0000947484-22-000049.txt : 20220727 0000947484-22-000049.hdr.sgml : 20220727 20220727161452 ACCESSION NUMBER: 0000947484-22-000049 CONFORMED SUBMISSION TYPE: 8-K PUBLIC DOCUMENT COUNT: 18 CONFORMED PERIOD OF REPORT: 20220727 ITEM INFORMATION: Results of Operations and Financial Condition ITEM INFORMATION: Financial Statements and Exhibits FILED AS OF DATE: 20220727 DATE AS OF CHANGE: 20220727 FILER: COMPANY DATA: COMPANY CONFORMED NAME: ARCH CAPITAL GROUP LTD. CENTRAL INDEX KEY: 0000947484 STANDARD INDUSTRIAL CLASSIFICATION: FIRE, MARINE & CASUALTY INSURANCE [6331] IRS NUMBER: 980374481 FISCAL YEAR END: 1231 FILING VALUES: FORM TYPE: 8-K SEC ACT: 1934 Act SEC FILE NUMBER: 001-16209 FILM NUMBER: 221111172 BUSINESS ADDRESS: STREET 1: WATERLOO HOUSE, GROUND FLOOR STREET 2: 100 PITTS BAY ROAD CITY: PEMBROKE STATE: D0 ZIP: HM 08 BUSINESS PHONE: 441-278-9250 MAIL ADDRESS: STREET 1: WATERLOO HOUSE, GROUND FLOOR STREET 2: 100 PITTS BAY ROAD CITY: PEMBROKE STATE: D0 ZIP: HM 08 FORMER COMPANY: FORMER CONFORMED NAME: ARCH CAPITAL GROUP LTD DATE OF NAME CHANGE: 20000508 FORMER COMPANY: FORMER CONFORMED NAME: RISK CAPITAL HOLDINGS INC DATE OF NAME CHANGE: 19950816 FORMER COMPANY: FORMER CONFORMED NAME: RISK CAPITAL RE INC DATE OF NAME CHANGE: 19950703 8-K 1 acgl-20220727.htm 8-K acgl-20220727
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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549
 
FORM 8-K
 
Current Report Pursuant to Section 13 or 15(d)
of the Securities Exchange Act of 1934
 
July 27, 2022
Date of Report (Date of earliest event reported) 
Arch Capital Group Ltd.
(Exact name of registrant as specified in its charter)
Bermuda 001-16209 98-0374481
(State or other
jurisdiction of
incorporation or
organization)
 (Commission File Number) (I.R.S. Employer
Identification No.)
 
Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda
(Address of principal executive offices) (Zip Code)
 
Registrant’s telephone number, including area code:
(441) 278-9250
 
N/A
(Former name or former address, if changed since last report)
 
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (see General Instruction A.2. below):
 
    Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
 
    Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
 
    Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
 
    Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))


Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each classTrading Symbol (s)Name of each exchange on which registered
Common shares, $0.0011 par value per shareACGLNASDAQStock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLO
NASDAQStock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred shareACGLNNASDAQStock Market
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (§230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (§240.12b-2 of this chapter).

    Emerging growth company     

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.  o



ITEM 2.02           Results of Operations and Financial Condition.
 
On July 27, 2022, Arch Capital Group Ltd. issued a press release reporting its earnings and the availability of its financial supplement for the quarter ended June 30, 2022. The press release and financial supplement are attached to this Current Report on Form 8-K as Exhibit 99.1 and Exhibit 99.2, respectively, and are incorporated herein by reference.
 
The information in this Current Report on Form 8-K, including the information set forth in Exhibit 99.1 and Exhibit 99.2, shall not be deemed “filed” for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), or incorporated by reference in any filing under the Securities Act of 1933, as amended, or the Exchange Act, except as shall be expressly set forth by specific reference in such a filing.

ITEM 9.01    Financial Statements and Exhibits.

(d):     The following exhibits are being filed herewith.
EXHIBIT NO. DESCRIPTION
99.1 
99.2 
104Cover Page Interactive Data File (embedded within the Inline XBRL document)
2


SIGNATURES
 
Pursuant to the requirements of the Securities Exchange Act of 1934, as amended, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.
 
 ARCH CAPITAL GROUP LTD.
   
   
Date: July 27, 2022By:/s/ François Morin
  Name:François Morin
  Title:Executive Vice President, Chief Financial Officer and Treasurer


3
EX-99.1 2 ex-991release63022.htm EX-99.1 Document

EXHIBIT 99.1
archlogorgbsolida38.jpg
PRESS RELEASEArch Capital Group Ltd.
NASDAQ Symbol: ACGLWaterloo House, Ground Floor
For Immediate Release100 Pitts Bay Road
July 27, 2022
Pembroke HM 08 Bermuda

ARCH CAPITAL GROUP LTD. REPORTS 2022 SECOND QUARTER RESULTS

PEMBROKE, BERMUDA--(BUSINESS WIRE)--Arch Capital Group Ltd. (NASDAQ: ACGL; “Arch” or “the Company”) announces its 2022 second quarter results. The results included:
Net income available to Arch common shareholders of $394.2 million, or $1.04 per share, a 13.3% annualized net income return on average common equity, compared to $663.8 million, or $1.63 per share, for the 2021 second quarter;
After-tax operating income available to Arch common shareholders(1) of $506.5 million, or $1.34 per share, a 17.1% annualized operating return on average common equity, compared to $407.2 million, or $1.00 per share, for the 2021 second quarter;
Combined ratio excluding catastrophic activity and prior year development(1) of 80.8%, compared to 80.7% for the 2021 second quarter;
Pre-tax current accident year catastrophic losses for the Company’s insurance and reinsurance segments, net of reinsurance and reinstatement premiums(1) of $82.4 million;
Favorable development in prior year loss reserves, net of related adjustments(1) of $166.6 million;
7.1 million shares repurchased at an aggregate cost of approximately $320.7 million;
Book value per common share of $31.37 at June 30, 2022, a 2.5% decrease from March 31, 2022.

All earnings per share amounts discussed in this release are on a diluted basis. The following table summarizes the Company’s underwriting results, both (i) on a consolidated basis and (ii) on a consolidated basis excluding the ‘other’ segment (i.e., results of Somers). Effective July 1, 2021, the Company no longer consolidates the results of Somers in its consolidated financial statements.
(U.S. dollars in thousands)Consolidated
Consolidated Excluding ‘Other’ Segment (1)
Three Months Ended June 30,Three Months Ended June 30,
20222021% Change20222021% Change
Gross premiums written$3,869,727 $3,286,291 17.8 $3,869,727 $3,117,505 24.1 
Net premiums written2,684,639 2,399,524 11.9 2,684,639 2,224,133 20.7 
Net premiums earned2,325,775 2,120,909 9.7 2,325,775 1,936,672 20.1 
Underwriting income535,378 386,521 38.5 535,378 395,387 35.4 
Underwriting Ratios% Point Change% Point Change
Loss ratio47.4 %54.7 %(7.3)47.4 %52.6 %(5.2)
Underwriting expense ratio29.7 %27.3 %2.4 29.7 %27.2 %2.5 
Combined ratio77.1 %82.0 %(4.9)77.1 %79.8 %(2.7)
Combined ratio excluding catastrophic activity and prior year development (1)
80.8 %80.7 %0.1 
(1)    Presentation represents a “non-GAAP” financial measure as defined in Regulation G. Such presentation excludes the results of Somers Group Holdings Ltd. (“Somers”), formerly known as Watford Holdings Ltd., which the Company consolidated in its financial statements through June 30, 2021 pursuant to GAAP. See ‘Comments on Regulation G’ for further details.
1


The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders and related diluted per share results (see ‘Comments on Regulation G’ for a discussion of non-GAAP financial measures):
(U.S. dollars in thousands, except share data)Three Months EndedSix Months Ended
June 30,June 30,
2022202120222021
Net income available to Arch common shareholders$394,160 $663,820 $579,776 $1,091,573 
Net realized (gains) losses266,579 (167,438)558,993 (272,989)
Equity in net (income) loss of investment funds accounted for using the equity method(58,061)(122,186)(94,366)(193,872)
Net foreign exchange (gains) losses(87,797)17,888 (91,652)(3,444)
Transaction costs and other261 (1,421)658 (147)
Income tax expense (benefit) (1)(8,646)16,553 (24,914)25,864 
After-tax operating income available to Arch common shareholders$506,496 $407,216 $928,495 $646,985 
Diluted per common share results:
Net income available to Arch common shareholders$1.04 $1.63 $1.52 $2.68 
Net realized (gains) losses0.70 (0.41)1.47 (0.66)
Equity in net (income) loss of investment funds accounted for using the equity method(0.15)(0.30)(0.25)(0.48)
Net foreign exchange (gains) losses(0.23)0.04 (0.24)(0.01)
Transaction costs and other0.00 0.00 0.00 0.00 
Income tax expense (benefit) (1)(0.02)0.04 (0.06)0.06 
After-tax operating income available to Arch common shareholders$1.34 $1.00 $2.44 $1.59 
Weighted average common shares and common share equivalents outstanding — diluted377,952,988 406,485,994 380,905,512 407,687,680 
Beginning common shareholders’ equity$12,089,589 $12,316,472 $12,715,896 $12,325,886 
Ending common shareholders’ equity11,587,566 12,706,072 11,587,566 12,706,072 
Average common shareholders’ equity$11,838,578 $12,511,272 $12,151,731 $12,515,979 
Annualized net income return on average common equity13.3 %21.2 %9.5 %17.4 %
Annualized operating return on average common equity17.1 %13.0 %15.3 %10.3 %
(1)    Income tax expense (benefit) on net realized gains or losses, equity in net income (loss) of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

2


Segment Information
The following section provides analysis on the Company’s 2022 second quarter performance by operating segment. For additional details regarding the Company’s operating segments, please refer to the Company’s Financial Supplement dated June 30, 2022. The Company’s segment information includes the use of underwriting income (loss) and a combined ratio excluding catastrophic activity and prior year development. Such items are non-GAAP financial measures (see ‘Comments on Regulation G’ for further details).
Insurance Segment
Three Months Ended June 30,
(U.S. dollars in thousands)20222021% Change
Gross premiums written$1,705,167 $1,368,867 24.6 
Net premiums written1,228,257 963,555 27.5 
Net premiums earned1,102,144 865,427 27.4 
Underwriting income$97,609 $49,353 97.8 
Underwriting Ratios% Point Change
Loss ratio57.1 %63.1 %(6.0)
Underwriting expense ratio34.0 %31.2 %2.8 
Combined ratio91.1 %94.3 %(3.2)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums1.5 %3.2 %(1.7)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(0.4)%(0.3)%(0.1)
Combined ratio excluding catastrophic activity and prior year development90.0 %91.4 %(1.4)
Gross premiums written by the insurance segment in the 2022 second quarter were 24.6% higher than in the 2021 second quarter while net premiums written were 27.5% higher than in the 2021 second quarter. The higher level of net premiums written reflected increases in most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts. Net premiums earned in the 2022 second quarter were 27.4% higher than in the 2021 second quarter, and reflect changes in net premiums written over the previous five quarters.
The 2022 second quarter loss ratio reflected 1.2 points of current year catastrophic activity, compared to 3.2 points of catastrophic activity in the 2021 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 0.6 points in the 2022 second quarter, compared to 0.5 in the 2021 second quarter. The improvement in the 2022 second quarter loss ratio also reflected the impact of rate increases and changes in mix of business.
The underwriting expense ratio was 34.0% in the 2022 second quarter, compared to 31.2% in the 2021 second quarter. The increase in the 2022 second quarter was primarily due to higher gross commission ratios, growth in lines with higher acquisition costs, such as travel, and targeted personnel expansion to support our growth. This increase was partially offset by a higher level of net premiums earned.
3


Reinsurance Segment
Three Months Ended June 30,
(U.S. dollars in thousands)20222021% Change
Gross premiums written$1,793,398 $1,358,020 32.1 
Net premiums written1,162,634 924,732 25.7 
Net premiums earned927,999 737,024 25.9 
Other underwriting income (loss)4,526 1,053 329.8 
Underwriting income (loss)$139,400 $95,974 45.2 
Underwriting Ratios% Point Change
Loss ratio57.9 %62.9 %(5.0)
Underwriting expense ratio27.5 %24.2 %3.3 
Combined ratio85.4 %87.1 %(1.7)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums7.1 %2.5 %4.6 
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(4.5)%(2.5)%(2.0)
Combined ratio excluding catastrophic activity and prior year development82.8 %87.1 %(4.3)
Gross premiums written by the reinsurance segment in the 2022 second quarter were 32.1% higher than in the 2021 second quarter, while net premiums written were 25.7% higher than in the 2021 second quarter. The growth in net premiums written reflected increases in other specialty, property catastrophe and property excluding property catastrophe lines, primarily related to rate increases, new business opportunities and growth in existing accounts. Net premiums earned by the reinsurance segment in the 2022 second quarter were 25.9% higher than in the 2021 second quarter, and reflect changes in net premiums written over the previous five quarters.
The 2022 second quarter loss ratio reflected 7.5 points of current year catastrophic activity, primarily due to a series of natural events outside the U.S., compared to 2.6 points of catastrophic activity in the 2021 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 5.0 points in the 2022 second quarter, compared to 2.8 points in the 2021 second quarter. The improvement in the 2022 second quarter loss ratio also reflected the impact of rate increases and changes in mix of business.
The underwriting expense ratio was 27.5% in the 2022 second quarter, compared to 24.2% in the 2021 second quarter, with the increase primarily resulting from growth in lines with higher acquisition costs and targeted personnel expansion to support our growth. This increase was partially offset by a higher level of net premiums earned.
4


