total cash provided by (used for):


Operating activities
$
947,656

$
839,783

Investing activities
(181,774
)
(485,866
)
Financing activities
(713,511
)
(348,337
)
Effects of exchange rate changes on foreign currency cash
(9,867
)
15,599

Increase (decrease) in cash and restricted cash
$
42,504

$
21,179

Cash provided by operating activities for the nine months ended September 30, 2018 reflected a higher level of premiums collected than in the 2017 period and an income tax refund, partially offset by a retroactive reinsurance transaction with a third party reinsurer, while the 2017 period reflected higher purchases of tax and loss bonds.
Cash used for investing activities for the nine months ended September 30, 2018 was lower than in the 2017 period, primarily reflecting the sale of short term investments to fund the financing activities noted below. In addition, activity for the 2018 period reflected higher net purchases of fixed maturity investments than in the 2017 period.
Cash used for financing activities for the nine months ended September 30, 2018 was higher than in the 2017 period, and reflected $250.0 million of paydowns on our revolving credit agreement borrowings, $184.5 million of repurchases under our share repurchase program and $92.6 million related to redemption of our Series C preferred shares in January 2018.

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2018 THIRD QUARTER FORM 10-Q


CAPITAL RESOURCES

This section does not include information specific to Watford Re. We do not guarantee or provide credit support for Watford Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.
The following table provides an analysis of our capital structure:
(U.S. dollars in thousands, except
share data)
Sep 30,
2018
Dec 31,
2017
Debt:
Senior notes, due May 2034
$
297,125

$
297,053

Arch-U.S. senior notes, due Nov 2043 (1)
494,697

494,621

Arch Finance senior notes, due Dec 2026 (1)
496,319

496,043

Arch Finance senior notes, due Dec 2046 (1)
445,223

445,167

Revolving credit agreement borrowings due Oct 2021 (2)
125,000

375,000

Total
$
1,858,364

$
2,107,884

Shareholders’ equity available to Arch:
Series C non-cumulative preferred shares (3)
$

$
92,555

Series E non-cumulative preferred shares
450,000

450,000

Series F non-cumulative preferred shares
330,000

330,000

Common shareholders’ equity
8,575,148

8,324,047

Total
$
9,355,148

$
9,196,602

Total capital available to Arch
$
11,213,512

$
11,304,486

Senior notes to total capital (%)
15.5

15.3

Revolving credit agreement borrowings to total capital (%)
1.1

3.3

Debt to total capital (%)
16.6

18.6

Preferred to total capital (%)
7.0

7.7

Debt and preferred to total capital (%)
23.5

26.4

(1)
Fully and unconditionally guaranteed by Arch Capital.
(2)
$500 million unsecured facility for revolving loans and letters of credit.
(3)
Redeemed on January 2, 2018.
Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Capital Finance LLC (“Arch Finance”) is a wholly owned subsidiary of Arch U.S. MI Holdings Inc. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries, or affiliates in the case of Arch Finance, and on their ability to distribute the earnings, loans or other payments from such subsidiaries or affiliates to Arch Capital, Arch-U.S. and Arch Finance, respectively.
In addition, Arch MI U.S. is required to maintain compliance with the GSEs requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of
each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of September 30, 2018 with an estimated PMIER sufficiency ratio of 151% , compared to 129% at December 31, 2017.
Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business. The reinsurance agreements between our U.S.-based property casualty insurance and reinsurance subsidiaries and Arch Re Bermuda were canceled on a cutoff basis as of January 1, 2018. As a result, the level of subject business ceded to Arch Re Bermuda was substantially lower for the nine months ended September 30, 2018 than in prior periods.
SHARE REPURCHASE PROGRAM

The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. For the nine months ended September 30, 2018 , Arch Capital repurchased 6.9 million shares under the share repurchase program with an aggregate purchase price of $184.5 million . Since the inception of the share repurchase program through September 30, 2018 , Arch Capital has repurchased 382.6 million common shares for an aggregate purchase price of $3.87 billion . At September 30, 2018 , approximately $262.0 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.
The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.
CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events and severe economic events. Catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural

