Try our mobile app

Published: 2021-07-28 00:00:00 ET
<<<  go to ACGL company page
EX-99.2 3 ex-992supplement63021.htm EX-99.2 Document

EXHIBIT 99.2
 
banner1a21.jpg
archlogorgbsolida37.jpg
Arch Capital Group Ltd.
Waterloo House, Ground Floor
100 Pitts Bay Road
Pembroke HM 08 Bermuda
 

Financial Supplement

Financial Information
as of June 30, 2021
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch Capital”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only.  It should be read in conjunction with documents filed by Arch Capital with the U.S. Securities and Exchange Commission, including the most recent Annual Report on Form 10-K and the Quarterly Reports on Form 10-Q.  Please refer to the Company’s website at www.archcapgroup.com for further information describing Arch Capital.


Contacts
Arch Capital Group Ltd.Investor Relations
François Morin: (441) 278-9250Donald Watson: (914) 872-3616; dwatson@archgroup.com



Arch Capital Group Ltd. and Subsidiaries
Table of Contents

  Page
   
I.Financial Highlights
  
II.Consolidated Financial Statements
 a.Consolidated Statements of Income
 b.Consolidated Balance Sheets
 c.Consolidated Statements of Changes in Shareholders’ Equity
 d.Consolidated Statements of Cash Flows
  
III.Segment Information
 a.Overview
 b.Consolidated Results
 c.Insurance Segment Results
 d.Reinsurance Segment Results
e.Mortgage Segment Results
f.Consolidated Results Excluding ‘Other’ Segment
g.Selected Information on Losses and Loss Adjustment Expenses
  
IV.Investment Information
 a.Investable Asset Summary and Investment Portfolio Metrics
b.Composition of Net Investment Income, Yield and Total Return
 c.Composition of Fixed Maturities
d.Credit Quality Distribution and Maturity Profile
e.Analysis of Corporate Exposures
 f.Structured Securities
  
V.Other
 a.Comments on Regulation G
 b.Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
c.Operating Income and Effective Tax Rate Calculations
 d.Capital Structure and Share Repurchase Activity

1

Arch Capital Group Ltd. and Subsidiaries
Basis of Presentation

Basis of Presentation

All financial information contained herein is unaudited, however, certain information relating to the consolidated balance sheet at December 31, 2020 is derived from or agrees to audited financial information. During the 2021 first quarter, the Company changed its presentation of ‘income (loss) from operating affiliates’ on its consolidated statements of income for all periods presented to reclass such item from ‘other income (loss)’. The Company also changed its presentation of ‘investment in operating affiliates’ on its consolidated balance sheet for all periods presented to reclass such item from ‘other assets’. Unless otherwise noted, all data is in thousands, except for share and per share amounts and ratio information.

In March 2014, the Company invested $100.0 million to acquire common equity and a warrant to purchase additional common equity of Watford Holdings Ltd. In accordance with GAAP, the Company consolidates the results of Watford Holdings Ltd. (“Watford”) in its financial statements, although it only owned approximately 10% of Watford’s outstanding common equity at June 30, 2021. Watford is considered a variable interest entity and the Company concluded that it is the primary beneficiary of Watford. As such, 100% of the results of Watford are included in the Company’s consolidated financial statements. The portion of Watford’s earnings owned by third parties is recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ In addition, the Company reflects Watford’s redeemable preference shares in the mezzanine section of the Company’s consolidated balance sheets as ‘redeemable noncontrolling interests’ because they have redemption features that are not solely within the control of Watford.

Cautionary Note Regarding Forward-Looking Statements

The Private Securities Litigation Reform Act of 1995 provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of Arch Capital and its subsidiaries may include forward-looking statements, which reflect the Company’s 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 release are forward-looking statements.
 
Forward-looking statements can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” or their negative or variations or similar terminology. Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. A non-exclusive list of the important factors that could cause actual results to differ materially from those in such forward-looking statements includes the following: adverse general economic and market conditions; increased competition; pricing and policy term trends; fluctuations in the actions of rating agencies and the Company’s ability to maintain and improve the Company’s ratings; investment performance; the loss of key personnel; the adequacy of the Company’s loss reserves, severity and/or frequency of losses, greater than expected loss ratios and adverse development on claim and/or claim expense liabilities; greater frequency or severity of unpredictable natural and man-made catastrophic events; including pandemics such as COVID-19; the impact of acts of terrorism and acts of war; changes in regulations and/or tax laws in the United States or elsewhere; the Company’s ability to successfully integrate, establish and maintain operating procedures as well as integrate the businesses we have acquired or may acquire into the existing operations; changes in accounting principles or policies; material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements; availability and cost to the Company of reinsurance to manage gross and net exposures; the failure of others to meet their obligations to the Company; changes in the method for determining the London Inter-bank Offered Rate (“LIBOR”) and the potential replacement of LIBOR and other factors identified in the Company’s filings with the U.S. Securities and Exchange Commission.
 
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. All subsequent written and oral forward-looking statements attributable to the Company or persons acting on the Company’s behalf are expressly qualified in their entirety by these cautionary statements. The Company undertakes no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.
2

Arch Capital Group Ltd. and Subsidiaries
Financial Highlights
The following table presents financial highlights (1):
(U.S. Dollars in thousands, except share data)Three Months EndedSix Months Ended
June 30,June 30,
20212020Change20212020Change
Underwriting results:
Gross premiums written$3,117,505 $2,206,410 41.3 %$6,394,798 $4,904,947 30.4 %
Net premiums written2,224,133 1,562,455 42.3 %4,553,279 3,513,001 29.6 %
Net premiums earned1,936,672 1,533,819 26.3 %3,737,363 3,138,224 19.1 %
Underwriting income (loss) (2)395,387 (13,410)n/m594,384 146,650 305.3 %
Loss ratio52.6 %73.4 %(20.8)56.3 %67.9 %(11.6)
Acquisition expense ratio15.5 %15.1 %0.4 15.4 %14.6 %0.8 
Other operating expense ratio11.7 %12.7 %(1.0)12.7 %13.3 %(0.6)
Combined ratio79.8 %101.2 %(21.4)84.4 %95.8 %(11.4)
Net investment income$89,430 $101,031 (11.5)%$168,159 $214,059 (21.4)%
Per diluted share$0.22 $0.25 (12.0)%$0.41 $0.52 (21.2)%
Net income available to Arch common shareholders$663,820 $288,418 130.2 %$1,091,573 $422,132 158.6 %
Per diluted share$1.63 $0.71 129.6 %$2.68 $1.03 160.2 %
After-tax operating income available to Arch common shareholders (2)$407,216 $16,614 2,351.0 %$646,985 $206,370 213.5 %
Per diluted share$1.00 $0.04 2,400.0 %$1.59 $0.50 218.0 %
Comprehensive income (loss) available to Arch$699,705 $626,366 11.7 %$854,794 $580,336 47.3 %
Net cash provided by operating activities$809,790 $648,427 24.9 %$1,565,718 $1,234,383 26.8 %
Weighted average common shares and common share equivalents outstanding — diluted406,485,994 408,119,681 (0.4)%407,687,680 411,005,591 (0.8)%
Financial measures:      
Change in book value per common share during period4.8 %5.8 %(1.0)5.6 %4.5 %1.1 
Annualized return on average common equity21.2 %10.6 %10.6 17.4 %7.7 %9.7 
Annualized operating return on average common equity (2)13.0 %0.6 %12.4 10.3 %3.8 %6.5 
Total return on investments (3)1.58 %3.72 %-214 bps1.39 %2.82 %-143 bps
 
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)See ‘Comments on Regulation G’ for a further discussion of consolidated underwriting income or loss, after-tax operating income or loss available to Arch common shareholders and annualized operating return on average common equity.
(3)Total return on investments includes net investment income, equity in net income (loss) of investment funds accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.
3

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Income
(U.S. Dollars in thousands, except share data)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Revenues       
Net premiums earned$2,120,909 $1,948,422 $1,811,045 $1,771,092 $1,665,354 $4,069,331 $3,409,798 
Net investment income111,613 98,856 114,458 128,512 131,485 210,469 276,638 
Net realized gains (losses)202,907 142,461 353,333 280,499 556,588 345,368 189,628 
Other underwriting income5,529 6,110 7,852 5,413 6,667 11,639 13,519 
Equity in net income (loss) of investment funds accounted for using the equity method122,186 71,686 89,286 126,735 (65,119)193,872 (69,328)
Other income (loss)6,852 (1,741)(36)— 33 5,111 65 
Total revenues2,569,996 2,265,794 2,375,938 2,312,251 2,295,008 4,835,790 3,820,320 
Expenses
Losses and loss adjustment expenses(1,159,831)(1,203,100)(1,127,385)(1,216,273)(1,230,522)(2,362,931)(2,345,941)
Acquisition expenses(335,143)(304,481)(254,828)(247,942)(254,789)(639,624)(502,072)
Other operating expenses(244,943)(261,033)(215,697)(215,686)(209,249)(505,976)(443,793)
Corporate expenses(15,951)(25,384)(25,335)(17,937)(17,920)(41,335)(38,716)
Amortization of intangible assets(15,286)(14,402)(19,196)(16,715)(16,489)(29,688)(33,120)
Interest expense(35,700)(38,346)(38,419)(41,343)(31,139)(74,046)(63,694)
Net foreign exchange gains (losses)(17,775)20,063 (72,209)(44,885)(39,211)2,288 33,460 
Total expenses(1,824,629)(1,826,683)(1,753,069)(1,800,781)(1,799,319)(3,651,312)(3,393,876)
Income (loss) before income taxes and income (loss) from operating affiliates745,367 439,111 622,869 511,470 495,689 1,184,478 426,444 
Income tax expense(51,179)(38,860)(34,059)(23,707)(26,127)(90,039)(54,072)
Income (loss) from operating affiliates24,476 75,457 10,504 919 (3,173)99,933 5,343 
Net income (loss)718,664 475,708 599,314 488,682 466,389 1,194,372 377,715 
Net (income) loss attributable to noncontrolling interests(43,178)(37,552)(55,770)(69,643)(167,568)(80,730)65,223 
Net income (loss) attributable to Arch675,486 438,156 543,544 419,039 298,821 1,113,642 442,938 
Preferred dividends(11,666)(10,403)(10,403)(10,403)(10,403)(22,069)(20,806)
Net income (loss) available to Arch common shareholders$663,820 $427,753 $533,141 $408,636 $288,418 $1,091,573 $422,132 
Comprehensive income (loss) available to Arch$699,705 $155,089 $646,082 $455,907 $626,366 $854,794 $580,336 
Net income (loss) per common share and common share equivalent
Basic$1.67 $1.07 $1.32 $1.01 $0.72 $2.73 $1.05 
Diluted$1.63 $1.05 $1.30 $1.00 $0.71 $2.68 $1.03 
Weighted average common shares and common share equivalents outstanding
Basic397,743,402 400,807,895 403,005,335 402,850,485 402,503,687 399,267,183 403,197,924 
Diluted406,485,994 409,223,253 410,281,852 409,194,657 408,119,681 407,687,680 411,005,591 