Mortgage Segment
Three Months Ended June 30,
(U.S. dollars in thousands)20222021% Change
Gross premiums written$371,896 $391,511 (5.0)
Net premiums written293,748 335,846 (12.5)
Net premiums earned295,632 334,221 (11.5)
Other underwriting income(1,556)4,148 (137.5)
Underwriting income$298,369 $250,060 19.3 
Underwriting Ratios% Point Change
Loss ratio(21.9)%3.0 %(24.9)
Underwriting expense ratio20.4 %23.5 %(3.1)
Combined ratio(1.5)%26.5 %(28.0)
Prior year development:
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(40.7)%(13.1)%(27.6)
Combined ratio excluding prior year development39.2 %39.6 %(0.4)
Gross premiums written by the mortgage segment in the 2022 second quarter were 5.0% lower than in the 2021 second quarter, while net premiums written were 12.5% lower. The reduction in gross premiums written primarily reflected lower U.S. primary mortgage insurance single premium volume and a decrease in monthly premiums. Net premiums written for the 2022 second quarter reflected a higher level of premiums ceded than in the 2021 second quarter, while the reduction in net premiums earned also reflected a lower level of earnings from single premium policy terminations and a decline in monthly premiums.
Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 39.9 points, primarily related to the U.S. first lien portfolio from the 2020 accident year, compared to 12.9 points in the 2021 second quarter. The percentage of loans in default on U.S. primary mortgage insurance business was 1.77% at June 30, 2022, compared to 2.09% at March 31, 2022. The 2022 second quarter loss ratio also reflected the lower level of net premiums earned in the U.S. primary mortgage insurance business.
The underwriting expense ratio was 20.4% in the 2022 second quarter, compared to 23.5% in the 2021 second quarter, with the decrease primarily due to lower acquisition expenses on Australian mortgage insurance following the acquisition of Westpac LMI in the 2021 third quarter and profit commissions on business ceded related to favorable development of prior year loss reserves. Such amounts were partially offset by a lower level of net premiums earned in the U.S. primary mortgage insurance business.
5


Corporate Segment
The corporate segment results include net investment income, 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, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.
Pre-tax net investment income for the 2022 second quarter was $0.28 per share, or $106.4 million, reflecting the effects of higher interest rates available in the market, compared to $0.21 per share, or $80.4 million, for the 2022 first quarter, and $0.22 per share, or $89.4 million, for the 2021 second quarter. The annualized pre-tax investment income yield was 1.76% for the 2022 second quarter, compared to 1.34% for the 2022 first quarter and 1.47% for the 2021 second quarter. Total return, a non-GAAP measure, was -3.02% for the 2022 second quarter, compared to -3.07% for the 2022 first quarter and 1.58% for the 2021 second quarter. Total return for the 2022 periods primarily reflected the impact of rising interest rates. See ‘Comments on Regulation G’ for a discussion of non-GAAP financial measures.
Net realized gains or losses reflect sales of investments along with the impact of financial market movements on the Company’s investment portfolio, including realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets. On a pre-tax basis, net realized losses for the 2022 second quarter were $266.6 million, which included $109.9 million of mark-to-market losses on equity securities, compared to net realized gains of $163.4 million for the 2021 second quarter.
Interest expense for the 2022 second quarter was $32.8 million, compared to $31.4 million for the 2021 second quarter, and primarily reflects amounts related to the Company’s outstanding senior notes.
On a pre-tax basis, net foreign exchange gains for the 2022 second quarter were $87.8 million, compared to net foreign exchange losses for the 2021 second quarter of $17.9 million. For both periods, such amounts were primarily unrealized and resulted from the effects of revaluing the Company’s net insurance liabilities required to be settled in foreign currencies at each balance sheet date. Changes in the value of available-for-sale investments held in foreign currencies due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders’ equity and are not included in the consolidated statements of income. Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, the Company may elect to over or underweight one or more currencies from time to time, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity.
The Company’s effective tax rate on income before income taxes (based on the Company’s estimated annual effective tax rate) was 5.2% for the 2022 second quarter, compared to 7.0% for the 2021 second quarter. The Company’s effective tax rate on pre-tax operating income available to Arch common shareholders was 5.7% for the 2022 second quarter, compared to 7.6% for the 2021 second quarter. The Company’s effective tax rate may fluctuate from period to period based upon the relative mix of income or loss reported by jurisdiction, the level of catastrophic loss activity incurred, and the varying tax rates in each jurisdiction.
Income from operating affiliates for the 2022 second quarter was $4.6 million, or $0.01 per share, compared to $24.5 million, or $0.06 per share, for the 2021 second quarter, and primarily reflects amounts related to Company’s investment in Somers and Coface SA.
6


Conference Call
The Company will hold a conference call for investors and analysts at 11:00 a.m. Eastern Time on July 28, 2022. A live webcast of this call will be available via the Investors section of the Company’s website at http://www.archgroup.com/investors. A recording of the webcast will be available in the Investors section of the Company’s website approximately two hours after the event concludes and will be archived on the site for one year.
Please refer to the Company’s Financial Supplement dated June 30, 2022, which is available via the Investors section of the Company’s website at http://www.archgroup.com/investors. The Financial Supplement provides additional detail regarding the financial performance of the Company. From time to time, the Company posts additional financial information and presentations to its website, including information with respect to its subsidiaries. Investors and other recipients of this information are encouraged to check the Company’s website regularly for additional information regarding the Company.
Arch Capital Group Ltd., a publicly listed Bermuda exempted company with approximately $15.1 billion in capital at June 30, 2022, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
Comments on Regulation G
Throughout this release, 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 and that investors and such other persons benefit from having a consistent basis for comparison between quarters and for comparison with other companies within the industry. These measures may not, however, be comparable to similarly titled measures used by companies outside of the insurance industry. Investors are cautioned not to place undue reliance on these non-GAAP financial measures in assessing the Company’s overall financial performance.
This presentation includes the use of “after-tax operating income or loss 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, transaction costs and other and loss on redemption of preferred shares, 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 net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included on page 2 of this release.
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, transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, 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,
7


financing, legal, severance, incentive compensation and other costs related to acquisitions. 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. The loss on redemption of preferred shares related to the redemption of the Company's Series E preferred shares in September 2021 had no impact on shareholders' equity or cash flows. 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.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of its 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 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 subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown on the following pages.
Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income, income from operating affiliates and other corporate segment related items are not allocated to each underwriting segment. As noted earlier, the ‘other’ segment includes the results of Somers through June 30, 2021.
Along with consolidated underwriting income, the Company provides a subtotal of underwriting income or loss before the contribution from the ‘other’ segment and believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s underwriting performance in a manner similar to how the Company’s management analyzes performance. Pursuant to GAAP, Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers through June 30, 2021. As such, the Company consolidated the results of Somers in its consolidated financial statements. The Company’s presentation of information on a ‘core’ basis enabled 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 analyzed performance. In the 2020 fourth quarter, Arch, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch (“Greysbridge”), entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso & Company and 30% by certain investment funds managed by Warburg Pincus LLC. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements and footnotes.
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.
8


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.
The following tables summarize the Company’s results by segment for the 2022 second quarter and 2021 second quarter and a reconciliation of underwriting income or loss to income or loss before income taxes and net income or loss available to Arch common shareholders:
(U.S. Dollars in thousands)Three Months Ended
June 30, 2022
 InsuranceReinsuranceMortgageSub-totalOtherTotal
Gross premiums written (1)$1,705,167 $1,793,398 $371,896 $3,869,727 $— $3,869,727 
Premiums ceded(476,910)(630,764)(78,148)(1,185,088)— (1,185,088)
Net premiums written1,228,257 1,162,634 293,748 2,684,639 — 2,684,639 
Change in unearned premiums(126,113)(234,635)1,884 (358,864)— (358,864)
Net premiums earned1,102,144 927,999 295,632 2,325,775 — 2,325,775 
Other underwriting income (loss)— 4,526 (1,556)2,970 — 2,970 
Losses and loss adjustment expenses(629,759)(537,578)64,681 (1,102,656)— (1,102,656)
Acquisition expenses(213,688)(189,494)(10,137)(413,319)— (413,319)
Other operating expenses(161,088)(66,053)(50,251)(277,392)— (277,392)
Underwriting income (loss)$97,609 $139,400 $298,369 535,378 — 535,378 
Net investment income106,392 — 106,392 
Net realized gains (losses)(266,579)— (266,579)
Equity in net income (loss) of investment funds accounted for using the equity method58,061 — 58,061 
Other income (loss)(11,777)— (11,777)
Corporate expenses (2)(27,359)— (27,359)
Transaction costs and other (2)(261)— (261)
Amortization of intangible assets(27,207)— (27,207)
Interest expense(32,795)— (32,795)
Net foreign exchange gains (losses)87,775 — 87,775 
Income (loss) before income taxes and income (loss) from operating affiliates421,628 — 421,628 
Income tax expense(22,323)— (22,323)
Income (loss) from operating affiliates4,640 — 4,640 
Net income (loss)403,945 — 403,945 
Dividends attributable to redeemable noncontrolling interests399 — 399 
Net income (loss) available to Arch404,344 — 404,344 
Preferred dividends(10,184)— (10,184)
Net income (loss) available to Arch common shareholders$394,160 $— $394,160 
Underwriting Ratios
Loss ratio57.1 %57.9 %(21.9)%47.4 %— %47.4 %
Acquisition expense ratio19.4 %20.4 %3.4 %17.8 %— %17.8 %
Other operating expense ratio14.6 %7.1 %17.0 %11.9 %— %11.9 %
Combined ratio91.1 %85.4 %(1.5)%77.1 %— %77.1 %
Net premiums written to gross premiums written72.0 %64.8 %79.0 %69.4 %— %69.4 %
(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.
9


(U.S. Dollars in thousands)Three Months Ended
June 30, 2021
 InsuranceReinsuranceMortgageSub-totalOtherTotal
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(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 %
 
(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


Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of the Company 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, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this release and in the Company’s periodic reports filed with the Securities and Exchange Commission (the “SEC”), and include:
the Company’s ability to successfully implement its business strategy during “soft” as well as “hard” markets;
acceptance of the Company’s business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and its insureds and reinsureds;
the Company’s ability to consummate acquisitions and integrate any businesses it has acquired or may acquire into its existing operations;
the Company’s ability to maintain or improve its ratings, which may be affected by its ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets in which the Company operates;
competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms or other factors;
developments in the world’s financial and capital markets and the Company’s access to such markets;
the Company’s ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support its current and new business;
the loss and addition of key personnel;
material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
accuracy of those estimates and judgments utilized in the preparation of the Company’s financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting;
greater than expected loss ratios on business written by the Company and adverse development on claim and/or claim expense liabilities related to business written by its insurance and reinsurance subsidiaries;
the adequacy of the Company’s loss reserves;
severity and/or frequency of losses;
greater frequency or severity of unpredictable natural and man-made catastrophic events;
claims resulting from natural or man-made catastrophic events or severe economic events in the Company’s insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in the Company’s results of operations;
the effect of climate change on the Company’s business;
the effect of contagious diseases (including COVID-19) on the Company’s business;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
availability to the Company of reinsurance to manage its gross and net exposures and the cost of such reinsurance;
11


the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to the Company;
the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by the Company;
the Company’s investment performance, including legislative or regulatory developments that may adversely affect the fair value of the Company’s investments;
changes in general economic conditions, including new or continued sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect the Company’s business, financial condition and results of operations;
changes in the method for determining the London Inter-bank Offered Rate (“LIBOR”) and the replacement of LIBOR with alternative benchmark rates;
the volatility of the Company’s shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of the Company’s projected liabilities in foreign currencies with investments in the same currencies;
changes in accounting principles or policies or in the Company’s application of such accounting principles or policies;
changes in the political environment of certain countries in which the Company operates, underwrites business or invests;
a disruption caused by cyber-attacks or other technology breaches or failures on the Company or the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation;
statutory or regulatory developments, including as to tax policy matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to the Company, its subsidiaries, brokers or customers, including new guidance implementing the Tax Cuts and Jobs Act of 2017 and the possible implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiative; and
the other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of the Company’s Annual Report on Form 10-K, as well as the other factors set forth in the Company’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.

All subsequent written and oral forward-looking statements attributable to the Company or persons acting on its behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. 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.

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

12
EX-99.2 3 ex-992supplement63022.htm EX-99.2 Document

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

Financial Supplement

Financial Information
as of June 30, 2022
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only. It should be read in conjunction with documents filed by Arch 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.archgroup.com for further information describing Arch.