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disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.
Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of total shareholders’ equity available to Arch. We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of October 1, 2018 , our modeled peak zone catastrophe exposure was a windstorm affecting the Northeastern U.S., with a net probable maximum pre-tax loss of $393 million , followed by windstorms affecting Florida Tri-County and the Gulf of Mexico regions with net probable maximum pre-tax losses of $382 million and $326 million , respectively. Our exposures to other perils, such as U.S. earthquake and international events, were less than the exposures arising from U.S. windstorms and hurricanes. As of October 1, 2018 , our modeled peak zone earthquake exposure ( San Francisco earthquake ) represented approximately 72% of our peak zone catastrophe exposure, and our modeled peak zone international exposure ( Japan earthquake ) was substantially less than both our peak zone windstorm and earthquake exposures.
Effective July 1, 2018, our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $275 million in excess of a $75 million retention per occurrence. Such amounts compare to $200 million in excess of a $150 million retention per occurrence prior to July 1, 2018.
We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions.  The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.
Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of October 1, 2018 , our modeled RDS loss was less than 12% of tangible shareholders’ equity available to Arch.
Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and after income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our total shareholders' equity or tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Factors—Risks Relating to Our Industry” and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events” in our 2017 Form 10-K.
OFF-BALANCE SHEET ARRANGEMENTS

Off-balance sheet arrangements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 2017 Form 10-K.
MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of September 30, 2018 . Market risk represents the risk of changes in the fair value of a financial instrument and is

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comprised of several components, including liquidity, basis and price risks. We have not included Watford Re in the following analyses as we do not guarantee or provide credit support for Watford Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.
An analysis of material changes in market risk exposures at September 30, 2018 that affect the quantitative and qualitative disclosures presented in our 2017 Form 10-K (see section captioned “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Market Sensitive Instruments and Risk Management”) were as follows:
Investment Market Risk
Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments which invest in fixed income securities and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our interest rate sensitive securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.
The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our fixed income securities:
(U.S. dollars in
billions)
Interest Rate Shift in Basis Points
-100
-50
+50
+100
Sep 30, 2018





Total fair value
$
19.07

$
18.79

$
18.53

$
18.25

$
18.00

Change from base
2.9
%
1.4
%
(1.5
)%
(2.9
)%
Change in unrealized value
$
0.54

$
0.26

$
(0.28
)
$
(0.54
)
Dec 31, 2017
Total fair value
$
19.11

$
18.85

$
18.59

$
18.33

$
18.09

Change from base
2.8
%
1.4
%
(1.4
)%
(2.7
)%
Change in unrealized value
$
0.52

$
0.26

$
(0.26
)
$
(0.50
)
In addition, we consider the effect of credit spread movements on the market value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments and investment funds accounted for using the equity method which
invest in fixed income securities and the corresponding change in unrealized appreciation. As credit spreads widen, the fair value of our fixed income securities falls, and the converse is also true.
The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on our fixed income securities:
(U.S. dollars in
billions)
Credit Spread Shift in Percentage Points
-100
-50
+50
+100
Sep 30, 2018





Total fair value
$
18.87

$
18.70

$
18.53

$
18.37

$
18.20

Change from base
1.8
%
0.9
%
(0.9
)%
(1.8
)%
Change in unrealized value
$
0.33

$
0.17

$
(0.17
)
$
(0.33
)
Dec 31, 2017
Total fair value
$
18.96

$
18.77

$
18.59

$
18.40

$
18.22

Change from base
2.0
%
1.0
%
(1.0
)%
(2.0
)%
Change in unrealized value
$
0.37

$
0.19

$
(0.19
)
$
(0.37
)
Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR attempts to take into account a broad cross-section of risks facing a portfolio by utilizing relevant securities volatility data skewed towards the most recent months and quarters. VaR measures the amount of a portfolio at risk for outcomes 1.65 standard deviations from the mean based on normal market conditions over a one year time horizon and is expressed as a percentage of the portfolio’s initial value. In other words, 95% of the time, should the risks taken into account in the VaR model perform per their historical tendencies, the portfolio’s loss in any one year period is expected to be less than or equal to the calculated VaR, stated as a percentage of the measured portfolio’s initial value. As of September 30, 2018 , our portfolio’s VaR was estimated to be 2.91% compared to an estimated 3.10% at December 31, 2017 .
Equity Securities. At September 30, 2018 and December 31, 2017 , the fair value of our investments in equity securities totaled $473.1 million and $576.0 million , respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $47.3 million and $57.6 million at September 30, 2018 and December 31, 2017 , respectively, and would have decreased book value per share by approximately $0.12 and $0.14 , respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $47.3 million and $57.6 million at September 30, 2018 and December 31, 2017 , respectively, and would have increased book value per share by approximately $0.12 and $0.14 , respectively.