4

Arch Capital Group Ltd. and Subsidiaries
Consolidated Balance Sheets

(U.S. Dollars in thousands, except share data)June 30,March 31,December 31,September 30,June 30,
20212021202020202020
Assets     
Investments:     
Fixed maturities available for sale, at fair value$18,073,779 $18,723,035 $18,717,825 $18,452,888 $17,207,731 
Short-term investments available for sale, at fair value2,248,613 1,269,631 1,924,922 2,039,097 2,277,866 
Collateral received under securities lending, at fair value172,116 143,894 301,096 64,259 473,790 
Equity securities, at fair value1,693,552 1,532,906 1,444,830 1,502,015 1,257,317 
Other investments4,571,497 4,435,354 4,324,796 3,749,575 3,520,771 
Investments accounted for using the equity method2,539,124 2,256,327 2,047,889 1,883,702 1,727,302 
Total investments29,298,681 28,361,147 28,761,358 27,691,536 26,464,777 
Cash1,234,059 941,951 906,448 976,398 854,259 
Accrued investment income96,546 101,108 103,299 106,940 102,064 
Securities pledged under securities lending, at fair value168,548 140,949 294,912 62,749 464,503 
Investment in operating affiliates731,810 739,783 129,291 115,411 111,175 
Premiums receivable2,866,578 2,618,175 2,064,586 2,225,311 2,203,753 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses4,314,515 4,041,076 4,500,802 4,621,937 4,363,507 
Contractholder receivables1,882,948 1,919,655 1,986,924 2,185,614 2,179,124 
Ceded unearned premiums1,541,093 1,406,489 1,234,075 1,450,200 1,364,603 
Deferred acquisition costs1,013,657 919,740 790,708 750,901 714,531 
Receivable for securities sold309,234 199,424 92,743 158,674 167,281 
Goodwill and intangible assets667,153 679,509 692,863 713,777 688,490 
Other assets2,357,064 2,135,261 1,724,288 1,656,587 1,521,581 
Total assets$46,481,886 $44,204,267 $43,282,297 $42,716,035 $41,199,648 
Liabilities     
Reserve for losses and loss adjustment expenses$17,196,648 $16,443,952 $16,513,929 $15,900,526 $15,044,874 
Unearned premiums6,011,369 5,549,127 4,838,965 5,062,052 4,827,445 
Reinsurance balances payable1,079,106 919,125 683,263 873,067 793,467 
Contractholder payables1,887,418 1,925,508 1,995,562 2,191,515 2,185,414 
Collateral held for insured obligations235,618 222,245 215,581 221,957 208,449 
Senior notes2,861,728 2,861,417 2,861,113 2,860,811 2,860,733 
Revolving credit agreement borrowings155,687 155,687 155,687 210,687 335,587 
Securities lending payable172,109 143,886 301,089 64,251 473,783 
Payable for securities purchased586,881 386,453 218,779 382,236 275,257 
Other liabilities1,332,843 1,565,861 1,510,888 1,681,181 1,467,739 
Total liabilities31,519,407 30,173,261 29,294,856 29,448,283 28,472,748 
Redeemable noncontrolling interests57,533 57,670 58,548 57,835 55,986 
Shareholders’ equity     
Non-cumulative preferred shares1,280,000 780,000 780,000 780,000 780,000 
Common shares647 645 643 642 642 
Additional paid-in capital2,028,919 2,014,741 1,977,794 1,950,782 1,935,514 
Retained earnings13,454,036 12,790,216 12,362,463 11,829,322 11,420,686 
Accumulated other comprehensive income (loss), net of deferred income tax230,048 205,827 488,895 386,357 349,488 
Common shares held in treasury, at cost(3,007,578)(2,694,957)(2,503,909)(2,495,106)(2,494,505)
Total shareholders’ equity available to Arch13,986,072 13,096,472 13,105,886 12,451,997 11,991,825 
Non-redeemable noncontrolling interests918,874 876,864 823,007 757,920 679,089 
Total shareholders’ equity14,904,946 13,973,336 13,928,893 13,209,917 12,670,914 
Total liabilities, noncontrolling interests and shareholders’ equity$46,481,886 $44,204,267 $43,282,297 $42,716,035 $41,199,648 
Common shares and common share equivalents outstanding, net of treasury shares396,771,251 403,313,377 406,720,642 406,018,958 405,970,251 
Book value per common share (1)$32.02 $30.54 $30.31 $28.75 $27.62 
(1) Excludes the effects of stock options and restricted stock units outstanding.
5

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Changes in Shareholders’ Equity

(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Non-cumulative preferred shares       
Balance at beginning of period$780,000 $780,000 $780,000 $780,000 $780,000 $780,000 $780,000 
Preferred shares issued500,000 — — — — 500,000 — 
Balance at beginning and end of period$1,280,000 $780,000 $780,000 $780,000 $780,000 $1,280,000 $780,000 
Common shares
Balance at beginning of period645 643 642 642 642 643 638 
Common shares issued, net— — 
Balance at end of period647 645 643 642 642 647 642 
Additional paid-in capital
Balance at beginning of period2,014,741 1,977,794 1,950,782 1,935,514 1,921,487 1,977,794 1,889,683 
Issue costs on preferred shares(14,179)— — — — (14,179)— 
Amortization of share-based compensation16,490 40,573 14,663 14,662 13,160 57,063 41,210 
All other11,867 (3,626)12,349 606 867 8,241 4,621 
Balance at end of period2,028,919 2,014,741 1,977,794 1,950,782 1,935,514 2,028,919 1,935,514 
Retained earnings
Balance at beginning of period12,790,216 12,362,463 11,829,322 11,420,686 11,132,268 12,362,463 11,021,006 
Cumulative effect of an accounting change (1)— — — — — — (22,452)
Balance at beginning of period, as adjusted12,790,216 12,362,463 11,829,322 11,420,686 11,132,268 12,362,463 10,998,554 
Net income718,664 475,708 599,314 488,682 466,389 1,194,372 377,715 
Amounts attributable to noncontrolling interests(43,178)(37,552)(55,770)(69,643)(167,568)(80,730)65,223 
Preferred share dividends(11,666)(10,403)(10,403)(10,403)(10,403)(22,069)(20,806)
Balance at end of period13,454,036 12,790,216 12,362,463 11,829,322 11,420,686 13,454,036 11,420,686 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period205,827 488,895 386,357 349,488 21,944 488,895 212,091 
Change in unrealized appreciation (decline) in value of available-for-sale investments17,991 (254,584)63,008 19,800 305,338 (236,593)160,001 
Change in foreign currency translation adjustments6,230 (28,484)39,530 17,069 22,206 (22,254)(22,604)
Balance at end of period230,048 205,827 488,895 386,357 349,488 230,048 349,488 
Common shares held in treasury, at cost
Balance at beginning of period(2,694,957)(2,503,909)(2,495,106)(2,494,505)(2,489,097)(2,503,909)(2,406,047)
Shares repurchased for treasury(312,621)(191,048)(8,803)(601)(5,408)(503,669)(88,458)
Balance at end of period(3,007,578)(2,694,957)(2,503,909)(2,495,106)(2,494,505)(3,007,578)(2,494,505)
Total shareholders’ equity available to Arch13,986,072 13,096,472 13,105,886 12,451,997 11,991,825 13,986,072 11,991,825 
Non-redeemable noncontrolling interests918,874 876,864 823,007 757,920 679,089 918,874 679,089 
Total shareholders’ equity$14,904,946 $13,973,336 $13,928,893 $13,209,917 $12,670,914 $14,904,946 $12,670,914 

(1) Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326).”
6

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Cash Flows
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
June 30,March 31,December 31,September 30,June 30,June 30,June 30,
2021202120202020202020212020
Operating Activities       
Net income (loss)$718,664 $475,708 $599,314 $488,682 $466,389 $1,194,372 $377,715 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses(218,042)(161,007)(366,942)(282,907)(557,740)(379,049)(194,776)
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss(45,089)(135,939)(78,257)(95,078)96,350 (181,028)125,384 
Amortization of intangible assets15,286 14,402 19,196 16,715 16,489 29,688 33,120 
Share-based compensation16,752 40,812 14,829 14,521 13,363 57,564 41,912 
Changes in:
Reserve for losses and loss adjustment expenses, net388,352 560,153 445,758 509,623 652,389 948,505 1,158,446 
Unearned premiums, net278,615 560,035 (53,030)103,052 2,957 838,650 395,759 
Premiums receivable(173,141)(608,250)143,123 1,872 (45,181)(781,391)(463,638)
Deferred acquisition costs(88,192)(126,701)(36,710)(14,801)(17,302)(214,893)(92,437)
Reinsurance balances payable91,255 240,206 (139,670)73,459 52,354 331,461 132,161 
Other items, net(134,733)(96,574)7,444 194,732 31,058 (231,307)(192,066)
Net cash provided by operating activities849,727 762,845 555,055 1,009,870 711,126 1,612,572 1,321,580 
Investing Activities       
Purchases of fixed maturity investments(12,023,416)(11,530,968)(5,714,394)(8,640,034)(13,444,854)(23,554,384)(25,410,849)
Purchases of equity securities(311,355)(309,419)(239,162)(330,699)(264,466)(620,774)(1,025,149)
Purchases of other investments(602,173)(430,961)(966,841)(340,194)(273,221)(1,033,134)(501,692)
Proceeds from sales of fixed maturity investments12,213,254 10,917,134 5,404,479 7,711,837 13,109,907 23,130,388 24,833,030 
Proceeds from sales of equity securities257,304 284,986 415,471 151,447 314,045 542,290 580,346 
Proceeds from sales, redemptions and maturities of other investments448,958 323,591 237,771 319,619 256,057 772,549 472,188 
Proceeds from redemptions and maturities of fixed maturity investments384,794 421,042 225,842 276,052 170,884 805,836 369,240 
Net settlements of derivative instruments(30,374)47,660 15,716 12,819 (45,017)17,286 150,471 
Net (purchases) sales of short-term investments(967,261)589,175 129,670 164,012 (1,311,586)(378,086)(1,323,363)
Change in cash collateral related to securities lending(826)— — 26,614 (405)(826)54,596 
Purchase of operating affiliate, net— (546,349)— — — (546,349)— 
Purchases of fixed assets(11,095)(12,490)(13,155)(9,030)(9,217)(23,585)(17,687)
Other41,701 (246,590)69,795 (140,671)(33,821)(204,889)8,679 
Net cash provided by (used for) investing activities(600,489)(493,189)(434,808)(798,228)(1,531,694)(1,093,678)(1,810,190)
Financing Activities       
Proceeds from issuance of preferred shares, net485,821 — — — — 485,821 — 
Purchases of common shares under share repurchase program(306,049)(179,266)(7,986)— — (485,315)(75,486)
Proceeds from common shares issued, net10,193 (10,008)11,532 (5,134)185 (9,661)
Proceeds from borrowings— — — 13,875 988,618 — 1,004,918 
Repayments of borrowings— — (55,000)(139,000)(165,000)— (165,000)
Change in cash collateral related to securities lending826 — — (26,614)405 826 (54,596)
Change in third party investment in non-redeemable noncontrolling interests— 15,971 — — — 15,971 (2,867)
Dividends paid to redeemable noncontrolling interests(959)(948)(1,404)(1,001)(1,359)(1,907)(2,540)
Other29,587 (1,948)18,449 57,891 (1,294)27,639 (2,625)
Preferred dividends paid(10,402)(10,403)(10,403)(10,403)(10,403)(20,805)(20,806)
Net cash provided by (used for) financing activities209,017 (186,602)(44,812)(105,247)805,833 22,415 671,337 
Effects of exchange rate changes on foreign currency cash and restricted cash(7,306)(6,084)28,136 15,895 8,981 (13,390)(21,742)
Increase (decrease) in cash and restricted cash450,949 76,970 103,571 122,290 (5,754)527,919 160,985 
Cash and restricted cash, beginning of period1,367,514 1,290,544 1,186,973 1,064,683 1,070,437 1,290,544 903,698 
Cash and restricted cash, end of period$1,818,463 $1,367,514 $1,290,544 $1,186,973 $1,064,683 $1,818,463 $1,064,683 
Income taxes paid (received)$133,997 $7,099 $56,126 $136,404 $3,023 $141,096 $10,410 
Interest paid$73,711 $988 $72,936 $3,141 $50,767 $74,699 $57,414 
Net cash provided by operating activities, excluding the ‘other’ segment$809,790 $755,928 $507,017 $963,654 $648,427 $1,565,718 $1,234,383 
7

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview


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’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 Chief Executive Officer of Arch Capital, the Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting 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 core underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income is not allocated to each underwriting segment.

The Company determined its reportable operating 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.

Insurance 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: 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 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.
8

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview

Reinsurance Segment
The reinsurance segment consists of the Company’s 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 of 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 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.
Mortgage Segment

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 Fannie Mae and Freddie Mac.

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 the Company’s non-cumulative preferred shares, net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, income or loss from operating affiliates and income taxes. Such amounts exclude the results of the ‘other’ segment.