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, 2021 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 Somers Group Holdings Ltd. (formerly Watford Holdings Ltd.), (“Somers”). In accordance with GAAP, the Company consolidated the results of Somers in its financial statements. Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers, through June 30, 2021. As such, 100% of the results of Somers were included in the Company’s consolidated financial statements as of and for the periods ended June 30, 2021. The portion of Somers’ earnings owned by third parties was recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ In addition, through June 30, 2021 the Company reflected Somers’ redeemable preference shares in the mezzanine section of the Company’s consolidated balance sheets as ‘redeemable noncontrolling interests’. In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it will retain significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements and footnotes.

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 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 and addition 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 replacement of LIBOR with alternative benchmark rates 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,
20222021Change20222021Change
Underwriting results:
Gross premiums written$3,869,727 $3,117,505 24.1 %$7,670,502 $6,394,798 19.9 %
Net premiums written2,684,639 2,224,133 20.7 %5,318,779 4,553,279 16.8 %
Net premiums earned2,325,775 1,936,672 20.1 %4,446,408 3,737,363 19.0 %
Underwriting income (loss) (2)535,378 395,387 35.4 %992,971 594,384 67.1 %
Loss ratio47.4 %52.6 %(5.2)47.3 %56.3 %(9.0)
Acquisition expense ratio17.8 %15.5 %2.3 17.8 %15.4 %2.4 
Other operating expense ratio11.9 %11.7 %0.2 12.8 %12.7 %0.1 
Combined ratio77.1 %79.8 %(2.7)77.9 %84.4 %(6.5)
Net investment income$106,392 $89,430 19.0 %$186,828 $168,159 11.1 %
Per diluted share$0.28 $0.22 27.3 %$0.49 $0.41 19.5 %
Net income available to Arch common shareholders$394,160 $663,820 (40.6)%$579,776 $1,091,573 (46.9)%
Per diluted share$1.04 $1.63 (36.2)%$1.52 $2.68 (43.3)%
After-tax operating income available to Arch common shareholders (2)$506,496 $407,216 24.4 %$928,495 $646,985 43.5 %
Per diluted share$1.34 $1.00 34.0 %$2.44 $1.59 53.5 %
Comprehensive income (loss) available to Arch$(204,476)$699,705 (129.2)%$(593,521)$854,794 (169.4)%
Net cash provided by operating activities$902,405 $809,790 11.4 %$1,453,968 $1,565,718 (7.1)%
Weighted average common shares and common share equivalents outstanding — diluted377,952,988 406,485,994 (7.0)%380,905,512 407,687,680 (6.6)%
Financial measures:      
Change in book value per common share during period(2.5)%4.8 %(7.3)(6.5)%5.6 %(12.1)
Annualized net income return on average common equity13.3 %21.2 %(7.9)9.5 %17.4 %(7.9)
Annualized operating return on average common equity (2)17.1 %13.0 %4.1 15.3 %10.3 %5.0 
Total return on investments (3)(3.02)%1.58 %-460 bps(6.00)%1.39 %-739 bps
 
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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 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,
 2022202220212021202120222021
Revenues       
Net premiums earned$2,325,775 $2,120,633 $2,083,630 $1,929,337 $2,120,909 $4,446,408 $4,069,331 
Net investment income106,392 80,436 90,454 88,195 111,613 186,828 210,469 
Net realized gains (losses)(266,579)(292,414)59,517 (25,040)202,907 (558,993)345,368 
Other underwriting income2,970 5,897 3,160 7,274 5,529 8,867 11,639 
Equity in net income (loss) of investment funds accounted for using the equity method58,061 36,305 67,132 105,398 122,186 94,366 193,872 
Other income (loss)(11,777)(9,025)9,093 (3,960)6,852 (20,802)5,111 
Total revenues2,214,842 1,941,832 2,312,986 2,101,204 2,569,996 4,156,674 4,835,790 
Expenses
Losses and loss adjustment expenses(1,102,656)(1,000,835)(995,853)(1,226,019)(1,159,831)(2,103,491)(2,362,931)
Acquisition expenses(413,319)(378,159)(357,539)(306,015)(335,143)(791,478)(639,624)
Other operating expenses(277,392)(289,943)(261,787)(230,832)(244,943)(567,335)(505,976)
Corporate expenses(27,620)(32,332)(18,150)(19,672)(15,951)(59,952)(41,335)
Amortization of intangible assets(27,207)(27,167)(33,132)(20,135)(15,286)(54,374)(29,688)
Interest expense(32,795)(32,708)(32,248)(33,176)(35,700)(65,503)(74,046)
Net foreign exchange gains (losses)87,775 3,845 3,163 36,078 (17,775)91,620 2,288 
Total expenses(1,793,214)(1,757,299)(1,695,546)(1,799,771)(1,824,629)(3,550,513)(3,651,312)
Income (loss) before income taxes and income (loss) from operating affiliates421,628 184,533 617,440 301,433 745,367 606,161 1,184,478 
Income tax expense(22,323)(11,619)(34,406)(4,137)(51,179)(33,942)(90,039)
Income (loss) from operating affiliates4,640 24,518 40,641 124,119 24,476 29,158 99,933 
Net income (loss)403,945 197,432 623,675 421,415 718,664 601,377 1,194,372 
Net (income) loss attributable to noncontrolling interests399 (1,632)(410)(1,473)(43,178)(1,233)(80,730)
Net income (loss) attributable to Arch404,344 195,800 623,265 419,942 675,486 600,144 1,113,642 
Preferred dividends(10,184)(10,184)(10,184)(16,090)(11,666)(20,368)(22,069)
Loss on redemption of preferred shares— — — (15,101)— — — 
Net income (loss) available to Arch common shareholders$394,160 $185,616 $613,081 $388,751 $663,820 $579,776 $1,091,573 
Comprehensive income (loss) available to Arch$(204,476)$(389,045)$509,482 $239,078 $699,705 $(593,521)$854,794 
Net income (loss) per common share and common share equivalent
Basic$1.07 $0.50 $1.62 $1.00 $1.67 $1.56 $2.73 
Diluted$1.04 $0.48 $1.58 $0.98 $1.63 $1.52 $2.68 
Weighted average common shares and common share equivalents outstanding
Basic369,241,193 374,243,812 379,431,442 389,274,220 397,743,402 371,728,683 399,267,183 
Diluted377,952,988 384,194,363 388,869,378 397,903,347 406,485,994 380,905,512 407,687,680 



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,
20222022202120212021
Assets     
Investments:     
Fixed maturities available for sale, at fair value$17,585,029 $17,648,853 $17,998,109 $16,768,363 $18,073,779 
Short-term investments available for sale, at fair value2,227,874 2,332,624 1,734,716 3,069,965 2,248,613 
Collateral received under securities lending, at fair value— — — — 172,116 
Equity securities, at fair value772,689 1,002,572 1,804,170 1,790,640 1,693,552 
Other investments1,634,368 1,686,666 1,973,550 2,043,970 4,571,497 
Investments accounted for using the equity method3,496,341 3,325,543 3,077,611 2,741,293 2,539,124 
Total investments25,716,301 25,996,258 26,588,156 26,414,231 29,298,681 
Cash813,548 812,917 858,668 1,137,721 1,234,059 
Accrued investment income116,102 82,607 85,453 75,832 96,546 
Securities pledged under securities lending, at fair value— — — — 168,548 
Investment in operating affiliates967,603 1,144,255 1,135,655 1,111,825 731,810 
Premiums receivable3,634,182 3,223,504 2,633,280 2,807,720 2,866,578 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses5,938,511 5,941,000 5,880,735 5,358,852 4,314,515 
Contractholder receivables1,758,018 1,810,199 1,828,691 1,824,990 1,882,948 
Ceded unearned premiums2,123,915 1,951,960 1,729,455 1,824,910 1,541,093 
Deferred acquisition costs1,069,845 1,001,866 901,841 893,665 1,013,657 
Receivable for securities sold157,329 116,633 60,179 84,019 309,234 
Goodwill and intangible assets868,014 926,427 944,983 963,322 667,153 
Other assets2,555,826 2,670,315 2,453,849 2,286,649 2,357,064 
Total assets$45,719,194 $45,677,941 $45,100,945 $44,783,736 $46,481,886 
Liabilities     
Reserve for losses and loss adjustment expenses$18,194,324 $18,109,107 $17,757,156 $17,331,047 $17,196,648 
Unearned premiums7,145,297 6,737,779 6,011,942 6,165,114 6,011,369 
Reinsurance balances payable1,634,700 1,510,906 1,583,253 1,403,929 1,079,106 
Contractholder payables1,761,023 1,813,930 1,832,127 1,828,474 1,887,418 
Collateral held for insured obligations251,063 244,502 242,352 254,259 235,618 
Senior notes2,724,896 2,724,642 2,724,394 2,724,149 2,861,728 
Revolving credit agreement borrowings— — — — 155,687 
Securities lending payable— — — — 172,109 
Payable for securities purchased292,106 176,452 64,850 357,531 586,881 
Other liabilities1,289,760 1,431,271 1,329,742 1,321,470 1,332,843 
Total liabilities33,293,169 32,748,589 31,545,816 31,385,973 31,519,407 
Redeemable noncontrolling interests8,459 9,763 9,233 10,237 57,533 
Shareholders’ equity     
Non-cumulative preferred shares830,000 830,000 830,000 830,000 1,280,000 
Common shares652 651 648 648 647 
Additional paid-in capital2,170,661 2,134,241 2,085,075 2,061,906 2,028,919 
Retained earnings15,035,644 14,641,484 14,455,868 13,842,787 13,454,036 
Accumulated other comprehensive income (loss), net of deferred income tax(1,258,265)(649,445)(64,600)49,184 230,048 
Common shares held in treasury, at cost(4,361,126)(4,037,342)(3,761,095)(3,396,999)(3,007,578)
Total shareholders’ equity available to Arch12,417,566 12,919,589 13,545,896 13,387,526 13,986,072 
Non-redeemable noncontrolling interests— — — — 918,874 
Total shareholders’ equity12,417,566 12,919,589 13,545,896 13,387,526 14,904,946 
Total liabilities, noncontrolling interests and shareholders’ equity$45,719,194 $45,677,941 $45,100,945 $44,783,736 $46,481,886 
Common shares and common share equivalents outstanding, net of treasury shares369,346,815 375,730,891 378,923,894 387,257,752 396,771,251 
Book value per common share (1)$31.37 $32.18 $33.56 $32.43 $32.02 
(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,
 2022202220212021202120222021
Non-cumulative preferred shares       
Balance at beginning of period$830,000 $830,000 $830,000 $1,280,000 $780,000 $830,000 $780,000 
Preferred shares issued— — — — 500,000 — 500,000 
Preferred shares redeemed— — — (450,000)— — — 
Balance at beginning and end of period$830,000 $830,000 $830,000 $830,000 $1,280,000 $830,000 $1,280,000 
Common shares
Balance at beginning of period651 648 648 647 645 648 643 
Common shares issued, net— 
Balance at end of period652 651 648 648 647 652 647 
Additional paid-in capital
Balance at beginning of period2,134,241 2,085,075 2,061,906 2,028,919 2,014,741 2,085,075 1,977,794 
Issue costs on preferred shares— — — — (14,179)— (14,179)
Reversal of original issue costs on redeemed preferred shares— — — 15,101 — — — 
Amortization of share-based compensation21,137 45,368 14,774 14,216 16,490 66,505 57,063 
All other15,283 3,798 8,395 3,670 11,867 19,081 8,241 
Balance at end of period2,170,661 2,134,241 2,085,075 2,061,906 2,028,919 2,170,661 2,028,919 
Retained earnings
Balance at beginning of period14,641,484 14,455,868 13,842,787 13,454,036 12,790,216 14,455,868 12,362,463 
Net income403,945 197,432 623,675 421,415 718,664 601,377 1,194,372 
Amounts attributable to noncontrolling interests399 (1,632)(410)(1,473)(43,178)(1,233)(80,730)
Preferred share dividends(10,184)(10,184)(10,184)(16,090)(11,666)(20,368)(22,069)
Loss on redemption of preferred shares— — — (15,101)— — — 
Balance at end of period15,035,644 14,641,484 14,455,868 13,842,787 13,454,036 15,035,644 13,454,036 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period(649,445)(64,600)49,184 230,048 205,827 (64,600)488,895 
Change in unrealized appreciation (decline) in value of available-for-sale investments(540,295)(582,077)(103,391)(147,825)17,991 (1,122,372)(236,593)
Change in foreign currency translation adjustments(68,525)(2,768)(10,393)(33,039)6,230 (71,293)(22,254)
Balance at end of period(1,258,265)(649,445)(64,600)49,184 230,048 (1,258,265)230,048 
Common shares held in treasury, at cost
Balance at beginning of period(4,037,342)(3,761,095)(3,396,999)(3,007,578)(2,694,957)(3,761,095)(2,503,909)
Shares repurchased for treasury(323,784)(276,247)(364,096)(389,421)(312,621)(600,031)(503,669)
Balance at end of period(4,361,126)(4,037,342)(3,761,095)(3,396,999)(3,007,578)(4,361,126)(3,007,578)
Total shareholders’ equity available to Arch12,417,566 12,919,589 13,545,896 13,387,526 13,986,072 12,417,566 13,986,072 
Non-redeemable noncontrolling interests— — — — 918,874 — 918,874 
Total shareholders’ equity$12,417,566 $12,919,589 $13,545,896 $13,387,526 $14,904,946 $12,417,566 $14,904,946 