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Investment-Related Derivatives. At September 30, 2018 , the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $3.34 billion , compared to $2.44 billion at December 31, 2017 . If the underlying exposure of each investment-related derivative held at September 30, 2018 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $33.4 million , and a decrease in book value per share of approximately $0.08 per share, compared to $24.4 million and $0.06 per share, respectively, on investment-related derivatives held at December 31, 2017 . If the underlying exposure of each investment-related derivative held at September 30, 2018 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $33.4 million , and an increase in book value per share of approximately $0.08 per share, compared to $24.4 million and $0.06 per share, respectively, on investment-related derivatives held at December 31, 2017 . See note 8, “Derivative Instruments,” to our consolidated financial statements for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “Financial Condition—Investable Assets.”
Foreign Currency Exchange Risk
Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 8, “Derivative Instruments,” to our consolidated financial statements for additional information.
The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
(U.S. dollars in thousands, except
per share data)
September 30,
2018
December 31,
2017
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives
$
(325,607
)
$
401,966

Shareholders’ equity denominated in foreign currencies (1)
357,797

345,743

Net foreign currency forward contracts outstanding (2)
233,106

(123,732
)
Net exposures denominated in foreign currencies
$
265,296

$
623,977

Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:


Shareholders’ equity
$
(26,530
)
$
(62,398
)
Book value per share
$
(0.07
)
$
(0.15
)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:


Shareholders’ equity
$
26,530

$
62,398

Book value per share
$
0.07

$
0.15

(1)
Represents capital contributions held in the foreign currencies of our operating units.
(2)
Represents the net notional value of outstanding foreign currency forward contracts.
Although we generally attempt to match the currency of our projected liabilities with investments in the same currencies, from time to time we may elect to over or underweight one or more currencies, which could increase our exposure to foreign currency fluctuations and increase the volatility of our shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”
Effects of Inflation
We do not believe that inflation has had a material effect on our consolidated results of operations, except insofar as inflation may affect our reserves for losses and loss adjustment expenses and interest rates. The potential exists, after a catastrophe loss, for the development of inflationary pressures in a local economy. The anticipated effects of inflation on us are considered in our catastrophe loss models. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled.


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OTHER FINANCIAL INFORMATION

The consolidated financial statements as of September 30, 2018 and for the three month and nine month periods ended September 30, 2018 and 2017 have been reviewed by PricewaterhouseCoopers LLP, the registrant's independent public accountants, whose report is included as an exhibit to this filing. The report of PricewaterhouseCoopers LLP states that they did not audit and they do not express an opinion on that unaudited financial information. Accordingly, the degree of reliance on their report on such information should be restricted in light of the limited nature of the review procedures applied. PricewaterhouseCoopers LLP is not subject to the liability provisions of Section 11 of the Securities Act of 1933 for their report on the unaudited financial information because that report is not a "report" or a "part" of the registration statement prepared or certified by PricewaterhouseCoopers LLP within the meaning of Sections 7 and 11 of the Securities Act of 1933.

ITEM 3. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
Reference is made to the information appearing above under the subheading “Market Sensitive Instruments and Risk Management” under the caption “Management’s Discussion and Analysis of Financial Condition and Results of Operations,” which information is hereby incorporated by reference.

ITEM 4. CONTROLS AND PROCEDURES
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-Q, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation of the effectiveness of disclosure controls and procedures pursuant to applicable Exchange Act Rules as of the end of the period covered by this report. Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that the disclosure controls and procedures were effective as of the end of and during the period covered by this report with respect to information being recorded, processed, summarized and reported within time periods specified in the SEC’s rules and forms and with respect to timely communication to them and other members of management responsible for preparing periodic reports of all material information required to be disclosed in this report as it relates to Arch Capital and its consolidated subsidiaries.
We continue to enhance our operating procedures and internal controls to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision-making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people. The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate because of changes in conditions, or the degree of compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that the disclosure controls and procedures are met.
Changes in Internal Controls Over Financial Reporting
There have been no changes in internal control over financial reporting that occurred during the quarter ended September 30, 2018 that have materially affected, or are reasonably likely to materially affect, internal control over financial reporting.

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PART II.  OTHER INFORMATION

ITEM 1. LEGAL PROCEEDINGS
We, in common with the insurance industry in general, are subject to litigation and arbitration in the normal course of our business. As of September 30, 2018 , we were not a party to any litigation or arbitration which is expected by management to have a material adverse effect on our results of operations and financial condition and liquidity.

ITEM 1A. RISK FACTORS
There were no material changes from the risk factors previously disclosed in our Annual Report on Form 10-K for the year ended December 31, 2017.