Other Segment

Through June 30, 2021, the ‘other’ segment included the results of Watford. Pursuant to GAAP, Watford was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Watford. As such, the Company consolidated the results of Watford in its consolidated financial statements through June 30, 2021, although it only owned approximately 10% of Watford’s common equity. The portion of Watford’s earnings attributable to third party investors is recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ Management measures segment performance for the ‘other’ segment based on net income or loss.

9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
June 30, 2021
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,368,867 $1,358,020 $391,511 $3,117,505 $240,942 $3,286,291 
Premiums ceded(405,312)(433,288)(55,665)(893,372)(65,551)(886,767)
Net premiums written963,555 924,732 335,846 2,224,133 175,391 2,399,524 
Change in unearned premiums(98,128)(187,708)(1,625)(287,461)8,846 (278,615)
Net premiums earned865,427 737,024 334,221 1,936,672 184,237 2,120,909 
Other underwriting income (loss)— 1,053 4,148 5,201 328 5,529 
Losses and loss adjustment expenses(545,880)(463,823)(9,880)(1,019,583)(140,248)(1,159,831)
Acquisition expenses(136,852)(133,585)(30,117)(300,554)(34,589)(335,143)
Other operating expenses(133,342)(44,695)(48,312)(226,349)(18,594)(244,943)
Underwriting income (loss)$49,353 $95,974 $250,060 395,387 (8,866)386,521 
Net investment income89,430 22,183 111,613 
Net realized gains (losses)163,394 39,513 202,907 
Equity in net income (loss) of investment funds accounted for using the equity method122,186 — 122,186 
Other income (loss)6,852 — 6,852 
Corporate expenses (2)(17,175)— (17,175)
Transaction costs and other (2)1,444 (220)1,224 
Amortization of intangible assets(14,388)(898)(15,286)
Interest expense(31,439)(4,261)(35,700)
Net foreign exchange gains (losses)(17,892)117 (17,775)
Income (loss) before income taxes and income (loss) from operating affiliates697,799 47,568 745,367 
Income tax (expense) benefit(50,953)(226)(51,179)
Income (loss) from operating affiliates24,476 — 24,476 
Net income (loss)671,322 47,342 718,664 
Dividends attributable to redeemable noncontrolling interests(580)(981)(1,561)
Amounts attributable to nonredeemable noncontrolling interests— (41,617)(41,617)
Net income (loss) available to Arch670,742 4,744 675,486 
Preferred dividends(11,666)— (11,666)
Net income (loss) available to Arch common shareholders$659,076 $4,744 $663,820 
Underwriting Ratios
Loss ratio63.1 %62.9 %3.0 %52.6 %76.1 %54.7 %
Acquisition expense ratio15.8 %18.1 %9.0 %15.5 %18.8 %15.8 %
Other operating expense ratio15.4 %6.1 %14.5 %11.7 %10.1 %11.5 %
Combined ratio94.3 %87.1 %26.5 %79.8 %105.0 %82.0 %
Net premiums written to gross premiums written70.4 %68.1 %85.8 %71.3 %72.8 %73.0 %
Total investable assets$27,291,414 $2,932,043 $30,223,457 
Total assets42,171,541 4,310,345 46,481,886 
Total liabilities28,281,668 3,237,739 31,519,407 
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. 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.’ See ‘Comments on Regulation G’ for a further discussion of such items.
10

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
June 30, 2020
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,030,362 $807,065 $369,144 $2,206,410 $157,927 $2,317,692 
Premiums ceded(358,101)(241,971)(44,044)(643,955)(52,071)(649,381)
Net premiums written672,261 565,094 325,100 1,562,455 105,856 1,668,311 
Change in unearned premiums15,648 (84,897)40,613 (28,636)25,679 (2,957)
Net premiums earned687,909 480,197 365,713 1,533,819 131,535 1,665,354 
Other underwriting income (loss)— (651)6,450 5,799 868 6,667 
Losses and loss adjustment expenses(518,203)(383,433)(224,100)(1,125,736)(104,786)(1,230,522)
Acquisition expenses(107,671)(90,522)(34,052)(232,245)(22,544)(254,789)
Other operating expenses(118,757)(38,716)(37,574)(195,047)(14,202)(209,249)
Underwriting income (loss)$(56,722)$(33,125)$76,437 (13,410)(9,129)(22,539)
Net investment income101,031 30,454 131,485 
Net realized gains (losses)385,089 171,499 556,588 
Equity in net income (loss) of investment funds accounted for using the equity method(65,119)— (65,119)
Other income (loss)33 — 33 
Corporate expenses (2)(16,943)— (16,943)
Transaction costs and other (2)(977)— (977)
Amortization of intangible assets(16,489)— (16,489)
Interest expense(25,130)(6,009)(31,139)
Net foreign exchange gains (losses)(42,438)3,227 (39,211)
Income (loss) before income taxes and income (loss) from operating affiliates305,647 190,042 495,689 
Income tax (expense) benefit(26,529)402 (26,127)
Income (loss) from operating affiliates(3,173)— (3,173)
Net income (loss)275,945 190,444 466,389 
Dividends attributable to redeemable noncontrolling interests(934)(1,036)(1,970)
Amounts attributable to nonredeemable noncontrolling interests— (165,598)(165,598)
Net income (loss) available to Arch275,011 23,810 298,821 
Preferred dividends(10,403)— (10,403)
Net income (loss) available to Arch common shareholders$264,608 $23,810 $288,418 
Underwriting Ratios
Loss ratio75.3 %79.8 %61.3 %73.4 %79.7 %73.9 %
Acquisition expense ratio15.7 %18.9 %9.3 %15.1 %17.1 %15.3 %
Other operating expense ratio17.3 %8.1 %10.3 %12.7 %10.8 %12.6 %
Combined ratio108.3 %106.8 %80.9 %101.2 %107.6 %101.8 %
Net premiums written to gross premiums written65.2 %70.0 %88.1 %70.8 %67.0 %72.0 %
Total investable assets$24,531,194 $2,641,290 $27,172,484 
Total assets37,693,482 3,506,166 41,199,648 
Total liabilities25,787,697 2,685,051 28,472,748 
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. 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.’ See ‘Comments on Regulation G’ for a further discussion of such items.
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Six Months Ended
June 30, 2021
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$2,784,753 $2,829,080 $782,757 $6,394,798 $457,465 $6,683,497 
Premiums ceded(826,359)(905,236)(111,716)(1,841,519)(102,763)(1,775,516)
Net premiums written1,958,394 1,923,844 671,041 4,553,279 354,702 4,907,981 
Change in unearned premiums(273,493)(541,920)(503)(815,916)(22,734)(838,650)
Net premiums earned1,684,901 1,381,924 670,538 3,737,363 331,968 4,069,331 
Other underwriting income (loss)— (145)11,045 10,900 739 11,639 
Losses and loss adjustment expenses(1,081,627)(948,693)(73,569)(2,103,889)(259,042)(2,362,931)
Acquisition expenses(265,074)(251,610)(60,199)(576,883)(62,741)(639,624)
Other operating expenses(270,455)(105,209)(97,443)(473,107)(32,869)(505,976)
Underwriting income (loss)$67,745 $76,267 $450,372 594,384 (21,945)572,439 
Net investment income168,159 42,310 210,469 
Net realized gains (losses)264,730 80,638 345,368 
Equity in net income (loss) of investment funds accounted for using the equity method193,872 — 193,872 
Other income (loss)5,111 — 5,111 
Corporate expenses (2)(40,643)— (40,643)
Transaction costs and other (2)243 (935)(692)
Amortization of intangible assets(28,790)(898)(29,688)
Interest expense(65,636)(8,410)(74,046)
Net foreign exchange gains (losses)3,613 (1,325)2,288 
Income (loss) before income taxes and income (loss) from operating affiliates1,095,043 89,435 1,184,478 
Income tax (expense) benefit(89,805)(234)(90,039)
Income (loss) from operating affiliates99,933 — 99,933 
Net income (loss)1,105,171 89,201 1,194,372 
Dividends attributable to redeemable noncontrolling interests(463)(1,953)(2,416)
Amounts attributable to nonredeemable noncontrolling interests— (78,314)(78,314)
Net income (loss) available to Arch1,104,708 8,934 1,113,642 
Preferred dividends(22,069)— (22,069)
Net income (loss) available to Arch common shareholders$1,082,639 $8,934 $1,091,573 
Underwriting Ratios
Loss ratio64.2 %68.7 %11.0 %56.3 %78.0 %58.1 %
Acquisition expense ratio15.7 %18.2 %9.0 %15.4 %18.9 %15.7 %
Other operating expense ratio16.1 %7.6 %14.5 %12.7 %9.9 %12.4 %
Combined ratio96.0 %94.5 %34.5 %84.4 %106.8 %86.2 %
Net premiums written to gross premiums written70.3 %68.0 %85.7 %71.2 %77.5 %73.4 %
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. 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.’ See ‘Comments on Regulation G’ for a further discussion of such items.
12

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Six Months Ended
June 30, 2020
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$2,238,007 $1,929,584 $738,089 $4,904,947 $392,829 $5,150,522 
Premiums ceded(736,998)(567,310)(88,371)(1,391,946)(100,273)(1,344,965)
Net premiums written1,501,009 1,362,274 649,718 3,513,001 292,556 3,805,557 
Change in unearned premiums(97,181)(338,617)61,021 (374,777)(20,982)(395,759)
Net premiums earned1,403,828 1,023,657 710,739 3,138,224 271,574 3,409,798 
Other underwriting income (loss)— 1,469 11,049 12,518 1,001 13,519 
Losses and loss adjustment expenses(1,025,311)(813,502)(291,666)(2,130,479)(215,462)(2,345,941)
Acquisition expenses(215,008)(170,128)(72,588)(457,724)(44,348)(502,072)
Other operating expenses(248,406)(84,013)(83,470)(415,889)(27,904)(443,793)
Underwriting income (loss)$(84,897)$(42,517)$274,064 146,650 (15,139)131,511 
Net investment income214,059 62,579 276,638 
Net realized gains (losses)312,980 (123,352)189,628 
Equity in net income (loss) of investment funds accounted for using the equity method(69,328)— (69,328)
Other income (loss)65 — 65 
Corporate expenses (2)(35,144)— (35,144)
Transaction costs and other (2)(3,572)— (3,572)
Amortization of intangible assets(33,120)— (33,120)
Interest expense(50,375)(13,319)(63,694)
Net foreign exchange gains (losses)20,869 12,591 33,460 
Income (loss) before income taxes and income (loss) from operating affiliates503,084 (76,640)426,444 
Income tax (expense) benefit(54,474)402 (54,072)
Income (loss) from operating affiliates5,343 — 5,343 
Net income (loss)453,953 (76,238)377,715 
Dividends attributable to redeemable noncontrolling interests(991)(2,132)(3,123)
Amounts attributable to nonredeemable noncontrolling interests— 68,346 68,346 
Net income (loss) available to Arch452,962 (10,024)442,938 
Preferred dividends(20,806)— (20,806)
Net income (loss) available to Arch common shareholders$432,156 $(10,024)$422,132 
Underwriting Ratios
Loss ratio73.0 %79.5 %41.0 %67.9 %79.3 %68.8 %
Acquisition expense ratio15.3 %16.6 %10.2 %14.6 %16.3 %14.7 %
Other operating expense ratio17.7 %8.2 %11.7 %13.3 %10.3 %13.0 %
Combined ratio106.0 %104.3 %62.9 %95.8 %105.9 %96.5 %
Net premiums written to gross premiums written67.1 %70.6 %88.0 %71.6 %74.5 %73.9 %
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. 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.’ See ‘Comments on Regulation G’ for a further discussion of such items.