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,
2022202220212021202120222021
Operating Activities       
Net income (loss)$403,945 $197,432 $623,675 $421,415 $718,664 $601,377 $1,194,372 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses266,060 289,213 (60,054)11,736 (218,042)555,273 (379,049)
Equity in net (income) or loss of investment. funds accounted for using the equity method and other income or loss55,235 (11,420)(91,400)(191,622)(45,089)43,815 (181,028)
Amortization of intangible assets27,207 27,167 33,132 20,135 15,286 54,374 29,688 
Share-based compensation21,139 45,379 14,791 14,739 16,752 66,518 57,564 
Changes in:
Reserve for losses and loss adjustment expenses, net358,528 275,954 213,979 599,706 388,352 634,482 948,505 
Unearned premiums, net358,864 513,507 (49,203)146,592 278,615 872,371 838,650 
Premiums receivable(485,099)(600,691)161,884 (65,707)(173,141)(1,085,790)(781,391)
Deferred acquisition costs(76,912)(96,999)(15,277)(33,073)(88,192)(173,911)(214,893)
Reinsurance balances payable146,117 (74,022)(118,506)287,110 91,255 72,095 331,461 
Other items, net(172,679)(13,957)86,983 (196,052)(134,733)(186,636)(231,307)
Net cash provided by operating activities902,405 551,563 800,004 1,014,979 849,727 1,453,968 1,612,572 
Investing Activities       
Purchases of fixed maturity investments(2,978,292)(6,727,665)(5,581,835)(6,315,639)(12,023,416)(9,705,957)(23,554,384)
Purchases of equity securities(246,958)(408,615)(196,529)(358,177)(311,355)(655,573)(620,774)
Purchases of other investments(303,725)(616,659)(509,040)(316,922)(602,173)(920,384)(1,033,134)
Proceeds from sales of fixed maturity investments2,025,616 6,053,352 3,509,653 6,937,404 12,213,254 8,078,968 23,130,388 
Proceeds from sales of equity securities389,956 1,100,256 222,512 153,343 257,304 1,490,212 542,290 
Proceeds from sales, redemptions and maturities of other investments292,992 570,341 277,614 715,370 448,958 863,333 772,549 
Proceeds from redemptions and maturities of fixed maturity investments203,320 240,753 394,343 428,576 384,794 444,073 805,836 
Net settlements of derivative instruments(42,328)(2,510)27,758 (85,116)(30,374)(44,838)17,286 
Net (purchases) sales of short-term investments70,760 (510,752)1,338,070 (794,712)(967,261)(439,992)(378,086)
Change in cash collateral related to securities lending— — — 826 (826)— (826)
Purchase of operating affiliate, net— — — (207,567)— — (546,349)
Impact of the deconsolidation of a variable interest entity— — — (349,202)— — — 
Purchases of fixed assets(12,060)(11,770)(6,987)(10,822)(11,095)(23,830)(23,585)
Other97,836 550 (162,007)(156,968)41,701 98,386 (204,889)
Net cash provided by (used for) investing activities(502,883)(312,719)(686,448)(359,606)(600,489)(815,602)(1,093,678)
Financing Activities       
Proceeds from issuance of preferred shares, net— — — — 485,821 — 485,821 
Redemption of preferred shares— — — (450,000)— — — 
Purchases of common shares under share repurchase program(320,688)(254,988)(362,097)(386,882)(306,049)(575,676)(485,315)
Proceeds from common shares issued, net13,195 (17,260)6,137 96 10,193 (4,065)185 
Change in cash collateral related to securities lending— — — (826)826 — 826 
Change in third party investment in non-redeemable noncontrolling interests— — — — — — 15,971 
Dividends paid to redeemable noncontrolling interests— — — — (959)— (1,907)
Other(130,866)48,859 18,474 (49,391)29,587 (82,007)27,639 
Preferred dividends paid(10,184)(10,184)(10,184)(17,291)(10,402)(20,368)(20,805)
Net cash provided by (used for) financing activities(448,543)(233,573)(347,670)(904,294)209,017 (682,116)22,415 
Effects of exchange rate changes on foreign currency cash and restricted cash(38,866)(3,924)(24)(20,633)(7,306)(42,790)(13,390)
Increase (decrease) in cash and restricted cash(87,887)1,347 (234,138)(269,554)450,949 (86,540)527,919 
Cash and restricted cash, beginning of period1,316,118 1,314,771 1,548,909 1,818,463 1,367,514 1,314,771 1,290,544 
Cash and restricted cash, end of period$1,228,231 $1,316,118 $1,314,771 $1,548,909 $1,818,463 $1,228,231 $1,818,463 
Income taxes paid (received)$119,616 $9,005 $84,371 $61,343 $133,997 $128,621 $141,096 
Interest paid$63,948 $648 $63,498 $1,104 $73,711 $64,596 $74,699 
Net cash provided by operating activities, excluding the ‘other’ segment$902,405 $551,563 $800,004 $1,014,979 $809,790 $1,453,968 $1,565,718 
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 segment. 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, the Chief Financial Officer and Treasurer of Arch and the President and Chief Underwriting Officer of Arch. 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, cyber insurance, 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. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
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 for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered 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 personal lines and/or 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 either a treaty or facultative basis.
Other: includes life reinsurance business, 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 underwriting units which offer mortgage insurance and reinsurance products on a worldwide basis. Underwriting units include:
U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes Arch Mortgage Guaranty Company, which is not a government sponsored enterprise “GSE” approved entity.
U.S. credit risk transfer (CRT) and other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
Corporate Segment
The corporate segment results include net investment income, 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, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.
Other Segment
Through June 30, 2021, the ‘other’ segment included the results of Somers. Pursuant to GAAP, Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers. As such, the Company consolidated the results of Somers in its consolidated financial statements through June 30, 2021. The portion of Somers’ earnings attributable to third party investors was 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. In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements.

9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
June 30, 2022
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,705,167 $1,793,398 $371,896 $3,869,727 $— $3,869,727 
Premiums ceded(476,910)(630,764)(78,148)(1,185,088)— (1,185,088)
Net premiums written1,228,257 1,162,634 293,748 2,684,639 — 2,684,639 
Change in unearned premiums(126,113)(234,635)1,884 (358,864)— (358,864)
Net premiums earned1,102,144 927,999 295,632 2,325,775 — 2,325,775 
Other underwriting income (loss)— 4,526 (1,556)2,970 — 2,970 
Losses and loss adjustment expenses(629,759)(537,578)64,681 (1,102,656)— (1,102,656)
Acquisition expenses(213,688)(189,494)(10,137)(413,319)— (413,319)
Other operating expenses(161,088)(66,053)(50,251)(277,392)— (277,392)
Underwriting income (loss)$97,609 $139,400 $298,369 535,378 — 535,378 
Net investment income106,392 — 106,392 
Net realized gains (losses)(266,579)— (266,579)
Equity in net income (loss) of investment funds accounted for using the equity method58,061 — 58,061 
Other income (loss)(11,777)— (11,777)
Corporate expenses (2)(27,359)— (27,359)
Transaction costs and other (2)(261)— (261)
Amortization of intangible assets(27,207)— (27,207)
Interest expense(32,795)— (32,795)
Net foreign exchange gains (losses)87,775 — 87,775 
Income (loss) before income taxes and income (loss) from operating affiliates421,628 — 421,628 
Income tax (expense) benefit(22,323)— (22,323)
Income (loss) from operating affiliates4,640 — 4,640 
Net income (loss)403,945 — 403,945 
Dividends attributable to redeemable noncontrolling interests399 — 399 
Net income (loss) available to Arch404,344 — 404,344 
Preferred dividends(10,184)— (10,184)
Net income (loss) available to Arch common shareholders$394,160 $— $394,160 
Underwriting Ratios
Loss ratio57.1 %57.9 %(21.9)%47.4 %— %47.4 %
Acquisition expense ratio19.4 %20.4 %3.4 %17.8 %— %17.8 %
Other operating expense ratio14.6 %7.1 %17.0 %11.9 %— %11.9 %
Combined ratio91.1 %85.4 %(1.5)%77.1 %— %77.1 %
Net premiums written to gross premiums written72.0 %64.8 %79.0 %69.4 %— %69.4 %
Total investable assets$26,395,072 $— $26,395,072 
Total assets45,719,194 — 45,719,194 
Total liabilities33,293,169 — 33,293,169 
(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, 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.
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Six Months Ended
June 30, 2022
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$3,424,772 $3,512,340 $736,735 $7,670,502 $— $7,670,502 
Premiums ceded(989,619)(1,210,582)(154,867)(2,351,723)— (2,351,723)
Net premiums written2,435,153 2,301,758 581,868 5,318,779 — 5,318,779 
Change in unearned premiums(306,313)(569,359)3,301 (872,371)— (872,371)
Net premiums earned2,128,840 1,732,399 585,169 4,446,408 — 4,446,408 
Other underwriting income (loss)— 5,362 3,505 8,867 — 8,867 
Losses and loss adjustment expenses(1,230,498)(992,278)119,285 (2,103,491)— (2,103,491)
Acquisition expenses(409,338)(361,490)(20,650)(791,478)— (791,478)
Other operating expenses(327,913)(135,829)(103,593)(567,335)— (567,335)
Underwriting income (loss)$161,091 $248,164 $583,716 992,971 — 992,971 
Net investment income186,828 — 186,828 
Net realized gains (losses)(558,993)— (558,993)
Equity in net income (loss) of investment funds accounted for using the equity method94,366 — 94,366 
Other income (loss)(20,802)— (20,802)
Corporate expenses (2)(59,294)— (59,294)
Transaction costs and other (2)(658)— (658)
Amortization of intangible assets(54,374)— (54,374)
Interest expense(65,503)— (65,503)
Net foreign exchange gains (losses)91,620 — 91,620 
Income (loss) before income taxes and income (loss) from operating affiliates606,161 — 606,161 
Income tax (expense) benefit(33,942)— (33,942)
Income (loss) from operating affiliates29,158 — 29,158 
Net income (loss)601,377 — 601,377 
Dividends attributable to redeemable noncontrolling interests(1,233)— (1,233)
Net income (loss) available to Arch600,144 — 600,144 
Preferred dividends(20,368)— (20,368)
Net income (loss) available to Arch common shareholders$579,776 $— $579,776 
Underwriting Ratios
Loss ratio57.8 %57.3 %(20.4)%47.3 %— %47.3 %
Acquisition expense ratio19.2 %20.9 %3.5 %17.8 %— %17.8 %
Other operating expense ratio15.4 %7.8 %17.7 %12.8 %— %12.8 %
Combined ratio92.4 %86.0 %0.8 %77.9 %— %77.9 %
Net premiums written to gross premiums written71.1 %65.5 %79.0 %69.3 %— %69.3 %
 
(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, 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.