ITEM 2. UNREGISTERED SALES OF EQUITY SECURITIES AND USE OF PROCEEDS
The following table summarizes our purchases of common shares for the 2018 third quarter :
Issuer Purchases of Equity Securities
Period
Total Number of Shares
Purchased (1)
Average Price Paid per Share
Total Number of Shares Purchased as Part of
Publicly Announced
Plans or Programs
Approximate Dollar
Value of Shares that
May Yet be Purchased
Under the Plan or
Programs (2)
7/1/2018 - 7/31/2018
429,120

$
26.59

413,671

$
261,971

8/1/2018 - 8/31/2018
62,129

30.30


$
261,971

9/1/2018 - 9/30/2018
10,843

30.27


$
261,971

Total
502,092

$
27.13

413,671

(1)
Represents repurchases by Arch Capital of shares, from time to time, from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair value, as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)
Remaining amount available at September 30, 2018 under Arch Capital’s share repurchase authorization, under which repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.


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ITEM 5. OTHER INFORMATION
In accordance with Section 10a(i)(2) of the Securities Exchange Act of 1934, as amended, we are responsible for disclosing non-audit services to be provided by our independent auditor, PricewaterhouseCoopers LLP, which are approved by the Audit Committee of our board of directors. During the 2018 third quarter , the Audit Committee approved engagements of PricewaterhouseCoopers LLP for permitted non-audit services, which consisted of tax consulting services, tax compliance services and other accounting consulting services.
Disclosure of Certain Activities Under Section 13(r) of the Securities Exchange Act of 1934

Section 13(r) of the Securities Exchange Act of 1934, as amended, requires an issuer to disclose in its annual or quarterly reports whether it or an affiliate knowingly engaged in certain activities described in that section, including certain activities related to Iran during the period covered by the report.
On January 16, 2016, the Office of Foreign Assets Control of the U.S. Department of the Treasury (“OFAC”) adopted General License H which authorized non-U.S. entities that are owned or controlled by a U.S. person to engage in certain activities with Iran so long as they complied with certain specific requirements set forth therein.
Certain of our non-U.S. subsidiaries issue global marine policies that provide coverage for vessels navigating into and out of ports worldwide. In light of European Union and U.S. modifications to Iran sanctions in 2016, including the issuance of General License H, and consistent with General License H, we have been notified that certain of our policyholders shipped cargo to and from Iran, and that such cargo may include transporting crude oil from Iran to another country. Since these policies insure multiple voyages and fleets containing multiple ships, we are unable to attribute gross revenues and net profits from such marine policies to these activities involving Iran. On May 8, 2018, the President announced that the U.S. will cease participation in the Joint Comprehensive Plan of Action and will begin reimposing the U.S. nuclear-related sanctions over a six month period. Since May 8, 2018, we have not entered into any new transactions that had previously been permitted under General License H. On June 27, 2018, OFAC revoked General License H and added Section 560.537 to the Iranian Transactions and Sanctions Regulations, which authorizes all transactions and activities that are ordinarily incident and necessary to the winding down of activities previously approved under General License H through November 4, 2018. Our non-U.S. subsidiaries completed their General License H wind down activities by November 4, 2018, in accordance with all applicable laws and regulations.

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ITEM 6. EXHIBITS
Exhibit No.
Description
15
31.1
31.2
32.1
32.2
101
The following financial information from Arch Capital Group Ltd.’s Quarterly Report for the quarter ended September 30, 2018 formatted in XBRL: (i) Consolidated Balance Sheets at September 30, 2018 and December 31, 2017; (ii) Consolidated Statements of Income for the three and nine month periods ended September 30, 2018 and 2017; (iii) Consolidated Statements of Comprehensive Income for the three and nine month periods ended September 30, 2018 and 2017; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the three and nine month periods ended September 30, 2018 and 2017; (v) Consolidated Statements of Cash Flows for the nine month periods ended September 30, 2018 and 2017; and (vi) Notes to Consolidated Financial Statements.

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SIGNATURES
Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned thereunto duly authorized.
ARCH CAPITAL GROUP LTD.
(REGISTRANT)
/s/ Marc Grandisson
Date: November 9, 2018
Marc Grandisson
President and Chief Executive Officer (Principal Executive Officer)
/s/ François Morin
Date: November 9, 2018
François Morin
Executive Vice President, Chief Financial Officer and Treasurer (Principal Financial and Accounting Officer)

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TABLE OF CONTENTS