13

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Gross premiums written$1,368,867 $1,415,886 $1,244,227 $1,206,328 $1,030,362 $2,784,753 $2,238,007 
Premiums ceded(405,312)(421,047)(406,490)(382,167)(358,101)(826,359)(736,998)
Net premiums written963,555 994,839 837,737 824,161 672,261 1,958,394 1,501,009 
Change in unearned premiums(98,128)(175,365)(89,299)(105,007)15,648 (273,493)(97,181)
Net premiums earned865,427 819,474 748,438 719,154 687,909 1,684,901 1,403,828 
Other underwriting income (loss)— — — (31)— — — 
Losses and loss adjustment expenses(545,880)(535,747)(541,821)(525,321)(518,203)(1,081,627)(1,025,311)
Acquisition expenses(136,852)(128,222)(101,055)(102,420)(107,671)(265,074)(215,008)
Other operating expenses(133,342)(137,113)(118,206)(122,541)(118,757)(270,455)(248,406)
Underwriting income (loss)$49,353 $18,392 $(12,644)$(31,159)$(56,722)$67,745 $(84,897)
Underwriting Ratios
Loss ratio63.1 %65.4 %72.4 %73.0 %75.3 %64.2 %73.0 %
Acquisition expense ratio15.8 %15.6 %13.5 %14.2 %15.7 %15.7 %15.3 %
Other operating expense ratio15.4 %16.7 %15.8 %17.0 %17.3 %16.1 %17.7 %
Combined ratio94.3 %97.7 %101.7 %104.2 %108.3 %96.0 %106.0 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums3.2 %5.1 %8.3 %10.3 %12.5 %4.1 %9.6 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(0.3)%(0.7)%(0.2)%(0.2)%(0.3)%(0.5)%(0.2)%
Combined ratio excluding catastrophic activity and prior year development (1)91.4 %93.3 %93.6 %94.1 %96.1 %92.4 %96.6 %
Net premiums written to gross premiums written70.4 %70.3 %67.3 %68.3 %65.2 %70.3 %67.1 %
 
(1)See ‘Comments on Regulation G’ for further discussion.

14

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Net premiums written
Property, energy, marine and aviation$207,762 21.6 %$170,498 17.1 %$179,455 21.4 %$152,193 18.5 %$159,801 23.8 %$378,260 19.3 %$287,386 19.1 %
Professional lines (1)254,961 26.5 %238,246 23.9 %217,306 25.9 %199,163 24.2 %157,899 23.5 %493,207 25.2 %327,017 21.8 %
Programs149,373 15.5 %158,401 15.9 %96,743 11.5 %123,768 15.0 %104,930 15.6 %307,774 15.7 %217,462 14.5 %
Construction and national accounts77,579 8.1 %134,792 13.5 %102,171 12.2 %88,790 10.8 %57,144 8.5 %212,371 10.8 %173,143 11.5 %
Excess and surplus casualty (2)74,346 7.7 %85,593 8.6 %88,319 10.5 %78,889 9.6 %64,703 9.6 %159,939 8.2 %130,122 8.7 %
Travel, accident and health71,071 7.4 %92,306 9.3 %29,959 3.6 %28,972 3.5 %27,997 4.2 %163,377 8.3 %154,043 10.3 %
Lenders products40,386 4.2 %34,860 3.5 %38,307 4.6 %60,830 7.4 %23,690 3.5 %75,246 3.8 %56,982 3.8 %
Other (3)88,077 9.1 %80,143 8.1 %85,477 10.2 %91,556 11.1 %76,097 11.3 %168,220 8.6 %154,854 10.3 %
Total$963,555 100.0 %$994,839 100.0 %$837,737 100.0 %$824,161 100.0 %$672,261 100.0 %$1,958,394 100.0 %$1,501,009 100.0 %
Underwriting location
United States$658,964 68.4 %$675,840 67.9 %$527,824 63.0 %$574,699 69.7 %$453,215 67.4 %$1,334,804 68.2 %$1,055,892 70.3 %
Europe254,602 26.4 %276,122 27.8 %266,761 31.8 %212,203 25.7 %181,566 27.0 %530,724 27.1 %377,608 25.2 %
Other49,989 5.2 %42,877 4.3 %43,152 5.2 %37,259 4.5 %37,480 5.6 %92,866 4.7 %67,509 4.5 %
Total$963,555 100.0 %$994,839 100.0 %$837,737 100.0 %$824,161 100.0 %$672,261 100.0 %$1,958,394 100.0 %$1,501,009 100.0 %
Net premiums earned
Property, energy, marine and aviation$167,716 19.4 %$157,259 19.2 %$151,456 20.2 %$133,827 18.6 %$120,781 17.6 %$324,975 19.3 %$231,964 16.5 %
Professional lines (1)214,098 24.7 %199,671 24.4 %180,858 24.2 %168,502 23.4 %154,812 22.5 %413,769 24.6 %306,512 21.8 %
Programs118,974 13.7 %112,840 13.8 %110,651 14.8 %104,861 14.6 %108,464 15.8 %231,814 13.8 %217,342 15.5 %
Construction and national accounts95,849 11.1 %102,671 12.5 %101,243 13.5 %95,386 13.3 %91,605 13.3 %198,520 11.8 %191,305 13.6 %
Excess and surplus casualty (2)72,899 8.4 %75,367 9.2 %74,579 10.0 %69,978 9.7 %60,966 8.9 %148,266 8.8 %126,063 9.0 %
Travel, accident and health62,610 7.2 %49,666 6.1 %24,726 3.3 %36,726 5.1 %52,117 7.6 %112,276 6.7 %129,492 9.2 %
Lenders products46,396 5.4 %40,081 4.9 %32,832 4.4 %33,401 4.6 %23,111 3.4 %86,477 5.1 %48,454 3.5 %
Other (3)86,885 10.0 %81,919 10.0 %72,093 9.6 %76,473 10.6 %76,053 11.1 %168,804 10.0 %152,696 10.9 %
Total$865,427 100.0 %$819,474 100.0 %$748,438 100.0 %$719,154 100.0 %$687,909 100.0 %$1,684,901 100.0 %$1,403,828 100.0 %

(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.

15

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Gross premiums written$1,358,020 $1,471,060 $537,912 $1,004,590 $807,065 $2,829,080 $1,929,584 
Premiums ceded(433,288)(471,948)(47,018)(400,388)(241,971)(905,236)(567,310)
Net premiums written924,732 999,112 490,894 604,202 565,094 1,923,844 1,362,274 
Change in unearned premiums(187,708)(354,212)93,180 (49,704)(84,897)(541,920)(338,617)
Net premiums earned737,024 644,900 584,074 554,498 480,197 1,381,924 1,023,657 
Other underwriting income (loss)1,053 (1,198)2,687 298 (651)(145)1,469 
Losses and loss adjustment expenses(463,823)(484,870)(392,734)(422,084)(383,433)(948,693)(813,502)
Acquisition expenses(133,585)(118,025)(98,532)(85,388)(90,522)(251,610)(170,128)
Other operating expenses(44,695)(60,514)(42,180)(41,818)(38,716)(105,209)(84,013)
Underwriting income (loss)$95,974 $(19,707)$53,315 $5,506 $(33,125)$76,267 $(42,517)
Underwriting Ratios
Loss ratio62.9 %75.2 %67.2 %76.1 %79.8 %68.7 %79.5 %
Acquisition expense ratio18.1 %18.3 %16.9 %15.4 %18.9 %18.2 %16.6 %
Other operating expense ratio6.1 %9.4 %7.2 %7.5 %8.1 %7.6 %8.2 %
Combined ratio87.1 %102.9 %91.3 %99.0 %106.8 %94.5 %104.3 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums2.5 %22.7 %16.1 %23.3 %25.3 %11.9 %18.6 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(2.5)%(3.8)%(6.9)%(7.4)%(6.0)%(3.1)%(3.9)%
Combined ratio excluding catastrophic activity and prior year development (1)87.1 %84.0 %82.1 %83.1 %87.5 %85.7 %89.6 %
Net premiums written to gross premiums written68.1 %67.9 %91.3 %60.1 %70.0 %68.0 %70.6 %
 
(1)See ‘Comments on Regulation G’ for further discussion.



16

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Net premiums written
Property excluding property catastrophe$249,101 26.9 %$292,833 29.3 %$150,643 30.7 %$223,880 37.1 %$163,639 29.0 %$541,934 28.2 %$322,563 23.7 %
Property catastrophe87,642 9.5 %117,207 11.7 %37,317 7.6 %42,125 7.0 %117,676 20.8 %204,849 10.6 %206,768 15.2 %
Other specialty (1)296,325 32.0 %284,331 28.5 %147,012 29.9 %159,969 26.5 %117,375 20.8 %580,656 30.2 %402,327 29.5 %
Casualty (2)225,890 24.4 %218,256 21.8 %103,989 21.2 %142,401 23.6 %105,049 18.6 %444,146 23.1 %295,929 21.7 %
Marine and aviation50,248 5.4 %61,638 6.2 %31,418 6.4 %27,839 4.6 %32,372 5.7 %111,886 5.8 %82,157 6.0 %
Other (3)15,526 1.7 %24,847 2.5 %20,515 4.2 %7,988 1.3 %28,983 5.1 %40,373 2.1 %52,530 3.9 %
Total$924,732 100.0 %$999,112 100.0 %$490,894 100.0 %$604,202 100.0 %$565,094 100.0 %$1,923,844 100.0 %$1,362,274 100.0 %
Underwriting location
Bermuda$477,609 51.6 %$518,241 51.9 %$187,727 38.2 %$240,193 39.8 %$240,451 42.6 %$995,850 51.8 %$574,070 42.1 %
United States211,509 22.9 %208,101 20.8 %148,994 30.4 %189,135 31.3 %162,027 28.7 %419,610 21.8 %349,493 25.7 %
Europe and other235,614 25.5 %272,770 27.3 %154,173 31.4 %174,874 28.9 %162,616 28.8 %508,384 26.4 %438,711 32.2 %
Total$924,732 100.0 %$999,112 100.0 %$490,894 100.0 %$604,202 100.0 %$565,094 100.0 %$1,923,844 100.0 %$1,362,274 100.0 %
Net premiums earned
Property excluding property catastrophe$202,780 27.5 %$187,782 29.1 %$162,456 27.8 %$163,081 29.4 %$124,019 25.8 %$390,562 28.3 %$236,671 23.1 %
Property catastrophe76,167 10.3 %88,011 13.6 %59,986 10.3 %69,524 12.5 %55,226 11.5 %164,178 11.9 %108,226 10.6 %
Other specialty (1)211,817 28.7 %163,898 25.4 %158,817 27.2 %141,201 25.5 %123,006 25.6 %375,715 27.2 %326,391 31.9 %
Casualty (2)183,846 24.9 %149,031 23.1 %144,808 24.8 %136,421 24.6 %132,756 27.6 %332,877 24.1 %267,827 26.2 %
Marine and aviation42,773 5.8 %40,108 6.2 %33,062 5.7 %26,744 4.8 %24,960 5.2 %82,881 6.0 %49,818 4.9 %
Other (3)19,641 2.7 %16,070 2.5 %24,945 4.3 %17,527 3.2 %20,230 4.2 %35,711 2.6 %34,724 3.4 %
Total$737,024 100.0 %$644,900 100.0 %$584,074 100.0 %$554,498 100.0 %$480,197 100.0 %$1,381,924 100.0 %$1,023,657 100.0 %
                        
(1)    Includes proportional motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(2)      Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.    
(3)     Includes life, casualty clash and other.    
17