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,
 2022202220212021202120222021
Gross premiums written$1,705,167 $1,719,605 $1,486,362 $1,596,619 $1,368,867 $3,424,772 $2,784,753 
Premiums ceded(476,910)(512,709)(450,376)(442,806)(405,312)(989,619)(826,359)
Net premiums written1,228,257 1,206,896 1,035,986 1,153,813 963,555 2,435,153 1,958,394 
Change in unearned premiums(126,113)(180,200)(33,089)(215,143)(98,128)(306,313)(273,493)
Net premiums earned1,102,144 1,026,696 1,002,897 938,670 865,427 2,128,840 1,684,901 
Losses and loss adjustment expenses(629,759)(600,739)(594,108)(668,630)(545,880)(1,230,498)(1,081,627)
Acquisition expenses(213,688)(195,650)(188,724)(152,467)(136,852)(409,338)(265,074)
Other operating expenses(161,088)(166,825)(149,520)(138,931)(133,342)(327,913)(270,455)
Underwriting income (loss)$97,609 $63,482 $70,545 $(21,358)$49,353 $161,091 $67,745 
Underwriting Ratios
Loss ratio57.1 %58.5 %59.2 %71.2 %63.1 %57.8 %64.2 %
Acquisition expense ratio19.4 %19.1 %18.8 %16.2 %15.8 %19.2 %15.7 %
Other operating expense ratio14.6 %16.2 %14.9 %14.8 %15.4 %15.4 %16.1 %
Combined ratio91.1 %93.8 %92.9 %102.2 %94.3 %92.4 %96.0 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums1.5 %3.1 %2.0 %12.2 %3.2 %2.3 %4.1 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(0.4)%(0.1)%(0.3)%(0.5)%(0.3)%(0.3)%(0.5)%
Combined ratio excluding catastrophic activity and prior year development (1)90.0 %90.8 %91.2 %90.5 %91.4 %90.4 %92.4 %
Net premiums written to gross premiums written72.0 %70.2 %69.7 %72.3 %70.4 %71.1 %70.3 %
 
(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,
 2022202220212021202120222021
Net premiums written
Professional lines (1)$349,402 28.4 %$347,841 28.8 %$373,752 36.1 %$310,185 26.9 %$254,961 26.5 %$697,243 28.6 %$493,207 25.2 %
Property, energy, marine and aviation258,765 21.1 %210,221 17.4 %177,632 17.1 %215,062 18.6 %207,762 21.6 %468,986 19.3 %378,260 19.3 %
Programs163,339 13.3 %129,401 10.7 %92,002 8.9 %196,048 17.0 %149,373 15.5 %292,740 12.0 %307,774 15.7 %
Excess and surplus casualty (2) 120,509 9.8 %100,289 8.3 %101,199 9.8 %98,320 8.5 %74,346 7.7 %220,798 9.1 %159,939 8.2 %
Travel, accident and health105,970 8.6 %165,332 13.7 %79,176 7.6 %62,837 5.4 %71,071 7.4 %271,302 11.1 %163,377 8.3 %
Construction and national accounts87,615 7.1 %126,123 10.5 %78,956 7.6 %92,253 8.0 %77,579 8.1 %213,738 8.8 %212,371 10.8 %
Lenders products36,042 2.9 %25,232 2.1 %32,833 3.2 %38,905 3.4 %40,386 4.2 %61,274 2.5 %75,246 3.8 %
Other (3)106,615 8.7 %102,457 8.5 %100,436 9.7 %140,203 12.2 %88,077 9.1 %209,072 8.6 %168,220 8.6 %
Total$1,228,257 100.0 %$1,206,896 100.0 %$1,035,986 100.0 %$1,153,813 100.0 %$963,555 100.0 %$2,435,153 100.0 %$1,958,394 100.0 %
Underwriting location
United States$842,851 68.6 %$794,662 65.8 %$680,840 65.7 %$797,395 69.1 %$658,964 68.4 %$1,637,513 67.2 %$1,334,804 68.2 %
Europe316,363 25.8 %357,897 29.7 %292,591 28.2 %301,877 26.2 %254,602 26.4 %674,260 27.7 %530,724 27.1 %
Other69,043 5.6 %54,337 4.5 %62,555 6.0 %54,541 4.7 %49,989 5.2 %123,380 5.1 %92,866 4.7 %
Total$1,228,257 100.0 %$1,206,896 100.0 %$1,035,986 100.0 %$1,153,813 100.0 %$963,555 100.0 %$2,435,153 100.0 %$1,958,394 100.0 %
Net premiums earned
Professional lines (1)$314,115 28.5 %$289,813 28.2 %$280,041 27.9 %$249,007 26.5 %$214,098 24.7 %$603,928 28.4 %$413,769 24.6 %
Property, energy, marine and aviation192,410 17.5 %185,655 18.1 %189,813 18.9 %187,905 20.0 %167,716 19.4 %378,065 17.8 %324,975 19.3 %
Programs148,681 13.5 %139,809 13.6 %137,754 13.7 %137,299 14.6 %118,974 13.7 %288,490 13.6 %231,814 13.8 %
Excess and surplus casualty (2) 98,369 8.9 %90,761 8.8 %85,713 8.5 %84,048 9.0 %72,899 8.4 %189,130 8.9 %148,266 8.8 %
Travel, accident and health130,185 11.8 %104,630 10.2 %87,212 8.7 %56,102 6.0 %62,610 7.2 %234,815 11.0 %112,276 6.7 %
Construction and national accounts87,084 7.9 %86,148 8.4 %88,263 8.8 %94,523 10.1 %95,849 11.1 %173,232 8.1 %198,520 11.8 %
Lenders products27,594 2.5 %30,588 3.0 %34,451 3.4 %33,030 3.5 %46,396 5.4 %58,182 2.7 %86,477 5.1 %
Other (3)103,706 9.4 %99,292 9.7 %99,650 9.9 %96,756 10.3 %86,885 10.0 %202,998 9.5 %168,804 10.0 %
Total$1,102,144 100.0 %$1,026,696 100.0 %$1,002,897 100.0 %$938,670 100.0 %$865,427 100.0 %$2,128,840 100.0 %$1,684,901 100.0 %

(1)    Includes professional liability, cyber insurance, 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,
 2022202220212021202120222021
Gross premiums written$1,793,398 $1,718,942 $1,013,090 $1,251,760 $1,358,020 $3,512,340 $2,829,080 
Premiums ceded(630,764)(579,818)(303,949)(630,371)(433,288)(1,210,582)(905,236)
Net premiums written1,162,634 1,139,124 709,141 621,389 924,732 2,301,758 1,923,844 
Change in unearned premiums(234,635)(334,724)70,676 57,313 (187,708)(569,359)(541,920)
Net premiums earned927,999 804,400 779,817 678,702 737,024 1,732,399 1,381,924 
Other underwriting income (loss)4,526 836 521 3,293 1,053 5,362 (145)
Losses and loss adjustment expenses(537,578)(454,700)(430,180)(545,846)(463,823)(992,278)(948,693)
Acquisition expenses(189,494)(171,996)(155,694)(129,450)(133,585)(361,490)(251,610)
Other operating expenses(66,053)(69,776)(61,954)(45,647)(44,695)(135,829)(105,209)
Underwriting income (loss)$139,400 $108,764 $132,510 $(38,948)$95,974 $248,164 $76,267 
Underwriting Ratios
Loss ratio57.9 %56.5 %55.2 %80.4 %62.9 %57.3 %68.7 %
Acquisition expense ratio20.4 %21.4 %20.0 %19.1 %18.1 %20.9 %18.2 %
Other operating expense ratio7.1 %8.7 %7.9 %6.7 %6.1 %7.8 %7.6 %
Combined ratio85.4 %86.6 %83.1 %106.2 %87.1 %86.0 %94.5 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums7.1 %6.7 %6.7 %32.6 %2.5 %6.9 %11.9 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(4.5)%(2.8)%(6.4)%(9.6)%(2.5)%(3.7)%(3.1)%
Combined ratio excluding catastrophic activity and prior year development (1)82.8 %82.7 %82.8 %83.2 %87.1 %82.8 %85.7 %
Net premiums written to gross premiums written64.8 %66.3 %70.0 %49.6 %68.1 %65.5 %68.0 %
 
(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,
 2022202220212021202120222021
Net premiums written
Other specialty (1)$434,710 37.4 %$363,834 31.9 %$207,812 29.3 %$167,006 26.9 %$296,325 32.0 %$798,544 34.7 %$580,656 30.2 %
Property excluding property catastrophe299,042 25.7 %295,419 25.9 %225,127 31.7 %237,025 38.1 %249,101 26.9 %594,461 25.8 %541,934 28.2 %
Casualty (2)212,724 18.3 %266,455 23.4 %176,952 25.0 %187,066 30.1 %225,890 24.4 %479,179 20.8 %444,146 23.1 %
Property catastrophe154,451 13.3 %128,971 11.3 %35,536 5.0 %(7,125)(1.1)%87,642 9.5 %283,422 12.3 %204,849 10.6 %
Marine and aviation35,129 3.0 %51,817 4.5 %40,708 5.7 %19,159 3.1 %50,248 5.4 %86,946 3.8 %111,886 5.8 %
Other (3)26,578 2.3 %32,628 2.9 %23,006 3.2 %18,258 2.9 %15,526 1.7 %59,206 2.6 %40,373 2.1 %
Total$1,162,634 100.0 %$1,139,124 100.0 %$709,141 100.0 %$621,389 100.0 %$924,732 100.0 %$2,301,758 100.0 %$1,923,844 100.0 %
Underwriting location
Bermuda$589,169 50.7 %$541,312 47.5 %$340,108 48.0 %$221,336 35.6 %$477,609 51.6 %$1,130,481 49.1 %$995,850 51.8 %
United States286,925 24.7 %270,667 23.8 %201,079 28.4 %207,815 33.4 %211,509 22.9 %557,592 24.2 %419,610 21.8 %
Europe and other286,540 24.6 %327,145 28.7 %167,954 23.7 %192,238 30.9 %235,614 25.5 %613,685 26.7 %508,384 26.4 %
Total$1,162,634 100.0 %$1,139,124 100.0 %$709,141 100.0 %$621,389 100.0 %$924,732 100.0 %$2,301,758 100.0 %$1,923,844 100.0 %
Net premiums earned
Other specialty (1)$284,321 30.6 %$231,618 28.8 %$247,437 31.7 %$195,649 28.8 %$211,817 28.7 %$515,939 29.8 %$375,715 27.2 %
Property excluding property catastrophe266,545 28.7 %232,529 28.9 %235,731 30.2 %210,280 31.0 %202,780 27.5 %499,074 28.8 %390,562 28.3 %
Casualty (2)214,714 23.1 %197,858 24.6 %174,180 22.3 %159,697 23.5 %183,846 24.9 %412,572 23.8 %332,877 24.1 %
Property catastrophe94,679 10.2 %77,076 9.6 %55,453 7.1 %61,107 9.0 %76,167 10.3 %171,755 9.9 %164,178 11.9 %
Marine and aviation41,768 4.5 %42,192 5.2 %40,256 5.2 %29,818 4.4 %42,773 5.8 %83,960 4.8 %82,881 6.0 %
Other (3)25,972 2.8 %23,127 2.9 %26,760 3.4 %22,151 3.3 %19,641 2.7 %49,099 2.8 %35,711 2.6 %
Total$927,999 100.0 %$804,400 100.0 %$779,817 100.0 %$678,702 100.0 %$737,024 100.0 %$1,732,399 100.0 %$1,381,924 100.0 %
                        
(1)    Includes proportional motor, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture, political risk 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,
2022202220212021202120222021
Gross premiums written$371,896 $364,839 $364,134 $360,934 $391,511 $736,735 $782,757 
Premiums ceded(78,148)(76,719)(74,834)(60,207)(55,665)(154,867)(111,716)
Net premiums written293,748 288,120 289,300 300,727 335,846 581,868 671,041 
Change in unearned premiums1,884 1,417 11,616 11,238 (1,625)3,301 (503)
Net premiums earned295,632 289,537 300,916 311,965 334,221 585,169 670,538 
Other underwriting income (1)(1,556)5,061 2,639 3,981 4,148 3,505 11,045 
Losses and loss adjustment expenses64,681 54,604 28,435 (11,543)(9,880)119,285 (73,569)
Acquisition expenses(10,137)(10,513)(13,121)(24,098)(30,117)(20,650)(60,199)
Other operating expenses(50,251)(53,342)(50,313)(46,254)(48,312)(103,593)(97,443)
Underwriting income$298,369 $285,347 $268,556 $234,051 $250,060 $583,716 $450,372 
Underwriting Ratios
Loss ratio(21.9)%(18.9)%(9.4)%3.7 %3.0 %(20.4)%11.0 %
Acquisition expense ratio3.4 %3.6 %4.4 %7.7 %9.0 %3.5 %9.0 %
Other operating expense ratio17.0 %18.4 %16.7 %14.8 %14.5 %17.7 %14.5 %
Combined ratio(1.5)%3.1 %11.7 %26.2 %26.5 %0.8 %34.5 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(40.7)%(36.5)%(24.2)%(15.5)%(13.1)%(38.6)%(8.3)%
Combined ratio excluding prior year development (2)39.2 %39.6 %35.9 %41.7 %39.6 %39.4 %42.8 %
Net premiums written to gross premiums written79.0 %79.0 %79.4 %83.3 %85.8 %79.0 %85.7 %
Net premiums written by underwriting location
United States$201,166 $201,150 $210,988 $221,315 $234,645 $402,316 $482,174 
Other92,582 86,970 78,312 79,412 101,201 179,552 188,867 
Total$293,748 $288,120 $289,300 $300,727 $335,846 $581,868 $671,041 
United States %68.5 %69.8 %72.9 %73.6 %69.9 %69.1 %71.9 %
Other %31.5 %30.2 %27.1 %26.4 %30.1 %30.9 %28.1 %

