The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management's Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year endedDecember 31, 2020 ("2020 Form 10-K"). In addition, readers should review "Risk Factors" set forth in Item 1A of Part I of our 2020 Form 10-K and "ITEM 1A-Risk Factors" of this Form 10-Q. Tabular amounts are inU.S. Dollars in thousands, except share amounts, unless otherwise noted.Arch Capital Group Ltd. ("Arch Capital " and, together with its subsidiaries, "Arch", "we" or "us") is a publicly listedBermuda exempted company with approximately$16.7 billion in capital atJune 30, 2021 and, through operations inBermuda ,the United States ,Europe ,Canada ,Australia andHong Kong , writes insurance, reinsurance and mortgage insurance on a worldwide basis. CURRENT OUTLOOK Our three primary areas of focus for 2021 are to continue our growth in the sectors where rates allow for returns that are substantially more than our cost of capital, to optimize our mortgage insurance book as it transitions from forbearance to recovery on its way back to normalcy in the next few quarters, and to actively manage our investments and capital to enhance our returns over the long run. From an operating perspective, the 2021 second quarter reflected the benefits of attractive pricing in almost all of our insurance markets. As a result, we currently expect the next several quarters to continue to show improved underwriting margins, partially due to the compounding of rate-on-rate increases and the rebalancing of our mix of business. Importantly, the market is showing discipline in maintaining its momentum. We believe that this time-tested strategy of protecting capital through soft markets and writing business aggressively in hard markets gives us the best chance to generate superior risk adjusted returns over time. As long as rate increases support returns above our required thresholds, we expect to continue to grow our writings. Consequently, these rate improvements have enabled us to continue to expand writings in our property casualty segments. We are now in the sixth consecutive quarter of rate increases with a weighted increase of approximately 10% this quarter, comfortably in excess of loss cost trends. Premiums increased across most lines of business and geographic areas as pricing improvements spread and, while rate increases have tapered off from previous highs in some lines, our insurance segment is seeing increases in lines that had been resistant to meaningful change. In reinsurance, strong growth was observed across most of our lines of business, but especially in our casualty and other specialty lines where strong rates increases and growth in new accounts helped increase the top line. Consistent with our insurance segment, we expect the ongoing rate improvements to be reflected in our underwriting results over the next several quarters. For ourU.S. primary mortgage operations, reported delinquencies were 3.11% atJune 30, 2021 , roughly 40% lower than it was at the end of the 2020 second quarter. Delinquencies continue to be better than our expectations at the beginning of the COVID-19 pandemic but delinquency rates remain at elevated levels, reflecting the impact of the recession and forbearance programs under the CARES Act to borrowers experiencing a hardship. Forbearance allows for mortgage payments to be suspended for up to 360 days or longer along with a suspension of foreclosures and evictions. See "Results of Operations-Mortgage Segment" for further details on our mortgage operations. In the second quarter, ourU.S. primary mortgage operations insurance in force remained steady at approximately$278 billion and$422 billion for the total mortgage segment. The refinancing boom that began last year has slowed and we expect improving persistency through remainder of the year. Outside of theU.S. , we increased our writings inAustralia as the housing market remains strong there. We like the long-term opportunity inAustralia as demonstrated by our announcement in March to acquire Westpac's LMI business. The agreement allows us to free up capital even as we build our Australian presence and diversify our earning streams at attractive risk-adjusted returns. We remain committed to providing solutions across many offerings as the marketplace evolves, including the mortgage credit risk transfer programs initiated by government sponsored enterprises, or "GSEs." In addition, we enter into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled inBermuda and issue mortgage insurance linked notes, increasing our protection for mortgage tail risk. The Bellemeade structures provide approximately$4.7 billion of aggregate reinsurance coverage atJune 30, 2021 .
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Table of Contents FINANCIAL MEASURES Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated forArch Capital's common shareholders: Book Value per Share Book value per share represents total common shareholders' equity available to Arch divided by the number of common shares outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver ofArch Capital's share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was$32.02 atJune 30, 2021 , compared to$30.54 atMarch 31, 2021 and$27.62 atJune 30, 2020 . The 4.8% increase in book value per share for the 2021 second quarter and 15.9% increase in book value per share over the trailing twelve months reflected strong underwriting results and investment returns. Operating Return on Average Common Equity Operating return on average common equity ("Operating ROAE") represents annualized after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders' equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, represents net income available to Arch common shareholders, excluding net realized 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 income taxes. Management uses Operating ROAE as a key measure of the return generated to common shareholders. See "Comment on Non-GAAP Financial Measures." Our Operating ROAE was 13.0% for the 2021 second quarter, compared to 0.6% for the 2020 second quarter, and 10.3% for the six months endedJune 30, 2021 , compared to 3.8% for the 2020 period. The higher 2021 period results, reflected strong underwriting returns and a one-time gain of$74.5 million realized during the 2021 first quarter from our acquisition of 29.5% stake in Coface, while the 2020 period reflected the impact of COVID-19 on the underwriting results. Total Return on Investments Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (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. In addition, total return incorporates the timing of investment returns during the periods. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See "Comment on Non-GAAP Financial Measures." Arch Benchmark Portfolio Return
Pre-tax total return (before investment expenses): 2021 Second Quarter
1.58 % 1.80 % 2020 Second Quarter 3.72 % 6.06 %
Six Months Ended