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
2021202120202020202020212020
Gross premiums written$391,511 $391,246 $389,662 $346,248 $369,144 $782,757 $738,089 
Premiums ceded(55,665)(56,051)(57,995)(47,783)(44,044)(111,716)(88,371)
Net premiums written335,846 335,195 331,667 298,465 325,100 671,041 649,718 
Change in unearned premiums(1,625)1,122 4,120 52,944 40,613 (503)61,021 
Net premiums earned334,221 336,317 335,787 351,409 365,713 670,538 710,739 
Other underwriting income (1)4,148 6,897 4,667 4,600 6,450 11,045 11,049 
Losses and loss adjustment expenses(9,880)(63,689)(83,623)(153,055)(224,100)(73,569)(291,666)
Acquisition expenses(30,117)(30,082)(25,936)(35,716)(34,052)(60,199)(72,588)
Other operating expenses(48,312)(49,131)(42,024)(36,708)(37,574)(97,443)(83,470)
Underwriting income$250,060 $200,312 $188,871 $130,530 $76,437 $450,372 $274,064 
Underwriting Ratios
Loss ratio3.0 %18.9 %24.9 %43.6 %61.3 %11.0 %41.0 %
Acquisition expense ratio9.0 %8.9 %7.7 %10.2 %9.3 %9.0 %10.2 %
Other operating expense ratio14.5 %14.6 %12.5 %10.4 %10.3 %14.5 %11.7 %
Combined ratio26.5 %42.4 %45.1 %64.2 %80.9 %34.5 %62.9 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(13.1)%(3.4)%(2.4)%(1.3)%(0.1)%(8.3)%(0.9)%
Combined ratio excluding prior year development (2)39.6 %45.8 %47.5 %65.5 %81.0 %42.8 %63.8 %
Net premiums written to gross premiums written85.8 %85.7 %85.1 %86.2 %88.1 %85.7 %88.0 %
Net premiums written by underwriting location
United States$234,645 $247,529 $250,747 $245,971 $261,124 $482,174 $525,232 
Other101,201 87,666 80,920 52,494 63,976 188,867 124,486 
Total$335,846 $335,195 $331,667 $298,465 $325,100 $671,041 $649,718 
United States %69.9 %73.8 %75.6 %82.4 %80.3 %71.9 %80.8 %
Other %30.1 %26.2 %24.4 %17.6 %19.7 %28.1 %19.2 %

(1)     Primarily related to income earned on various risk-sharing products offered to government sponsored enterprises and mortgage lenders.
(2)    See ‘Comments on Regulation G’ for further discussion.
18

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions)June 30, 2021March 31, 2021December 31, 2020September 30, 2020June 30, 2020
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance$277,887 65.8 %$276,179 64.7 %$280,579 66.2 %$275,846 66.8 %$276,643 65.9 %
Mortgage reinsurance32,666 7.7 %31,699 7.4 %31,220 7.4 %28,421 6.9 %27,457 6.5 %
Other (2)111,884 26.5 %119,138 27.9 %111,740 26.4 %108,786 26.3 %115,803 27.6 %
Total$422,437 100.0 %$427,016 100.0 %$423,539 100.0 %$413,053 100.0 %$419,903 100.0 %
Risk In Force (RIF) (3)
U.S. primary mortgage insurance$69,587 90.3 %$69,234 89.9 %$70,522 90.5 %$69,620 91.0 %$70,200 91.0 %
Mortgage reinsurance2,245 2.9 %2,214 2.9 %2,226 2.9 %2,145 2.8 %2,116 2.7 %
Other (2)5,188 6.7 %5,573 7.2 %5,146 6.6 %4,750 6.2 %4,795 6.2 %
Total$77,020 100.0 %$77,021 100.0 %$77,894 100.0 %$76,515 100.0 %$77,111 100.0 %
Supplemental disclosures for U.S. primary mortgage insurance:
Total RIF by credit quality (FICO score):
>=740$41,156 59.1 %$40,230 58.1 %$40,774 57.8 %$40,017 57.5 %$40,297 57.4 %
680-73923,663 34.0 %24,006 34.7 %24,498 34.7 %24,236 34.8 %24,346 34.7 %
620-6794,401 6.3 %4,607 6.7 %4,837 6.9 %5,016 7.2 %5,188 7.4 %
<620367 0.5 %391 0.6 %413 0.6 %351 0.5 %369 0.5 %
Total$69,587 100.0 %$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %
Weighted average FICO score745 744 743 743 743 
Total RIF by Loan-To-Value (LTV):
95.01% and above$7,975 11.5 %$8,310 12.0 %$8,643 12.3 %$8,789 12.6 %$8,859 12.6 %
90.01% to 95.00%37,619 54.1 %37,193 53.7 %37,877 53.7 %37,278 53.5 %37,830 53.9 %
85.01% to 90.00%19,784 28.4 %19,648 28.4 %20,013 28.4 %19,870 28.5 %20,071 28.6 %
85.00% and below4,209 6.0 %4,083 5.9 %3,989 5.7 %3,683 5.3 %3,440 4.9 %
Total$69,587 100.0 %$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %
Weighted average LTV92.8 %92.8 %92.8 %92.9 %92.9 %
Total RIF by State:
Texas$5,560 8.0 %$5,569 8.0 %$5,636 8.0 %$5,536 8.0 %$5,560 7.9 %
California5,324 7.7 %5,343 7.7 %5,261 7.5 %5,019 7.2 %4,948 7.0 %
Florida3,367 4.8 %3,544 5.1 %3,632 5.2 %3,648 5.2 %3,737 5.3 %
Minnesota2,973 4.3 %2,452 3.5 %2,520 3.6 %2,489 3.6 %2,473 3.5 %
North Carolina2,924 4.2 %2,610 3.8 %2,622 3.7 %2,516 3.6 %2,459 3.5 %
Georgia2,886 4.1 %2,929 4.2 %2,959 4.2 %2,890 4.2 %2,861 4.1 %
Illinois2,832 4.1 %2,728 3.9 %2,762 3.9 %2,670 3.8 %2,643 3.8 %
Massachusetts2,459 3.5 %2,434 3.5 %2,464 3.5 %2,344 3.4 %2,345 3.3 %
Virginia2,372 3.4 %2,458 3.6 %2,526 3.6 %2,540 3.6 %2,656 3.8 %
Ohio2,229 3.2 %2,239 3.2 %2,264 3.2 %2,210 3.2 %2,151 3.1 %
Other36,661 52.7 %36,928 53.3 %37,876 53.7 %37,758 54.2 %38,367 54.7 %
Total$69,587 100.0 %$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %
Weighted average coverage (end of period RIF divided by IIF)25.0 %25.1 %25.1 %25.2 %25.4 %
U.S. mortgage insurance total RIF, net of reinsurance (4)$55,557 $55,503 $56,658 $56,067 $57,258 
Analysts’ persistency (5)54.8 %54.1 %58.7 %62.5 %66.6 %
Risk-to-capital ratio -- Arch MI U.S. (6)8.5:1 8.7:1 9.3:1 9.6:110.2:1
PMIER sufficiency ratio -- Arch MI U.S. (7)196 %190 %173 %158 %161 %

(1)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.         (4)    Total RIF for the U.S. mortgage insurance operations (see note 3) after external reinsurance.
(2)    Includes GSE credit risk-sharing transactions and international insurance business.        (5)    Represents the % of IIF at the beginning of a 12-month period that remained in force at the end of the period.
(3)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied    (6)    Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for June 30, 2021).
    by the insurance coverage percentage specified in the policy for insurance policies issued and    (7)    Calculated as available assets divided by required assets as defined within PMIERs (estimate for June 30, 2021).
    after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions.            There was approximately $1.9 billion of excess available assets at June 30, 2021.
19

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions, except policy/loan/claim count)Three Months Ended
June 30, 2021March 31, 2021December 31, 2020September 30, 2020June 30, 2020
Supplemental disclosures for U.S. primary mortgage insurance:
Total new insurance written (NIW) (1)$28,372 $27,019 $38,011 $32,787 $24,551 
Total NIW by credit quality (FICO score):
>=740$19,240 67.8 %$17,818 65.9 %$25,128 66.1 %$21,160 64.5 %$15,851 64.6 %
680-7398,113 28.6 %8,418 31.2 %11,877 31.2 %10,562 32.2 %7,781 31.7 %
620-6791,019 3.6 %783 2.9 %1,006 2.6 %1,065 3.2 %919 3.7 %
  Total$28,372 100.0 %$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %
Total NIW by LTV:
95.01% and above$1,484 5.2 %$1,608 6.0 %$2,475 6.5 %$2,561 7.8 %$1,948 7.9 %
90.01% to 95.00%13,936 49.1 %12,288 45.5 %17,783 46.8 %13,967 42.6 %9,403 38.3 %
85.01% to 90.00%8,675 30.6 %8,312 30.8 %11,014 29.0 %10,052 30.7 %8,140 33.2 %
85.00% and below4,277 15.1 %4,811 17.8 %6,739 17.7 %6,207 18.9 %5,060 20.6 %
  Total$28,372 100.0 %$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %
Total NIW monthly vs. single:
Monthly$26,725 94.2 %$24,989 92.5 %$35,672 93.8 %$31,928 97.4 %$23,391 95.3 %
Single1,647 5.8 %2,030 7.5 %2,339 6.2 %859 2.6 %1,160 4.7 %
  Total$28,372 100.0 %$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %
Total NIW purchase vs. refinance:
Purchase$25,010 88.2 %$20,505 75.9 %$29,584 77.8 %$24,256 74.0 %$14,956 60.9 %
Refinance3,362 11.8 %6,514 24.1 %8,427 22.2 %8,531 26.0 %9,595 39.1 %
  Total$28,372 100.0 %$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %
Ending number of policies in force (PIF) (2)1,199,918 1,214,245 1,245,771 1,245,408 1,259,328 
Rollforward of insured loans in default:
Beginning delinquent number of loans46,914 52,234 58,362 64,667 18,414 
Plus: new notices7,425 10,990 14,564 19,967 58,374 
Less: cures(16,793)(16,131)(20,457)(26,029)(11,664)
Less: paid claims(227)(179)(235)(243)(457)
Ending delinquent number of loans (2)37,319 46,914 52,234 58,362 64,667 
Ending percentage of loans in default (2)3.11 %3.86 %4.19 %4.69 %5.14 %
Losses:
Number of claims paid227 179 235 243 457 
Total paid claims (in thousands)$8,415 $6,882 $9,344 $9,420 $20,101 
Average per claim (in thousands)$37.1 $38.4 $39.8 $38.8 $44.0 
Severity (3)80.3 %82.0 %87.2 %88.6 %96.3 %
Average case reserve per default (in thousands)$19.5 $15.2 $12.6 $10.1 $6.9 

(1)    The original principal balance of all loans that received coverage during the period.    
(2)    Includes first lien primary and pool policies.    
(3)    Represents total paid claims divided by RIF of loans for which claims were paid.

20

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
Supplemental disclosures for U.S. primary mortgage insurance:
(U.S. Dollars in millions)June 30, 2021December 31, 2020
Loss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency RateLoss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency Rate
% of TotalTotal% of TotalTotal% of Total% of TotalTotal% of TotalTotal% of Total
Policy year:
2011 and prior28.0 %$12,591 4.5 %$2,839 4.1 %9.75 %28.3 %$14,588 5.2 %$3,327 4.7 %11.36 %
20121.2 %2,261 0.8 %587 0.8 %3.00 %1.3 %3,651 1.3 %992 1.4 %2.98 %
20132.8 %5,635 2.0 %1,563 2.2 %2.95 %3.0 %7,546 2.7 %2,107 3.0 %3.30 %
20142.2 %6,288 2.3 %1,729 2.5 %3.52 %2.2 %8,261 2.9 %2,273 3.2 %4.06 %
20153.4 %11,208 4.0 %3,017 4.3 %3.19 %3.4 %15,032 5.4 %4,048 5.7 %3.72 %
20168.6 %18,500 6.7 %4,958 7.1 %4.11 %8.8 %24,958 8.9 %6,648 9.4 %4.77 %
201711.9 %17,577 6.3 %4,574 6.6 %4.87 %12.9 %24,748 8.8 %6,413 9.1 %5.52 %
201816.3 %19,044 6.9 %4,827 6.9 %6.25 %16.8 %27,304 9.7 %6,918 9.8 %6.76 %
201917.3 %34,944 12.6 %8,727 12.5 %4.02 %17.8 %48,304 17.2 %12,001 17.0 %4.61 %
20208.2 %95,419 34.3 %23,316 33.5 %0.88 %5.5 %106,187 37.8 %25,795 36.6 %0.76 %
20210.2 %54,420 19.6 %13,450 19.3 %0.10 %
Total100.0 %$277,887 100.0 %$69,587 100.0 %3.11 %100.0 %$280,579 100.0 %$70,522 100.0 %4.19 %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $713.1 million at June 30, 2021, compared to $649.7 million at December 31, 2020.
(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.
(3)    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 risk-sharing transactions.
21