(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, 2022March 31, 2022December 31, 2021September 30, 2021June 30, 2021
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance$291,952 59.8 %$283,484 59.7 %$280,945 61.0 %$280,379 61.3 %$277,887 65.8 %
U.S. credit risk transfer (CRT) and other (2)129,203 26.5 %122,189 25.8 %110,018 23.9 %108,203 23.6 %103,970 24.6 %
International mortgage insurance/reinsurance (3)67,082 13.7 %68,800 14.5 %69,655 15.1 %69,127 15.1 %40,580 9.6 %
Total$488,237 100.0 %$474,473 100.0 %$460,618 100.0 %$457,709 100.0 %$422,437 100.0 %
Risk In Force (RIF) (4)
U.S. primary mortgage insurance$74,258 85.0 %$71,699 84.3 %$70,619 84.3 %$70,320 84.8 %$69,587 90.3 %
U.S. credit risk transfer and other (2)6,037 6.9 %5,670 6.7 %5,120 6.1 %4,817 5.8 %4,706 6.1 %
International mortgage insurance/reinsurance (3)7,103 8.1 %7,709 9.1 %7,983 9.5 %7,803 9.4 %2,727 3.5 %
Total$87,398 100.0 %$85,078 100.0 %$83,722 100.0 %$82,940 100.0 %$77,020 100.0 %
Supplemental disclosures for U.S. primary mortgage insurance:
Total RIF by credit quality (FICO score):
>=740$45,612 61.4 %$43,509 60.7 %$42,451 60.1 %$41,927 59.6 %$41,156 59.1 %
680-73924,409 32.9 %23,827 33.2 %23,646 33.5 %23,732 33.7 %23,663 34.0 %
620-6793,942 5.3 %4,052 5.7 %4,196 5.9 %4,323 6.1 %4,401 6.3 %
<620295 0.4 %311 0.4 %326 0.5 %338 0.5 %367 0.5 %
Total$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %$70,320 100.0 %$69,587 100.0 %
Weighted average FICO score747 747 746 745 745 
Total RIF by Loan-To-Value (LTV):
95.01% and above$7,400 10.0 %$7,421 10.4 %$7,538 10.7 %$7,708 11.0 %$7,975 11.5 %
90.01% to 95.00%41,951 56.5 %39,882 55.6 %38,829 55.0 %38,378 54.6 %37,619 54.1 %
85.01% to 90.00%20,718 27.9 %20,183 28.1 %20,006 28.3 %19,980 28.4 %19,784 28.4 %
85.00% and below4,189 5.6 %4,213 5.9 %4,246 6.0 %4,254 6.0 %4,209 6.0 %
Total$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %$70,320 100.0 %$69,587 100.0 %
Weighted average LTV92.8 %92.8 %92.8 %92.8 %92.8 %
Total RIF by State:
California$6,077 8.2 %$5,781 8.1 %$5,559 7.9 %$5,451 7.8 %$5,324 7.7 %
Texas5,971 8.0 %5,733 8.0 %5,594 7.9 %5,590 7.9 %5,560 8.0 %
Florida3,301 4.4 %3,272 4.6 %3,303 4.7 %3,344 4.8 %3,367 4.8 %
Georgia3,109 4.2 %2,978 4.2 %2,902 4.1 %2,908 4.1 %2,886 4.1 %
North Carolina3,075 4.1 %2,964 4.1 %2,921 4.1 %2,921 4.2 %2,924 4.2 %
Illinois3,054 4.1 %2,955 4.1 %2,933 4.2 %2,920 4.2 %2,832 4.1 %
Minnesota2,980 4.0 %2,913 4.1 %2,916 4.1 %2,936 4.2 %2,973 4.3 %
Massachusetts2,684 3.6 %2,566 3.6 %2,537 3.6 %2,519 3.6 %2,459 3.5 %
Virginia2,634 3.5 %2,504 3.5 %2,446 3.5 %2,412 3.4 %2,372 3.4 %
Michigan2,558 3.4 %2,509 3.5 %2,492 3.5 %2,500 3.6 %2,509 3.6 %
Other38,815 52.3 %37,524 52.3 %37,016 52.4 %36,819 52.4 %36,381 52.3 %
Total$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %$70,320 100.0 %$69,587 100.0 %
Weighted average coverage (end of period RIF divided by IIF)25.4 %25.3 %25.1 %25.1 %25.0 %
U.S. mortgage insurance total RIF, net of reinsurance (5)$56,529 $54,792 $54,574 $54,847 $55,557 
Analysts’ persistency (6)71.3 %66.9 %62.4 %57.7 %54.8 %
Risk-to-capital ratio -- Arch MI U.S. (7)7.8:1 7.8:1 8.0:1 8.6:1 8.5:1
PMIER sufficiency ratio -- Arch MI U.S. (8)219 %205 %197 %195 %196 %

(1) The aggregate dollar amount of each insured mortgage loan’s current principal balance.(5) Total RIF for the U.S. mortgage insurance operations (see note 4) after external reinsurance.
(2) Includes all CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
(6) Represents the % of IIF at the beginning of a 12-mo. period that remained in force at the end of the period.
(3) International mortgage insurance and reinsurance with risk primarily located in Australia and to lesser extent Europe and Asia.
(7) Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for June 30, 2022).
(4) 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 or reinsurance transactions
(8) Calculated as available assets divided by required assets as defined within PMIERs (estimate for June 30, 2022). There was approximately $2.05 billion of excess available assets at June 30, 2022.
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, 2022March 31, 2022December 31, 2021September 30, 2021June 30, 2021
Supplemental disclosures for U.S. primary mortgage insurance:
Total new insurance written (NIW) (1)$23,499 $20,015 $22,544 $27,841 $28,372 
Total NIW by credit quality (FICO score):
>=740$16,121 68.6 %$13,152 65.7 %$14,349 63.6 %$17,514 62.9 %$19,240 67.8 %
680-7396,800 28.9 %6,254 31.2 %7,238 32.1 %9,012 32.4 %8,113 28.6 %
620-679576 2.5 %606 3.0 %957 4.2 %1,315 4.7 %1,019 3.6 %
<620— %— %— — %— — %— — %
  Total$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %$27,841 100.0 %$28,372 100.0 %
Total NIW by LTV:
95.01% and above$1,195 5.1 %$1,096 5.5 %$1,475 6.5 %$1,554 5.6 %$1,484 5.2 %
90.01% to 95.00%13,290 56.6 %10,778 53.8 %11,382 50.5 %14,240 51.1 %13,936 49.1 %
85.01% to 90.00%6,591 28.0 %5,733 28.6 %6,677 29.6 %8,394 30.1 %8,675 30.6 %
85.00% and below2,423 10.3 %2,408 12.0 %3,010 13.4 %3,653 13.1 %4,277 15.1 %
  Total$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %$27,841 100.0 %$28,372 100.0 %
Total NIW monthly vs. single:
Monthly$22,872 97.3 %$19,201 95.9 %$21,623 95.9 %$26,515 95.2 %$26,725 94.2 %
Single627 2.7 %814 4.1 %921 4.1 %1,326 4.8 %1,647 5.8 %
  Total$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %$27,841 100.0 %$28,372 100.0 %
Total NIW purchase vs. refinance:
Purchase$23,059 98.1 %$19,157 95.7 %$21,174 93.9 %$25,711 92.3 %$25,010 88.2 %
Refinance440 1.9 %858 4.3 %1,370 6.1 %2,130 7.7 %3,362 11.8 %
  Total$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %$27,841 100.0 %$28,372 100.0 %
Ending number of policies in force (PIF) (2)1,168,147 1,159,020 1,171,835 1,188,768 1,199,918 
Rollforward of insured loans in default:
Beginning delinquent number of loans24,270 27,645 31,770 37,319 46,914 
Plus: new notices7,978 8,835 9,071 8,068 7,425 
Less: cures(11,363)(12,030)(13,038)(13,410)(16,793)
Less: paid claims(193)(180)(158)(207)(227)
Ending delinquent number of loans (2)20,692 24,270 27,645 31,770 37,319 
Ending percentage of loans in default (2)1.77 %2.09 %2.36 %2.67 %3.11 %
Losses:
Number of claims paid193 180 158 207 227 
Total paid claims (in thousands)$5,626 $6,016 $8,131 $7,551 $8,415 
Average per claim (in thousands)$29.2 $33.4 $51.5 $36.5 $37.1 
Severity (3)72.3 %78.1 %83.0 %78.7 %80.3 %
Average case reserve per default (in thousands)$30.3 $28.4 $26.7 $23.5 $19.5 
(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, 2022December 31, 2021
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:
2012 and prior33.7 %$10,972 3.8 %$2,620 3.5 %8.15 %27.9 %$13,030 4.6 %$2,960 4.2 %8.48 %
20132.8 %3,446 1.2 %927 1.2 %2.19 %2.6 %4,206 1.5 %1,148 1.6 %2.63 %
20142.2 %4,129 1.4 %1,135 1.5 %2.74 %1.9 %4,822 1.7 %1,328 1.9 %3.14 %
20153.1 %7,167 2.5 %1,930 2.6 %2.12 %3.0 %8,703 3.1 %2,340 3.3 %2.67 %
20166.9 %11,866 4.1 %3,179 4.3 %2.52 %7.6 %14,344 5.1 %3,841 5.4 %3.29 %
201710.2 %10,745 3.7 %2,842 3.8 %3.28 %10.9 %13,128 4.7 %3,436 4.9 %4.09 %
201813.6 %11,494 3.9 %2,926 3.9 %4.04 %15.2 %14,046 5.0 %3,562 5.0 %5.28 %
201912.3 %21,384 7.3 %5,382 7.2 %2.31 %15.2 %25,841 9.2 %6,467 9.2 %3.13 %
202010.9 %73,516 25.2 %18,332 24.7 %0.84 %12.5 %82,502 29.4 %20,341 28.8 %0.97 %
20214.1 %94,557 32.4 %23,852 32.1 %0.08 %3.2 %100,323 35.7 %25,196 35.7 %0.29 %
20220.1 %42,676 14.6 %11,133 15.0 %0.50 %
Total100.0 %$291,952 100.0 %$74,258 100.0 %1.77 %100.0 %$280,945 100.0 %$70,619 100.0 %2.36 %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $608.9 million at June 30, 2022, compared to $710.7 million at December 31, 2021.
(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,
 2022202220212021202120222021
Gross premiums written$3,869,727 $3,800,775 $2,861,575 $3,207,415 $3,117,505 $7,670,502 $6,394,798 
Premiums ceded(1,185,088)(1,166,635)(827,148)(1,131,486)(893,372)(2,351,723)(1,841,519)
Net premiums written2,684,639 2,634,140 2,034,427 2,075,929 2,224,133 5,318,779 4,553,279 
Change in unearned premiums(358,864)(513,507)49,203 (146,592)(287,461)(872,371)(815,916)
Net premiums earned2,325,775 2,120,633 2,083,630 1,929,337 1,936,672 4,446,408 3,737,363 
Other underwriting income (loss)2,970 5,897 3,160 7,274 5,201 8,867 10,900 
Losses and loss adjustment expenses(1,102,656)(1,000,835)(995,853)(1,226,019)(1,019,583)(2,103,491)(2,103,889)
Acquisition expenses(413,319)(378,159)(357,539)(306,015)(300,554)(791,478)(576,883)
Other operating expenses(277,392)(289,943)(261,787)(230,832)(226,349)(567,335)(473,107)
Underwriting income (loss)$535,378 $457,593 $471,611 $173,745 $395,387 $992,971 $594,384 
Underwriting Ratios
Loss ratio47.4 %47.2 %47.8 %63.5 %52.6 %47.3 %56.3 %
Acquisition expense ratio17.8 %17.8 %17.2 %15.9 %15.5 %17.8 %15.4 %
Other operating expense ratio11.9 %13.7 %12.6 %12.0 %11.7 %12.8 %12.7 %
Combined ratio77.1 %78.7 %77.6 %91.4 %79.8 %77.9 %84.4 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums3.5 %4.0 %3.5 %17.4 %2.4 %3.8 %6.3 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(7.2)%(6.1)%(6.0)%(6.1)%(3.3)%(6.7)%(2.9)%
Combined ratio excluding catastrophic activity and prior year development (1)80.8 %80.8 %80.1 %80.1 %80.7 %80.8 %81.0 %
Components of losses and loss adjustment expenses incurred (1)
Paid losses and loss adjustment expenses$745,134 $727,011 $783,806 $626,291 $684,087 $1,472,145 $1,256,676 
Change in unpaid losses and loss adjustment expenses357,522 273,824 212,047 599,728 335,496 631,346 847,213 
Total losses and loss adjustment expenses$1,102,656 $1,000,835 $995,853 $1,226,019 $1,019,583 $2,103,491 $2,103,889 
Net premiums written to gross premiums written69.4 %69.3 %71.1 %64.7 %71.3 %69.3 %71.2 %
 