Arch Capital Group Ltd. and Subsidiaries
Segment Information - Consolidated Excluding the 'Other' Segment (Sub-Total (Core))

(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Gross premiums written$3,117,505 $3,277,293 $2,170,831 $2,556,914 $2,206,410 $6,394,798 $4,904,947 
Premiums ceded(893,372)(948,147)(510,533)(830,086)(643,955)(1,841,519)(1,391,946)
Net premiums written2,224,133 2,329,146 1,660,298 1,726,828 1,562,455 4,553,279 3,513,001 
Change in unearned premiums(287,461)(528,455)8,001 (101,767)(28,636)(815,916)(374,777)
Net premiums earned1,936,672 1,800,691 1,668,299 1,625,061 1,533,819 3,737,363 3,138,224 
Other underwriting income (loss)5,201 5,699 7,354 4,867 5,799 10,900 12,518 
Losses and loss adjustment expenses(1,019,583)(1,084,306)(1,018,178)(1,100,460)(1,125,736)(2,103,889)(2,130,479)
Acquisition expenses(300,554)(276,329)(225,523)(223,524)(232,245)(576,883)(457,724)
Other operating expenses(226,349)(246,758)(202,410)(201,067)(195,047)(473,107)(415,889)
Underwriting income (loss)$395,387 $198,997 $229,542 $104,877 $(13,410)$594,384 $146,650 
Underwriting Ratios
Loss ratio52.6 %60.2 %61.0 %67.7 %73.4 %56.3 %67.9 %
Acquisition expense ratio15.5 %15.3 %13.5 %13.8 %15.1 %15.4 %14.6 %
Other operating expense ratio11.7 %13.7 %12.1 %12.4 %12.7 %12.7 %13.3 %
Combined ratio79.8 %89.2 %86.6 %93.9 %101.2 %84.4 %95.8 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums2.4 %10.5 %9.4 %12.5 %13.5 %6.3 %10.4 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(3.3)%(2.3)%(3.0)%(2.9)%(2.0)%(2.9)%(1.6)%
Combined ratio excluding catastrophic activity and prior year development (1)80.7 %81.0 %80.2 %84.3 %89.7 %81.0 %87.0 %
Components of losses and loss adjustment expenses incurred (1)
Paid losses and loss adjustment expenses$684,087 $572,589 $652,077 $618,638 $550,481 $1,256,676 $1,080,493 
Change in unpaid losses and loss adjustment expenses335,496 511,717 366,101 481,822 575,255 847,213 1,049,986 
Total losses and loss adjustment expenses$1,019,583 $1,084,306 $1,018,178 $1,100,460 $1,125,736 $2,103,889 $2,130,479 
Net premiums written to gross premiums written71.3 %71.1 %76.5 %67.5 %70.8 %71.2 %71.6 %
 
(1)See ‘Comments on Regulation G’ for further discussion.


22

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Selected Information on Losses and Loss Adjustment Expenses

(U.S. Dollars in thousands)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments (1)
Net impact on underwriting results:
Insurance$(2,640)$(5,474)$(1,158)$(1,136)$(2,148)$(8,114)$(2,924)
Reinsurance(18,309)(24,765)(40,472)(40,766)(28,933)(43,074)(39,893)
Mortgage(43,883)(11,492)(8,151)(4,523)(306)(55,375)(6,407)
Total $(64,832)$(41,731)$(49,781)$(46,425)$(31,387)$(106,563)$(49,224)
Impact on losses and loss adjustment expenses:
Insurance$(3,998)$(4,057)$(1,906)$(2,282)$(2,518)$(8,055)$(3,633)
Reinsurance(20,476)(26,809)(40,156)(41,960)(40,211)(47,285)(51,838)
Mortgage(43,102)(10,913)(8,151)(4,523)(208)(54,015)(6,309)
Total$(67,576)$(41,779)$(50,213)$(48,765)$(42,937)$(109,355)$(61,780)
Impact on acquisition expenses:
Insurance$1,358 $(1,417)$748 $1,146 $370 $(59)$709 
Reinsurance2,167 2,044 (316)1,194 11,278 4,211 11,945 
Mortgage(781)(579)— — (98)(1,360)(98)
Total$2,744 $48 $432 $2,340 $11,550 $2,792 $12,556 
Impact on combined ratio:
Insurance(0.3)%(0.7)%(0.2)%(0.2)%(0.3)%(0.5)%(0.2)%
Reinsurance(2.5)%(3.8)%(6.9)%(7.4)%(6.0)%(3.1)%(3.9)%
Mortgage(13.1)%(3.4)%(2.4)%(1.3)%(0.1)%(8.3)%(0.9)%
Total (3.3)%(2.3)%(3.0)%(2.9)%(2.0)%(2.9)%(1.6)%
Impact on loss ratio:
Insurance(0.5)%(0.5)%(0.3)%(0.3)%(0.4)%(0.5)%(0.3)%
Reinsurance(2.8)%(4.2)%(6.9)%(7.6)%(8.4)%(3.4)%(5.1)%
Mortgage(12.9)%(3.2)%(2.4)%(1.3)%(0.1)%(8.1)%(0.9)%
Total(3.5)%(2.3)%(3.0)%(3.0)%(2.8)%(2.9)%(2.0)%
Impact on acquisition expense ratio:
Insurance0.2 %(0.2)%0.1 %0.1 %0.1 %0.0 %0.1 %
Reinsurance0.3 %0.4 %0.0 %0.2 %2.4 %0.3 %1.2 %
Mortgage(0.2)%(0.2)%0.0 %0.0 %0.0 %(0.2)%0.0 %
Total 0.2 %0.0 %0.0 %0.1 %0.8 %0.0 %0.4 %
Estimated net losses incurred from current accident year catastrophic events (2)
Insurance$27,999 $41,876 $62,398 $74,365 $85,929 $69,875 $135,412 
Reinsurance18,467 146,379 93,959 128,939 121,263 164,846 190,216 
Total$46,466 $188,255 $156,357 $203,304 $207,192 $234,721 $325,628 
Impact on combined ratio:
Insurance3.2 %5.1 %8.3 %10.3 %12.5 %4.1 %9.6 %
Reinsurance2.5 %22.7 %16.1 %23.3 %25.3 %11.9 %18.6 %
Total2.4 %10.5 %9.4 %12.5 %13.5 %6.3 %10.4 %
Estimated impact of COVID-19 event, net of reinsurance and reinstatement premiums, included in current accident year catastrophic events (3)
Insurance$178 $572 $(75)$3,442 $78,059 $750 $114,005 
Reinsurance703 $15 446 8,449 95,039 718 145,739 
Total$881 $587 $371 $11,891 $173,098 $1,468 $259,744 
Impact on combined ratio:
Insurance0.0 %0.1 %0.0 %0.5 %11.3 %0.0 %8.1 %
Reinsurance0.1 %0.0 %0.1 %1.5 %19.8 %0.1 %14.2 %
Total0.0 %0.0 %0.0 %0.7 %11.3 %0.0 %8.3 %
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Equals estimated losses from catastrophic events occurring in the current accident year (e.g. natural catastrophes, man-made events, pandemic events), net of reinsurance and reinstatement premiums. As regards the natural catastrophe estimates included within, amounts shown for the insurance segment are for named catastrophic events only, while amounts shown for the reinsurance segment include (i) named events with over $5 million of losses incurred by its Bermuda and Europe operations and (ii) all catastrophe losses incurred by its U.S. operations. Amounts not applicable for the mortgage segment.
(3)Equals estimated losses for exposures through June 30, 2021 to the COVID-19 global pandemic, net of reinsurance and reinstatement premiums. The amounts represent a subset of the estimated losses for the current accident year catastrophic events.
23

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Investable Asset Summary and Investment Portfolio Metrics
The following table summarizes the Company’s investable assets and portfolio metrics (1):
(U.S. Dollars in thousands)June 30,March 31,December 31,September 30,June 30,
20212021202020202020
Investable assets (1) (2):
Fixed maturities available for sale, at fair value$17,448,357 63.9 %$18,136,604 68.9 %$18,104,322 67.4 %$17,844,866 69.4 %$16,557,966 67.5 %
Fixed maturities—fair value option (3)417,700 1.5 %360,616 1.4 %388,191 1.4 %386,865 1.5 %375,793 1.5 %
Fixed maturities pledged under securities lending agreements, at fair value156,056 0.6 %130,152 0.5 %278,783 1.0 %62,749 0.2 %457,906 1.9 %
Total fixed maturities18,022,113 66.0 %18,627,372 70.7 %18,771,296 69.9 %18,294,480 71.1 %17,391,665 70.9 %
Equity securities, at fair value1,595,929 5.8 %1,470,592 5.6 %1,392,420 5.2 %1,449,208 5.6 %1,194,874 4.9 %
Equity securities—fair value option (3)25,158 0.1 %25,640 0.1 %27,555 0.1 %30,494 0.1 %31,197 0.1 %
Equity securities pledged under securities lending agreements, at fair value12,492 0.0 %10,797 0.0 %16,129 0.1 %— 0.0 %6,597 0.0 %
Total equity securities1,633,579 6.0 %1,507,029 5.7 %1,436,104 5.3 %1,479,702 5.8 %1,232,668 5.0 %
Other investments—fair value option (3)1,512,317 5.5 %1,527,999 5.8 %1,480,347 5.5 %1,276,867 5.0 %1,212,788 4.9 %
Other investable assets (3)500,000 1.8 %500,000 1.9 %500,000 1.9 %— 0.0 %— 0.0 %
Total other investments2,012,317 7.4 %2,027,999 7.7 %1,980,347 7.4 %1,276,867 5.0 %1,212,788 4.9 %
Investments accounted for using the equity method (4)2,539,124 9.3 %2,256,327 8.6 %2,047,889 7.6 %1,883,702 7.3 %1,727,302 7.0 %
Short-term investments available for sale, at fair value2,248,613 8.2 %1,269,631 4.8 %1,924,922 7.2 %2,039,097 7.9 %2,277,866 9.3 %
Short-term investments—fair value option (3)131,403 0.5 %140,329 0.5 %138,318 0.5 %118,313 0.5 %14,317 0.1 %
Total short-term investments2,380,016 8.7 %1,409,960 5.4 %2,063,240 7.7 %2,157,410 8.4 %2,292,183 9.3 %
Cash884,857 3.2 %705,787 2.7 %694,997 2.6 %781,065 3.0 %746,606 3.0 %
Securities transactions entered into but not settled at the balance sheet date(180,592)(0.7)%(195,875)(0.7)%(137,578)(0.5)%(148,725)(0.6)%(72,018)(0.3)%
Total investable assets held by the Company$27,291,414 100.0 %$26,338,599 100.0 %$26,856,295 100.0 %$25,724,501 100.0 %$24,531,194 100.0 %
Average effective duration (in years)2.31 2.71 3.01 3.21 3.18  
Average S&P/Moody’s credit ratings (5) AA/Aa2  AA-/Aa3  AA/Aa2  AA/Aa2  AA/Aa2  
Embedded book yield (before investment expenses)1.45 %1.59 %1.56 %1.71 %1.85 % 

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results. Such amounts are summarized as follows:
Investable assets in ‘other’ segment:
Cash$349,202 $236,164 $211,451 $195,333 $107,653 
Investments accounted for using the fair value option1,984,919 1,880,770 1,790,385 1,937,036 1,886,676 
Fixed maturities available for sale, at fair value625,422 586,431 613,503 608,022 649,765 
Equity securities, at fair value97,623 62,314 52,410 52,807 62,443 
Securities sold but not yet purchased(28,068)(34,097)(21,679)(24,909)(29,289)
Securities transactions entered into but not settled at the balance sheet date(97,055)8,846 11,542 (74,837)(35,958)
Total investable assets included in ‘other’ segment$2,932,043 $2,740,428 $2,657,612 $2,693,452 $2,641,290 
(2)    This table excludes the collateral received and reinvested and includes the securities pledged under securities lending agreements, at fair value.
(3)    Included in “other investments” on the balance sheet.
(4)    Changes in the carrying value of investment funds accounted for using the equity method are recorded as “equity in net income (loss) of investment funds accounted for using the equity method” rather than as an unrealized gain or loss component of accumulated other comprehensive income.
(5)    Average credit ratings on the Company’s investment portfolio on securities with ratings assigned by Standard & Poor’s (“S&P”) and Moody’s Investors Service (“Moody’s”).
24

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Net Investment Income, Yield and Total Return

The following table summarizes the Company’s net investment income, yield and total return (1):
(U.S. Dollars in thousands, except share data)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Composition of net investment income (1):       
Fixed maturities$77,709 $79,017 $80,942 $84,608 $91,491 $156,726 $193,254 
Equity securities (dividends)8,282 5,650 9,695 6,659 6,023 13,932 11,653 
Short-term investments972 644 1,129 1,162 897 1,616 4,282 
Other (2)21,026 15,559 15,053 24,594 17,825 36,585 38,304 
Gross investment income107,989 100,870 106,819 117,023 116,236 208,859 247,493 
Investment expenses(18,559)(22,141)(18,827)(17,166)(15,205)(40,700)(33,434)
Net investment income$89,430 $78,729 $87,992 $99,857 $101,031 $168,159 $214,059 
Per share$0.22 $0.19 $0.21 $0.24 $0.25 $0.41 $0.52 
Investment income yield, at amortized cost (1) (3):
Pre-tax1.47 %1.31 %1.45 %1.76 %1.92 %1.40 %2.08 %
After-tax1.30 %1.14 %1.26 %1.57 %1.68 %1.23 %1.81 %
Total return on investments (1) (4)1.58 %(0.18)%2.46 %2.30 %3.72 %1.39 %2.82 %

(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(3)Presented on an annualized basis and excluding the impact of investments for which returns are not included within investment income, such as investments accounted for using the equity method and certain equities.
(4)Total return on investments includes net investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (excluding changes in allowance for credit loses on non-investment related financial assets) and the change in unrealized gains or losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.

25

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Fixed Maturities
 
The following table summarizes the Company’s fixed maturities and fixed maturities pledged under securities lending agreements (1):
(U.S. Dollars in thousands)

Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net
Unrealized
Gains (Losses)
Allowance
for Credit Losses
Amortized
Cost
Fair Value /
Amortized Cost
Fair Value
% of Total
At June 30, 2021
Corporates$7,375,350 $213,421 $(34,448)$178,973 $(1,100)$7,197,477 102.5 %40.9 %
U.S. government and government agencies4,855,595 14,030 (13,703)327 — 4,855,268 100.0 %26.9 %
Municipal bonds413,709 23,066 (1,660)21,406 (6)392,309 105.5 %2.3 %
Non-U.S. government securities2,308,403 99,686 (17,637)82,049 (47)2,226,401 103.7 %12.8 %
Asset-backed securities2,426,917 15,864 (3,330)12,534 (486)2,414,869 100.5 %13.5 %
Commercial mortgage-backed securities267,574 4,017 (611)3,406 (3)264,171 101.3 %1.5 %
Residential mortgage-backed securities374,565 4,474 (3,349)1,125 (229)373,669 100.2 %2.1 %
Total$18,022,113 $374,558 $(74,738)$299,820 $(1,871)$17,724,164 101.7 %100.0 %
At December 31, 2020
Corporates$8,039,745 $405,071 $(30,666)$374,405 $(700)$7,666,040 104.9 %42.8 %
U.S. government and government agencies5,354,863 21,490 (12,587)8,903 — 5,345,960 100.2 %28.5 %
Municipal bonds492,734 27,189 (3,835)23,354 (11)469,391 105.0 %2.6 %
Non-U.S. government securities2,310,157 143,054 (7,958)135,096 — 2,175,061 106.2 %12.3 %
Asset-backed securities1,566,188 18,689 (7,635)11,054 (1,090)1,556,224 100.6 %8.3 %
Commercial mortgage-backed securities390,990 8,722 (2,954)5,768 (122)385,344 101.5 %2.1 %
Residential mortgage-backed securities616,619 8,934 (4,280)4,654 (278)612,243 100.7 %3.3 %
Total$18,771,296 $633,149 $(69,915)$563,234 $(2,201)$18,210,263 103.1 %100.0 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.


26

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Credit Quality Distribution and Maturity Profile

The following table summarizes the credit quality distribution and maturity profile of the Company’s fixed maturities and fixed maturities pledged under securities lending agreements (1):
(U.S. Dollars in thousands)June 30,March 31,December 31,September 30,June 30,
20212021202020202020
Credit quality distribution of total fixed maturities (2) (3):
U.S. government and government agencies (4)$5,221,296 29.0 %$5,432,191 29.2 %$5,963,758 31.8 %$5,360,798 29.3 %$5,566,339 32.0 %
AAA3,432,285 19.0 %3,145,642 16.9 %3,117,046 16.6 %3,352,902 18.3 %3,035,513 17.5 %
AA2,004,442 11.1 %2,069,764 11.1 %2,063,738 11.0 %2,087,245 11.4 %1,818,693 10.5 %
A3,268,661 18.1 %3,878,113 20.8 %3,760,280 20.0 %3,895,053 21.3 %4,232,245 24.3 %
BBB2,896,453 16.1 %2,829,202 15.2 %2,699,201 14.4 %2,542,233 13.9 %1,874,332 10.8 %
BB544,730 3.0 %622,448 3.3 %574,189 3.1 %504,570 2.8 %406,342 2.3 %
B330,639 1.8 %331,144 1.8 %268,095 1.4 %231,774 1.3 %211,638 1.2 %
Lower than B48,230 0.3 %57,659 0.3 %54,795 0.3 %54,118 0.3 %51,273 0.3 %
Not rated275,377 1.5 %261,209 1.4 %270,194 1.4 %265,787 1.5 %195,290 1.1 %
Total fixed maturities, at fair value$18,022,113 100.0 %$18,627,372 100.0 %$18,771,296 100.0 %$18,294,480 100.0 %$17,391,665 100.0 %
Maturity profile of total fixed maturities (2):
Due in one year or less$442,507 2.5 %$376,026 2.0 %$327,899 1.7 %$314,243 1.7 %$350,520 2.0 %
Due after one year through five years9,873,037 54.8 %10,913,524 58.6 %10,424,114 55.5 %9,744,246 53.3 %9,730,262 55.9 %
Due after five years through ten years4,185,053 23.2 %4,054,083 21.8 %4,901,382 26.1 %4,861,677 26.6 %4,342,055 25.0 %
Due after 10 years452,460 2.5 %510,405 2.7 %544,104 2.9 %602,120 3.3 %467,099 2.7 %
14,953,057 83.0 %15,854,038 85.1 %16,197,499 86.3 %15,522,286 84.8 %14,889,936 85.6 %
Mortgage-backed securities374,565 2.1 %558,584 3.0 %616,619 3.3 %703,393 3.8 %593,799 3.4 %
Commercial mortgage-backed securities267,574 1.5 %256,598 1.4 %390,990 2.1 %375,510 2.1 %396,813 2.3 %
Asset-backed securities2,426,917 13.5 %1,958,152 10.5 %1,566,188 8.3 %1,693,291 9.3 %1,511,117 8.7 %
Total fixed maturities, at fair value$18,022,113 100.0 %$18,627,372 100.0 %$18,771,296 100.0 %$18,294,480 100.0 %$17,391,665 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    This table excludes the collateral received and reinvested and includes the fixed maturities pledged under securities lending agreements, at fair value.
(3)     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.
(4)     Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.


27

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Analysis of Corporate Exposures

The following table summarizes the Company’s corporate bonds by sector (1):
(U.S. Dollars in thousands)
June 30,March 31,December 31,September 30,June 30,
20212021202020202020
Sector:
Industrials$3,873,768 52.5 %$4,744,615 57.6 %$4,940,996 61.5 %$5,303,089 65.2 %$4,650,615 63.6 %
Financials2,974,254 40.3 %2,868,957 34.8 %2,432,719 30.3 %2,156,871 26.5 %2,164,859 29.6 %
Utilities474,845 6.4 %521,551 6.3 %584,869 7.3 %562,939 6.9 %409,778 5.6 %
Covered bonds3,022 0.0 %2,029 0.0 %2,013 0.0 %2,072 0.0 %1,974 0.0 %
All other (2)49,461 0.7 %96,619 1.2 %79,148 1.0 %112,611 1.4 %82,190 1.1 %
Total$7,375,350 100.0 %$8,233,771 100.0 %$8,039,745 100.0 %$8,137,582 100.0 %$7,309,416 100.0 %
Credit quality distribution (3):
AAA$141,983 1.9 %$151,195 1.8 %$220,584 2.7 %$291,154 3.6 %$76,923 1.1 %
AA890,624 12.1 %961,880 11.7 %995,742 12.4 %1,068,945 13.1 %894,495 12.2 %
A2,742,121 37.2 %3,431,522 41.7 %3,313,349 41.2 %3,478,591 42.7 %3,834,480 52.5 %
BBB2,687,944 36.4 %2,684,300 32.6 %2,574,823 32.0 %2,427,829 29.8 %1,773,620 24.3 %
BB499,327 6.8 %582,086 7.1 %540,397 6.7 %478,445 5.9 %388,112 5.3 %
B311,611 4.2 %312,362 3.8 %258,035 3.2 %224,644 2.8 %205,342 2.8 %
Lower than B31,600 0.4 %33,667 0.4 %30,625 0.4 %30,423 0.4 %27,865 0.4 %
Not rated70,140 1.0 %76,759 0.9 %106,190 1.3 %137,551 1.7 %108,579 1.5 %
Total$7,375,350 100.0 %$8,233,771 100.0 %$8,039,745 100.0 %$8,137,582 100.0 %$7,309,416 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Includes sovereign securities, supranational securities and other.
(3)    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.

The following table summarizes the Company’s top ten exposures to fixed income corporate issuers by fair value at June 30, 2021 (1):
(U.S. Dollars in thousands)Fair
Value
% of Asset Class% of Investable AssetsCredit Quality (2)
Issuer:
Bank of America Corporation$373,742 5.1 %1.4 %A-/A2
JPMorgan Chase & Co.372,381 5.0 %1.4 %A-/A2
Citigroup Inc.288,574 3.9 %1.1 %BBB+/A3
Morgan Stanley253,549 3.4 %0.9 %BBB+/A1
Wells Fargo & Company247,222 3.4 %0.9 %BBB+/A2
The Goldman Sachs Group, Inc.185,647 2.5 %0.7 %BBB+/A2
Nestlé S.A.129,191 1.8 %0.5 %AA-/Aa3
Amazon.com, Inc.118,047 1.6 %0.4 %AA/A1
Nippon Telegraph and Telephone Corporation95,958 1.3 %0.4 %A/A1
AT&T Inc.92,795 1.3 %0.3 %BBB/Baa2
Total$2,157,106 29.2 %7.9 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Average credit ratings assigned by S&P and Moody’s, respectively.

28

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Structured Securities

The following table provides the composition of the Company’s structured securities at June 30, 2021 (1):

(U.S. Dollars in thousands)AgenciesAAAAAABBBNon-Investment GradeTotal
      
Residential mortgage-backed securities$336,784 $14,367 $294 $— $55 $23,065 $374,565 
Commercial mortgage-backed securities28,917 183,754 2,840 16,231 10,830 25,002 267,574 
Asset-backed securities— 1,509,382 198,570 390,602 107,899 220,464 2,426,917 
Total$365,701 $1,707,503 $201,704 $406,833 $118,784 $268,531 $3,069,056 

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.