(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,
 2022202220212021202120222021
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments (1)
Net impact on underwriting results:
Insurance$(4,469)$(1,406)$(2,990)$(4,439)$(2,640)$(5,875)$(8,114)
Reinsurance(41,907)(22,383)(49,762)(65,439)(18,309)(64,290)(43,074)
Mortgage(120,201)(105,619)(72,865)(48,416)(43,883)(225,820)(55,375)
Total $(166,577)$(129,408)$(125,617)$(118,294)$(64,832)$(295,985)$(106,563)
Impact on losses and loss adjustment expenses:
Insurance$(6,711)$(7,271)$(3,115)$(5,066)$(3,998)$(13,982)$(8,055)
Reinsurance(46,422)(32,473)(59,219)(72,319)(20,476)(78,895)(47,285)
Mortgage(118,093)(102,068)(70,419)(45,124)(43,102)(220,161)(54,015)
Total$(171,226)$(141,812)$(132,753)$(122,509)$(67,576)$(313,038)$(109,355)
Impact on acquisition expenses:
Insurance$2,242 $5,865 $125 $627 $1,358 $8,107 $(59)
Reinsurance4,515 10,090 9,457 6,880 2,167 14,605 4,211 
Mortgage(2,108)(3,551)(2,446)(3,292)(781)(5,659)(1,360)
Total$4,649 $12,404 $7,136 $4,215 $2,744 $17,053 $2,792 
Impact on combined ratio:
Insurance(0.4)%(0.1)%(0.3)%(0.5)%(0.3)%(0.3)%(0.5)%
Reinsurance(4.5)%(2.8)%(6.4)%(9.6)%(2.5)%(3.7)%(3.1)%
Mortgage(40.7)%(36.5)%(24.2)%(15.5)%(13.1)%(38.6)%(8.3)%
Total (7.2)%(6.1)%(6.0)%(6.1)%(3.3)%(6.7)%(2.9)%
Impact on loss ratio:
Insurance(0.6)%(0.7)%(0.3)%(0.5)%(0.5)%(0.7)%(0.5)%
Reinsurance(5.0)%(4.0)%(7.6)%(10.7)%(2.8)%(4.6)%(3.4)%
Mortgage(39.9)%(35.3)%(23.4)%(14.5)%(12.9)%(37.6)%(8.1)%
Total(7.4)%(6.7)%(6.4)%(6.3)%(3.5)%(7.0)%(2.9)%
Impact on acquisition expense ratio:
Insurance0.2 %0.6 %0.0 %0.0 %0.2 %0.4 %0.0 %
Reinsurance0.5 %1.2 %1.2 %1.1 %0.3 %0.9 %0.3 %
Mortgage(0.8)%(1.2)%(0.8)%(1.0)%(0.2)%(1.0)%(0.2)%
Total 0.2 %0.6 %0.4 %0.2 %0.2 %0.3 %0.0 %
Estimated net losses incurred from current accident year catastrophic events (2)
Insurance$16,360 $31,855 $20,312 $114,433 $27,999 $48,215 $69,875 
Reinsurance66,021 53,977 51,966 221,431 18,467 119,998 164,846 
Total$82,381 $85,832 $72,278 $335,864 $46,466 $168,213 $234,721 
Impact on combined ratio:
Insurance1.5 %3.1 %2.0 %12.2 %3.2 %2.3 %4.1 %
Reinsurance7.1 %6.7 %6.7 %32.6 %2.5 %6.9 %11.9 %
Total3.5 %4.0 %3.5 %17.4 %2.4 %3.8 %6.3 %
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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.
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,
20222022202120212021
Investable assets (1) (2):
Fixed maturities available for sale, at fair value$17,585,029 66.6 %$17,648,853 66.0 %$17,998,109 65.6 %$16,768,363 61.5 %$17,448,357 63.9 %
Fixed maturities—fair value option (3)525,451 2.0 %426,187 1.6 %416,698 1.5 %414,007 1.5 %417,700 1.5 %
Fixed maturities pledged under securities lending agreements, at fair value— 0.0 %— 0.0 %— 0.0 %— 0.0 %156,056 0.6 %
Total fixed maturities18,110,480 68.6 %18,075,040 67.6 %18,414,807 67.1 %17,182,370 63.0 %18,022,113 66.0 %
Equity securities, at fair value772,689 2.9 %1,002,572 3.7 %1,804,170 6.6 %1,790,640 6.6 %1,595,929 5.8 %
Equity securities—fair value option (3)14,489 0.1 %21,300 0.1 %26,493 0.1 %24,523 0.1 %25,158 0.1 %
Equity securities pledged under securities lending agreements, at fair value— 0.0 %— 0.0 %— 0.0 %— 0.0 %12,492 0.0 %
Total equity securities787,178 3.0 %1,023,872 3.8 %1,830,663 6.7 %1,815,163 6.7 %1,633,579 6.0 %
Other investments—fair value option (3)1,054,771 4.0 %1,226,808 4.6 %1,432,553 5.2 %1,489,759 5.5 %1,512,317 5.5 %
Other investable assets (3)— 0.0 %— 0.0 %— 0.0 %— 0.0 %500,000 1.8 %
Total other investments1,054,771 4.0 %1,226,808 4.6 %1,432,553 5.2 %1,489,759 5.5 %2,012,317 7.4 %
Investments accounted for using the equity method (4)3,496,341 13.2 %3,325,543 12.4 %3,077,611 11.2 %2,741,293 10.0 %2,539,124 9.3 %
Short-term investments available for sale, at fair value2,227,874 8.4 %2,332,624 8.7 %1,734,716 6.3 %3,069,965 11.3 %2,248,613 8.2 %
Short-term investments—fair value option (3)39,657 0.2 %12,371 0.0 %97,806 0.4 %115,681 0.4 %131,403 0.5 %
Total short-term investments2,267,531 8.6 %2,344,995 8.8 %1,832,522 6.7 %3,185,646 11.7 %2,380,016 8.7 %
Cash813,548 3.1 %812,917 3.0 %858,668 3.1 %1,137,721 4.2 %884,857 3.2 %
Securities transactions entered into but not settled at the balance sheet date(134,777)(0.5)%(59,819)(0.2)%(4,671)0.0 %(273,512)(1.0)%(180,592)(0.7)%
Total investable assets held by the Company$26,395,072 100.0 %$26,749,356 100.0 %$27,442,153 100.0 %$27,278,440 100.0 %$27,291,414 100.0 %
Average effective duration (in years)2.94 2.93 2.70 2.68 2.31  
Average S&P/Moody’s credit ratings (5) AA-/Aa3  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA/Aa1  

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers. 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$— $— $— $— $349,202 
Investments accounted for using the fair value option— — — — 1,984,919 
Fixed maturities available for sale, at fair value— — — — 625,422 
Equity securities, at fair value— — — — 97,623 
Securities sold but not yet purchased— — — — (28,068)
Securities transactions entered into but not settled at the balance sheet date— — — — (97,055)
Total investable assets included in ‘other’ segment$— $— $— $— $2,932,043 
(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,
 2022202220212021202120222021
Composition of net investment income (1):       
Fixed maturities$105,342 $82,053 $74,846 $75,964 $77,709 $187,395 $156,726 
Equity securities (dividends)6,121 6,238 18,295 9,867 8,282 12,359 13,932 
Short-term investments4,120 2,575 3,325 1,858 972 6,695 1,616 
Other (2)7,984 12,076 12,712 19,114 21,026 20,060 36,585 
Gross investment income123,567 102,942 109,178 106,803 107,989 226,509 208,859 
Investment expenses(17,175)(22,506)(18,724)(18,608)(18,559)(39,681)(40,700)
Net investment income$106,392 $80,436 $90,454 $88,195 $89,430 $186,828 $168,159 
Per share$0.28 $0.21 $0.23 $0.22 $0.22 $0.49 $0.41 
Equity in net income (loss) of investment funds accounted for using the equity method58,061 36,305 67,132 105,398 122,186 94,366 193,872 
Per share$0.15 $0.09 $0.17 $0.26 $0.30 $0.25 $0.48 
Investment income yield, at amortized cost (1) (3):
Pre-tax1.76 %1.34 %1.46 %1.41 %1.47 %1.54 %1.40 %
After-tax1.49 %1.13 %1.27 %1.24 %1.30 %1.31 %1.23 %
Total return on investments (1) (4)(3.02)%(3.07)%0.39 %0.01 %1.58 %(6.00)%1.39 %