29

Arch Capital Group Ltd. and Subsidiaries
Comments on Regulation G
Throughout this financial supplement, the Company presents its operations in the way it believes will be the most meaningful and useful to investors, analysts, rating agencies and others who use the Company’s financial information in evaluating the performance of the 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 (which includes changes in the allowance for credit losses on financial assets and 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, and transaction costs and other, net of 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 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 on the following page.
The Company believes that net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, the Company’s business performance. Although net realized gains or losses, 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 the Company’s 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 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 the Company’s financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization. The use of the equity method on certain of the Company’s 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 the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). This method of accounting is different from the way the Company accounts for its 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 acquisitions and Watford’s non-recurring listing expenses. The Company believes that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’s business performance. Due to these reasons, the Company excludes net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other from the calculation of after-tax operating income or loss available to Arch common shareholders.
The Company believes that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of the Company’s business since the Company evaluates the performance of and manages its business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, the Company believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. The Company also believes that this measure follows industry practice and, therefore, allows the users of the Company’s financial information to compare the Company’s performance with its industry peer group. The Company believes that the equity analysts and certain rating agencies which follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
In addition, the Company’s presentation includes the use of information prepared on a ‘core’ basis, which excludes amounts related to the ‘other’ segment (i.e., results of Watford). Information provided on a ‘core’ basis are non-GAAP financial measures as defined in Regulation G. Pursuant to generally accepted accounting principles, Watford is considered a variable interest entity and the Company concluded that it is the primary beneficiary of Watford. As such, the Company consolidates the results of Watford in its consolidated financial statements, although it only owns approximately 10% of Watford’s outstanding common equity. Watford has its own management and board of directors that is responsible for its own results and profitability. In addition, the Company does not guarantee or provide credit support for Watford. Because Watford is an independent company, the assets of Watford can be used only to settle obligations of Watford and Watford is solely responsible for its own liabilities and commitments. The Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. The Company believes that presenting information on a ‘core’ basis enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. See ‘Segment Information’ for a further discussion of segment results and a reconciliation of core and consolidated results.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss on a ‘core’ basis. Such measures represent the pre-tax profitability of the Company’s 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 the Company’s individual underwriting operations. Underwriting income or loss does not incorporate items included in the Company’s corporate (non-underwriting) segment. While these measures are presented in the Segment Information footnote to the Company’s 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 ‘core’ basis, in accordance with Regulation G, is shown on pages 10 to 13.
In addition, the Company’s segment information includes the use of a combined ratio excluding catastrophic activity and prior year development, for the insurance and reinsurance segments, and a combined ratio excluding prior year development, for the mortgage segment. These ratios are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to the combined ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G are shown on the individual segment pages. The Company’s management utilizes the adjusted combined ratios excluding current accident year catastrophic events and favorable or adverse development in prior year loss reserves in its analysis of the underwriting performance of each of its 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 (excluding changes in the allowance for credit losses on non-investment related financial assets) 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. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by the Company’s investment portfolio against benchmark returns during the periods presented.
30

Arch Capital Group Ltd. and Subsidiaries
Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income (loss) available to Arch common shareholders to after-tax operating income (loss) available to Arch common shareholders and related diluted per share results. Each line item reflects the impact of the Company’s ownership of Watford’s outstanding common equity:
(U.S. Dollars in thousands, except share data)Three Months EndedSix Months Ended
 June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Net income available to Arch common shareholders$663,820 $427,753 $533,141 $408,636 $288,418 $1,091,573 $422,132 
Net realized (gains) losses(167,438)(105,551)(297,801)(219,726)(406,645)(272,989)(297,281)
Equity in net (income) loss of investment funds accounted for using the equity method(122,186)(71,686)(89,286)(126,735)65,119 (193,872)69,328 
Net foreign exchange (gains) losses17,888 (21,332)63,588 39,462 42,032 (3,444)(22,459)
Transaction costs and other(1,421)1,274 4,718 1,674 977 (147)3,572 
Income tax expense (benefit) (1)16,553 9,311 16,057 17,010 26,713 25,864 31,078 
After-tax operating income available to Arch common shareholders$407,216 $239,769 $230,417 $120,321 $16,614 $646,985 $206,370 
Diluted per common share results:
Net income available to Arch common shareholders$1.63 $1.05 $1.30 $1.00 $0.71 $2.68 $1.03 
Net realized (gains) losses(0.41)(0.25)(0.72)(0.54)(1.00)(0.66)(0.72)
Equity in net (income) loss of investment funds accounted for using the equity method(0.30)(0.18)(0.22)(0.31)0.16 (0.48)0.17 
Net foreign exchange (gains) losses0.04 (0.05)0.15 0.10 0.10 (0.01)(0.06)
Transaction costs and other0.00 0.00 0.01 0.00 0.00 0.00 0.01 
Income tax expense (benefit) (1)0.04 0.02 0.04 0.04 0.07 0.06 0.07 
After-tax operating income available to Arch common shareholders$1.00 $0.59 $0.56 $0.29 $0.04 $1.59 $0.50 
Weighted average common shares and common share equivalents outstanding - diluted406,485,994 409,223,253 410,281,852 409,194,657 408,119,681 407,687,680 411,005,591 
Beginning common shareholders’ equity$12,316,472 $12,325,886 $11,671,997 $11,211,825 $10,587,244 $12,325,886 $10,717,371 
Ending common shareholders’ equity12,706,072 12,316,472 12,325,886 11,671,997 11,211,825 12,706,072 11,211,825 
Average common shareholders’ equity$12,511,272 $12,321,179 $11,998,942 $11,441,911 $10,899,535 $12,515,979 $10,964,598 
Annualized return on average common equity21.2 %13.9 %17.8 %14.3 %10.6 %17.4 %7.7 %
Annualized operating return on average common equity13.0 %7.8 %7.7 %4.2 %0.6 %10.3 %3.8 %

(1)Income tax expense on net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income (loss) of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.


31

Arch Capital Group Ltd. and Subsidiaries
Operating Income and Effective Tax Rate Calculations
The following table provides a reconciliation of income (loss) before income taxes to after-tax operating income (loss) available to Arch common shareholders and an analysis of the effective tax rate on pre-tax operating income (loss) available to Arch common shareholders:
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Arch Operating Income Components (1):
Income (loss) before income taxes and income (loss) from operating affiliates$697,799 $397,244 $560,146 $432,896 $305,647 $1,095,043 $503,084 
Net realized (gains) losses(163,394)(101,336)(289,817)(210,984)(385,089)(264,730)(312,980)
Equity in net (income) loss of investment funds accounted for using the equity method(122,186)(71,686)(89,286)(126,735)65,119 (193,872)69,328 
Net foreign exchange (gains) losses17,892 (21,505)62,349 38,681 42,438 (3,613)(20,869)
Transaction costs and other(2,018)1,390 3,086 792 43 (628)2,581 
Income (loss) from operating affiliates
24,476 75,457 10,504 919 (3,173)99,933 5,343 
Pre-tax operating income452,569 279,564 256,982 135,569 24,985 732,133 246,487 
Arch share of ‘other’ segment operating income (loss) (2)733 198 1,526 1,792 1,798 931 4,035 
Pre-tax operating income available to Arch (b)453,302 279,762 258,508 137,361 26,783 733,064 250,522 
Income tax expense (a)(34,420)(29,590)(17,688)(6,637)234 (64,010)(23,346)
After-tax operating income available to Arch418,882 250,172 240,820 130,724 27,017 669,054 227,176 
Preferred dividends(11,666)(10,403)(10,403)(10,403)(10,403)(22,069)(20,806)
After-tax operating income available to Arch common shareholders$407,216 $239,769 $230,417 $120,321 $16,614 $646,985 $206,370 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b)7.6 %10.6 %6.8 %4.8 %(0.9)%8.7 %9.3 %

(1)    Line items are presented on a ‘core’ basis, excluding amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Balances in the ‘other’ segment and a calculation of Arch’s share of the ‘other’ segment operating income (loss) is as follows:
(U.S. Dollars in thousands)Three Months EndedSix Months Ended
June 30,March 31,December 31,September 30,June 30,June 30,June 30,
 2021202120202020202020212020
Balances in ‘other’ segment:
Underwriting income (loss)$(8,866)$(13,079)$(8,555)$(8,273)$(9,129)$(21,945)$(15,139)
Net investment income22,183 20,127 26,466 28,655 30,454 42,310 62,579 
Interest expense(4,261)(4,149)(4,804)(5,119)(6,009)(8,410)(13,319)
Amortization of intangible assets(898)— — — — (898)— 
Preferred dividends(981)(972)(992)(993)(1,036)(1,953)(2,132)
Pre-tax operating income (loss) available to common shareholders7,177 1,927 12,115 14,270 14,280 9,104 31,989 
Arch ownership10 %10 %13 %13 %13 %10 %13 %
Arch share of ‘Other’ segment operating income (loss) (3)$733 $198 $1,526 $1,792 $1,798 $931 $4,035 

(3) Excludes amounts attributable to net realized gains or losses and net foreign exchange gains or losses in the ‘other’ segment (see ‘Segment Information’).
32

Arch Capital Group Ltd. and Subsidiaries
Capital Structure and Share Repurchase Activity
The following table provides an analysis of the Company’s capital structure (1):
(U.S. Dollars in thousands, except share data)June 30,March 31,December 31,September 30,June 30,
20212021202020202020
Debt:
Arch Capital senior notes, due May 1, 2034 ($300,000 principal, 7.35%)$300,000 $300,000 $300,000 $300,000 $300,000 
Arch-U.S. senior notes, due Nov. 1, 2043 ($500,000 principal, 5.144%) (2)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2026 ($500,000 principal, 4.011%) (3)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2046 ($450,000 principal, 5.031%) (3)450,000 450,000 450,000 450,000 450,000 
Arch Capital senior notes, due June 30, 2050 ($1,000,000 principal, 3.635%)1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 
Deferred debt costs on senior notes(26,097)(26,340)(26,577)(26,811)(26,820)
Revolving credit agreement borrowings, due October 26, 2021 (variable)— — — — — 
Total debt$2,723,903 $2,723,660 $2,723,423 $2,723,189 $2,723,180 
Shareholders’ equity available to Arch:
Series E non-cumulative preferred shares (5.25%)450,000 450,000 450,000 450,000 450,000 
Series F non-cumulative preferred shares (5.45%)330,000 330,000 330,000 330,000 330,000 
Series G non-cumulative preferred shares (4.55%)500,000 — — — — 
Common shareholders’ equity (a)12,706,072 12,316,472 12,325,886 11,671,997 11,211,825 
Total shareholders’ equity available to Arch$13,986,072 $13,096,472 $13,105,886 $12,451,997 $11,991,825 
Total capital available to Arch$16,709,975 $15,820,132 $15,829,309 $15,175,186 $14,715,005 
Common shares outstanding, net of treasury shares (b)396,771,251 403,313,377 406,720,642 406,018,958 405,970,251 
Book value per common share (4) (a)/(b)$32.02 $30.54 $30.31 $28.75 $27.62 
Leverage ratios:
Senior notes/total capital available to Arch16.3 %17.2 %17.2 %17.9 %18.5 %
Revolving credit agreement borrowings/total capital available to Arch— %— %— %— %— %
Debt/total capital available to Arch16.3 %17.2 %17.2 %17.9 %18.5 %
Preferred/total capital available to Arch7.7 %4.9 %4.9 %5.1 %5.3 %
Debt and preferred/total capital available to Arch24.0 %22.1 %22.1 %23.1 %23.8 %
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Issued by Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a wholly owned subsidiary of Arch Capital, and fully and unconditionally guaranteed by Arch Capital.
(3)    Issued by Arch Capital Finance LLC (“Arch Finance”), a wholly owned subsidiary of Arch U.S. MI Holdings Inc., and fully and unconditionally guaranteed by Arch Capital.
(4)    Excludes the effects of stock options, restricted and performance stock units outstanding.
The following table provides the impact of share repurchases under the Company’s share repurchase program:
(U.S. Dollars in thousands except share data)Three Months EndedCumulative
 June 30,March 31,December 31,September 30,June 30,June 30,
 202120212020202020202021
Effect of share repurchases:
Aggregate cost of shares repurchased$306,049 $179,266 $7,986 $— $— $4,537,081 
Shares repurchased7,805,455 5,308,319 250,714 — — 402,305,856 
Average price per share repurchased$39.21 $33.77 $31.85 $— $— $11.28 
Remaining share repurchase authorization (1)$431,213 
 (1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.
33