(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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 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, 2022
Corporates$7,811,262 $32,021 $(655,664)$(623,643)$(38,494)$8,473,399 92.2 %43.1 %
U.S. government and government agencies4,368,150 25,112 (240,786)(215,674)— 4,583,824 95.3 %24.1 %
Municipal bonds417,380 4,129 (18,936)(14,807)(298)432,485 96.5 %2.3 %
Non-U.S. government securities2,182,554 16,175 (163,724)(147,549)(1,335)2,331,438 93.6 %12.1 %
Asset-backed securities1,609,878 1,001 (80,267)(79,266)(14,689)1,703,833 94.5 %8.9 %
Commercial mortgage-backed securities1,023,088 1,533 (42,056)(40,523)(3,594)1,067,205 95.9 %5.6 %
Residential mortgage-backed securities698,168 4,427 (55,898)(51,471)— 749,639 93.1 %3.9 %
Total$18,110,480 $84,398 $(1,257,331)$(1,172,933)$(58,410)$19,341,823 93.6 %100.0 %
At December 31, 2021
Corporates$6,941,879 $104,170 $(69,194)$34,976 $(2,037)$6,908,940 100.5 %37.7 %
U.S. government and government agencies4,772,764 10,076 (45,967)(35,891)— 4,808,655 99.3 %25.9 %
Municipal bonds404,666 18,724 (1,409)17,315 (2)387,353 104.5 %2.2 %
Non-U.S. government securities2,144,079 54,048 (34,749)19,299 (82)2,124,862 100.9 %11.6 %
Asset-backed securities2,696,458 6,540 (11,108)(4,568)(708)2,701,734 99.8 %14.6 %
Commercial mortgage-backed securities1,046,484 1,740 (3,117)(1,377)(6)1,047,867 99.9 %5.7 %
Residential mortgage-backed securities408,477 2,825 (5,410)(2,585)(48)411,110 99.4 %2.2 %
Total$18,414,807 $198,123 $(170,954)$27,169 $(2,883)$18,390,521 100.1 %100.0 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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,
20222022202120212021
Credit quality distribution of total fixed maturities (2) (3):
U.S. government and government agencies (4)$4,892,483 27.0 %$4,981,102 27.6 %$5,063,191 27.5 %$4,830,467 28.1 %$5,221,296 29.0 %
AAA3,352,551 18.5 %3,171,975 17.5 %3,783,386 20.5 %3,257,679 19.0 %3,432,285 19.0 %
AA2,064,313 11.4 %2,222,236 12.3 %2,459,413 13.4 %2,217,452 12.9 %2,004,442 11.1 %
A3,464,240 19.1 %3,227,560 17.9 %2,943,594 16.0 %2,773,104 16.1 %3,268,661 18.1 %
BBB3,114,961 17.2 %3,181,195 17.6 %2,936,398 15.9 %2,807,788 16.3 %2,896,453 16.1 %
BB551,876 3.0 %564,762 3.1 %501,588 2.7 %522,357 3.0 %544,730 3.0 %
B367,275 2.0 %364,181 2.0 %371,747 2.0 %348,036 2.0 %330,639 1.8 %
Lower than B4,742 — %7,057 — %43,756 0.2 %43,751 0.3 %48,230 0.3 %
Not rated298,039 1.6 %354,972 2.0 %311,734 1.7 %381,736 2.2 %275,377 1.5 %
Total fixed maturities, at fair value$18,110,480 100.0 %$18,075,040 100.0 %$18,414,807 100.0 %$17,182,370 100.0 %$18,022,113 100.0 %
Maturity profile of total fixed maturities (2):
Due in one year or less$434,779 2.4 %$323,999 1.8 %$318,572 1.7 %$430,048 2.5 %$442,507 2.5 %
Due after one year through five years9,661,066 53.3 %9,756,481 54.0 %8,536,801 46.4 %8,035,751 46.8 %9,873,037 54.8 %
Due after five years through ten years4,261,397 23.5 %4,296,537 23.8 %4,807,858 26.1 %4,601,049 26.8 %4,185,053 23.2 %
Due after 10 years422,104 2.3 %535,301 3.0 %600,157 3.3 %437,895 2.5 %452,460 2.5 %
14,779,346 81.6 %14,912,318 82.5 %14,263,388 77.5 %13,504,743 78.6 %14,953,057 83.0 %
Mortgage-backed securities698,168 3.9 %416,138 2.3 %408,477 2.2 %405,797 2.4 %374,565 2.1 %
Commercial mortgage-backed securities1,023,088 5.6 %1,066,365 5.9 %1,046,484 5.7 %579,424 3.4 %267,574 1.5 %
Asset-backed securities1,609,878 8.9 %1,680,219 9.3 %2,696,458 14.6 %2,692,406 15.7 %2,426,917 13.5 %
Total fixed maturities, at fair value$18,110,480 100.0 %$18,075,040 100.0 %$18,414,807 100.0 %$17,182,370 100.0 %$18,022,113 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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,
20222022202120212021
Sector:
Industrials$2,928,443 37.5 %$2,990,553 39.1 %$3,082,440 44.4 %$3,227,049 47.6 %$3,873,768 52.5 %
Financials4,191,142 53.7 %4,054,531 53.0 %3,397,199 48.9 %3,132,330 46.2 %2,974,254 40.3 %
Utilities559,150 7.2 %460,793 6.0 %363,468 5.2 %381,737 5.6 %474,845 6.4 %
Covered bonds1,720 0.0 %1,870 0.0 %4,511 0.1 %2,661 0.0 %3,022 0.0 %
All other (2)130,807 1.7 %145,934 1.9 %94,261 1.4 %34,166 0.5 %49,461 0.7 %
Total$7,811,262 100.0 %$7,653,681 100.0 %$6,941,879 100.0 %$6,777,943 100.0 %$7,375,350 100.0 %
Credit quality distribution (3):
AAA$160,327 2.1 %$144,047 1.9 %$122,008 1.8 %$114,395 1.7 %$141,983 1.9 %
AA784,206 10.0 %835,869 10.9 %1,006,360 14.5 %946,277 14.0 %890,624 12.1 %
A2,973,180 38.1 %2,691,615 35.2 %2,414,764 34.8 %2,293,741 33.8 %2,742,121 37.2 %
BBB2,931,983 37.5 %2,968,760 38.8 %2,453,904 35.3 %2,530,014 37.3 %2,687,944 36.4 %
BB522,904 6.7 %550,960 7.2 %463,072 6.7 %477,833 7.0 %499,327 6.8 %
B353,134 4.5 %360,902 4.7 %355,993 5.1 %329,581 4.9 %311,611 4.2 %
Lower than B4,260 0.1 %6,210 0.1 %30,878 0.4 %30,365 0.4 %31,600 0.4 %
Not rated81,268 1.0 %95,318 1.2 %94,900 1.4 %55,737 0.8 %70,140 1.0 %
Total$7,811,262 100.0 %$7,653,681 100.0 %$6,941,879 100.0 %$6,777,943 100.0 %$7,375,350 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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, 2022 (1):
(U.S. Dollars in thousands)Fair
Value
% of Asset Class% of Investable AssetsCredit Quality (2)
Issuer:
Bank of America Corporation$449,059 5.7 %1.7 %A-/A2
JPMorgan Chase & Co.321,238 4.1 %1.2 %A-/A2
Citigroup Inc.307,423 3.9 %1.2 %BBB+/A3
Morgan Stanley284,134 3.6 %1.1 %A-/A1
The Goldman Sachs Group, Inc.254,836 3.3 %1.0 %BBB+/A2
Wells Fargo & Company250,140 3.2 %0.9 %BBB+/A1
Blackstone Inc.169,489 2.2 %0.6 %BBB/Baa3
UBS Group AG133,298 1.7 %0.5 %A/Aa3
Athene Global Funding113,452 1.5 %0.4 %A+/NA
Dai-ichi Life Holdings, Inc.112,215 1.4 %0.4 %AA-/A1
Total$2,395,284 30.7 %9.1 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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 (1):
(U.S. Dollars in thousands)AgenciesAAAAAABBBNon-Investment GradeTotal
At June 30, 2022      
Residential mortgage-backed securities$505,253 $119,976 $32,372 $— $— $40,567 $698,168 
Commercial mortgage-backed securities19,080 689,766 158,454 12,571 82,236 60,981 1,023,088 
Asset-backed securities— 845,189 174,145 364,872 70,106 155,566 1,609,878 
Total$524,333 $1,654,931 $364,971 $377,443 $152,342 $257,114 $3,331,134 
At December 31, 2021
Residential mortgage-backed securities$268,229 $86,344 $40,502 $2,444 $$10,952 $408,477 
Commercial mortgage-backed securities22,198 710,692 141,065 6,990 67,555 97,984 1,046,484 
Asset-backed securities— 1,548,239 230,922 397,242 367,504 152,551 2,696,458 
Total$290,427 $2,345,275 $412,489 $406,676 $435,065 $261,487 $4,151,419 
(1) Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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, transaction costs and other and loss on redemption of preferred shares, 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 net income 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, transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, 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. 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. The loss on redemption of preferred shares related to the redemption of the Company's Series E preferred shares in September 2021 had no impact on shareholders' equity or cash flows. 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, transaction costs and other and loss on redemption of preferred shares 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, through June 30, 2021, the Company’s presentation included the use of information prepared on a ‘core’ basis, which excluded amounts related to the ‘other’ segment (i.e., results of Somers). Information provided on a ‘core’ basis represent non-GAAP financial measures as defined in Regulation G. Pursuant to GAAP, Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers through June 30, 2021. As such, the Company consolidated the results of Somers in its consolidated financial statements. The Company’s presentation of information on a ‘core’ basis enabled 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 analyzed performance. See ‘Segment Information’ for a further discussion of segment results and a reconciliation of core and consolidated results. In the 2020 fourth quarter, Arch, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso & Company and 30% by certain funds managed by Warburg Pincus LLC. Based on the governing documents of Greysbridge, we concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Somers in our consolidated financial statements and footnotes.
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 (for periods prior to July 1, 2021). 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 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 (for periods prior to July 1, 2021), in accordance with Regulation G, is shown on pages 10 to 11.
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 Somers’ outstanding common equity through June 30, 2021:
(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,
 2022202220212021202120222021
Net income available to Arch common shareholders$394,160 $185,616 $613,081 $388,751 $663,820 $579,776 $1,091,573 
Net realized (gains) losses266,579 292,414 (59,517)25,040 (167,438)558,993 (272,989)
Equity in net (income) loss of investment funds accounted for using the equity method(58,061)(36,305)(67,132)(105,398)(122,186)(94,366)(193,872)
Net foreign exchange (gains) losses(87,797)(3,855)(3,221)(36,078)17,888 (91,652)(3,444)
Transaction costs and other261 397 310 1,036 (1,421)658 (147)
Loss on redemption of preferred shares— — — 15,101 — — — 
Income tax expense (benefit) (1)(8,646)(16,268)9,736 6,236 16,553 (24,914)25,864 
After-tax operating income available to Arch common shareholders$506,496 $421,999 $493,257 $294,688 $407,216 $928,495 $646,985 
Diluted per common share results:
Net income available to Arch common shareholders$1.04 $0.48 $1.58 $0.98 $1.63 $1.52 $2.68 
Net realized (gains) losses0.70 0.76 (0.16)0.05 (0.41)1.47 (0.66)
Equity in net (income) loss of investment funds accounted for using the equity method(0.15)(0.09)(0.17)(0.26)(0.30)(0.25)(0.48)
Net foreign exchange (gains) losses(0.23)(0.01)(0.01)(0.09)0.04 (0.24)(0.01)
Transaction costs and other0.00 0.00 0.00 0.00 0.00 0.00 0.00 
Loss on redemption of preferred shares— — — 0.04 — — — 
Income tax expense (benefit) (1)(0.02)(0.04)0.03 0.02 0.04 (0.06)0.06 
After-tax operating income available to Arch common shareholders$1.34 $1.10 $1.27 $0.74 $1.00 $2.44 $1.59 
Weighted average common shares and common share equivalents outstanding - diluted377,952,988 384,194,363 388,869,378 397,903,347 406,485,994 380,905,512 407,687,680 
Beginning common shareholders’ equity$12,089,589 $12,715,896 $12,557,526 $12,706,072 $12,316,472 $12,715,896 $12,325,886 
Ending common shareholders’ equity11,587,566 12,089,589 12,715,896 12,557,526 12,706,072 11,587,566 12,706,072 
Average common shareholders’ equity$11,838,578 $12,402,743 $12,636,711 $12,631,799 $12,511,272 $12,151,731 $12,515,979 
Annualized net income return on average common equity13.3 %6.0 %19.4 %12.3 %21.2 %9.5 %17.4 %
Annualized operating return on average common equity17.1 %13.6 %15.6 %9.3 %13.0 %15.3 %10.3 %

(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,
 2022202220212021202120222021
Arch Operating Income Components (1):
Income (loss) before income taxes and income (loss) from operating affiliates$421,628 $184,533 $617,440 $301,433 $697,799 $606,161 $1,095,043 
Net realized (gains) losses266,579 292,414 (59,517)25,040 (163,394)558,993 (264,730)
Equity in net (income) loss of investment funds accounted for using the equity method(58,061)(36,305)(67,132)(105,398)(122,186)(94,366)(193,872)
Net foreign exchange (gains) losses(87,775)(3,845)(3,163)(36,078)17,892 (91,620)(3,613)
Transaction costs and other658 (170)(171)(437)(2,018)488 (628)
Income (loss) from operating affiliates
4,640 24,518 40,641 124,119 24,476 29,158 99,933 
Pre-tax operating income547,669 461,145 528,098 308,679 452,569 1,008,814 732,133 
Arch share of ‘other’ segment operating income (loss) (2)— — — — 733 — 931 
Pre-tax operating income available to Arch (b)547,669 461,145 528,098 308,679 453,302 1,008,814 733,064 
Income tax expense (benefit) (a)(30,989)(28,962)(24,657)2,099 (34,420)(59,951)(64,010)
After-tax operating income available to Arch516,680 432,183 503,441 310,778 418,882 948,863 669,054 
Preferred dividends(10,184)(10,184)(10,184)(16,090)(11,666)(20,368)(22,069)
After-tax operating income available to Arch common shareholders$506,496 $421,999 $493,257 $294,688 $407,216 $928,495 $646,985 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b)5.7 %6.3 %4.7 %(0.7)%7.6 %5.9 %8.7 %

(1)    Line items are presented on a ‘core’ basis, excluding amounts related to the ‘other’ segment (i.e., results of Somers). 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,
 2022202220212021202120222021
Balances in ‘other’ segment:
Underwriting income (loss)$— $— $— $— $(8,866)$— $(21,945)
Net investment income— — — — 22,183 — 42,310 
Interest expense— — — — (4,261)— (8,410)
Amortization of intangible assets— — — — (898)— (898)
Preferred dividends— — — — (981)— (1,953)
Pre-tax operating income (loss) available to common shareholders— — — — 7,177 — 9,104 
Arch ownership (4)n/an/an/an/a10 %n/a10 %
Arch share of ‘Other’ segment operating income (loss) (3)$— $— $— $— $733 $— $931 

(3) Excludes amounts attributable to net realized gains or losses and net foreign exchange gains or losses in the ‘other’ segment (see ‘Segment Information’).
(4) Effective July 1, 2021, Somers is wholly owned by Greysbridge and Greysbridge is owned 40% by the Company, accordingly, the Company no longer consolidates the results of Somers in its consolidated financial statements. See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
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,
20222022202120212021
Debt:
Arch 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 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(25,104)(25,358)(25,606)(25,851)(26,097)
Revolving credit agreement borrowings, due December 17, 2024 (variable)— — — — — 
Total debt$2,724,896 $2,724,642 $2,724,394 $2,724,149 $2,723,903 
Shareholders’ equity available to Arch:
Series E non-cumulative preferred shares (5.25%)— — — — 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%)500,000 500,000 500,000 500,000 500,000 
Common shareholders’ equity (a)11,587,566 12,089,589 12,715,896 12,557,526 12,706,072 
Total shareholders’ equity available to Arch$12,417,566 $12,919,589 $13,545,896 $13,387,526 $13,986,072 
Total capital available to Arch$15,142,462 $15,644,231 $16,270,290 $16,111,675 $16,709,975 
Common shares outstanding, net of treasury shares (b)369,346,815 375,730,891 378,923,894 387,257,752 396,771,251 
Book value per common share (4) (a)/(b)$31.37 $32.18 $33.56 $32.43 $32.02 
Leverage ratios:
Senior notes/total capital available to Arch18.0 %17.4 %16.7 %16.9 %16.3 %
Revolving credit agreement borrowings/total capital available to Arch— %— %— %— %— %
Debt/total capital available to Arch18.0 %17.4 %16.7 %16.9 %16.3 %
Preferred/total capital available to Arch5.5 %5.3 %5.1 %5.2 %7.7 %
Debt and preferred/total capital available to Arch23.5 %22.7 %21.8 %22.1 %24.0 %
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). 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, and fully and unconditionally guaranteed by Arch.
(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.
(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,
 202220222021202120212022
Effect of share repurchases:
Aggregate cost of shares repurchased$320,688 $254,988 $362,097 $386,882 $306,049 $5,861,736 
Shares repurchased7,090,447 5,564,764 8,668,100 9,704,956 7,805,455 433,334,123 
Average price per share repurchased$45.23 $45.82 $41.77 $39.86 $39.21 $13.53 
Remaining share repurchase authorization (1)$606,558 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2022.
33
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Document and Entity Information Cover
Jul. 27, 2022
Document and Entity Information [Abstract]  
Document Type 8-K
Amendment Flag false
Document Period End Date Jul. 27, 2022
Entity Registrant Name Arch Capital Group Ltd.
Entity Central Index Key 0000947484
Entity Incorporation, State or Country Code D0
Entity File Number 001-16209
Entity Tax Identification Number 98-0374481
Entity Address, Address Line One Waterloo House, Ground Floor
Entity Address, Address Line Two 100 Pitts Bay Road
Entity Address, City or Town Pembroke
Entity Address, Postal Zip Code HM 08
Entity Address, Country BM
City Area Code 441
Local Phone Number 278-9250
Written Communications false
Soliciting Material false
Pre-commencement Tender Offer false
Pre-commencement Issuer Tender Offer false
Entity Emerging Growth Company false
Common shares  
Entity Listings [Line Items]  
Title of 12(b) Security Common shares, $0.0011 par value per share
Trading Symbol ACGL
Security Exchange Name NASDAQ
Depositary Series F Preferred Shares  
Entity Listings [Line Items]  
Title of 12(b) Security Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
Trading Symbol ACGLO
Security Exchange Name NASDAQ
Depositary Series G Preferred Shares  
Entity Listings [Line Items]  
Title of 12(b) Security Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share
Trading Symbol ACGLN
Security Exchange Name NASDAQ

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