Total return for the 2021 second quarter reflected movements in interest rates and credit spreads on our fixed income portfolio. We continue to maintain a short duration on our portfolio of 2.31 years atJune 30, 2021 . The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. AtJune 30, 2021 , the benchmark return index had an average credit quality of "Aa2" by Moody's Investors Service ("Moody's"), and an estimated duration of 3.13 years. ARCH CAPITAL 44 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents The benchmark return index included weightings to the following indices: % ICE BoAML 1-5 Year A - AAA U.S. Corporate Index 13.00 % ICE BoAML 5-10 Year A - AAA U.S. Corporate Index 11.00 ICE BoAML 1-5 Year U.S. Treasury Index 11.00 MSCI ACWI Net Total Return USD Index 9.30 ICE BoAML 1-10 Year BBB U.S. Corporate Index 5.00 JPM CLOIE Investment Grade 5.00 S&P/LSTA Leveraged Loan Total Return Index 4.965 ICE BoAML U.S. Mortgage Backed Securities Index 4.00 ICE BoAML AAA US Fixed Rate CMBS 4.00 ICE BoAML 1-5 Year U.K. Gilt Index 4.00 ICE BoAML German Government 1-10 Year Index 3.50 ICE BoAML 0-3 Year U.S. Treasury Index 3.25 ICE BoAML 5-10 Year U.S. Treasury Index 3.00 ICE BoAML 1-10 Year U.S. Municipal Securities Index 3.00 Bloomberg Barclays ABS Aaa Index 3.00 ICE BoAML 1-5 Year Australia Government Index 2.75 ICE BoAML U.S. High Yield Constrained Index 2.50 ICE BoAML 1-5 Year Canada Government Index 2.00 ICE BofA CCC and Lower US High Yield Constrained Index 1.38 Bloomberg Barclays Global High Yield Index 1.38
S&P DJ Global ex-US Select Real Estate Securities Net Index 0.825 FTSE Nareit All Mortgage Capped Index Total Return USD
0.825 Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD 0.825 ICE BoAML 15+ Year Canada Government Index 0.50 Total 100.00 %
COMMENT ON NON-GAAP FINANCIAL MEASURES
Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (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 income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under "Results of Operations" below. We believe that net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. 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 our operations, the decision to realize investment gains or losses, the recognition of the change in the carrying value of investments accounted for using the fair value option in net realized gains or losses, the recognition of net impairment losses, the recognition of equity in net income or loss of investment funds accounted for using the equity method and the recognition of foreign exchange gains or losses are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, 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 our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other fixed maturity securities and the timing of the recognition of equity in net income or loss of investment funds accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments. Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. Due to these reasons, we exclude 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 available to Arch common shareholders. We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business ARCH CAPITAL 45 2021 SECOND QUARTER FORM 10-Q
-------------------------------------------------------------------------------- Table of Contents since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies which follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons. Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the 'other' segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate (non-underwriting) segment. While these measures are presented in note 4, "Segment Information," of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the 'other' segment, in accordance with Regulation G, is shown in note 4, "Segment Information" to our consolidated financial statements.
We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangibles and, accordingly, investment income and other non-underwriting related items are not allocated to each underwriting segment. For the 'other' segment, performance is measured based on net income or loss.
Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the 'other' segment. ThroughJune 30, 2021 , the 'other' segment included the results of Watford Holdings Ltd. Watford Holdings Ltd. is the parent ofWatford Re Ltd. , a multi-lineBermuda reinsurance company (together with Watford Holdings Ltd., "Watford"). Pursuant to GAAP, Watford was considered a variable interest entity and we concluded that we are the primary beneficiary of Watford. As such, we consolidated the results of Watford in our consolidated financial statements throughJune 30, 2021 , although we only owned approximately 10% of Watford's common equity. Watford's own management and board of directors are responsible for its results and profitability. In addition, we do not guarantee or provide credit support for Watford. Since Watford is an independent company, the assets of Watford can be used only to settle obligations of Watford andWatford is solely responsible for its own liabilities and commitments. Our financial exposure toWatford is limited to our investment inWatford's senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. We believe that presenting certain information excluding the 'other' segment enables investors and other users of our financial information to analyze our performance in a manner similar to how our management analyzes performance. See note 11, "Variable Interest Entities and Noncontrolling Interests," note 4, "Segment Information," and Note 16, "Subsequent Event," to our consolidated financial statements for additional information onWatford . Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments. Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (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. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by our investment portfolio against benchmark returns during the periods. ARCH CAPITAL 46 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents RESULTS OF OPERATIONS The following table summarizes our consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders. Each line item reflects the impact of our percentage ownership ofWatford's common equity during such period. Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Net income available to Arch common shareholders$ 663,820 $ 288,418 $ 1,091,573 $ 422,132 Net realized (gains) losses (167,438) (406,645) (272,989) (297,281) Equity in net (income) loss of investment funds accounted for using the equity method (122,186) 65,119 (193,872) 69,328 Net foreign exchange (gains) losses 17,888 42,032 (3,444) (22,459) Transaction costs and other (1,421) 977 (147) 3,572 Income tax expense (1) 16,553 26,713 25,864 31,078 After-tax operating income available to Arch common shareholders$ 407,216 $ 16,614
Beginning common shareholders' equity$ 12,316,472 $ 10,587,244 $ 12,325,886 $ 10,717,371 Ending common shareholders' equity$ 12,706,072 $ 11,211,825 $ 12,706,072 $ 11,211,825 Average common shareholders' equity$ 12,511,272 $ 10,899,535
Annualized return on average common equity % 21.2 10.6 17.4 7.7 Annualized operating return on average common equity % 13.0 0.6 10.3 3.8 (1) Income tax expense on 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 reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction. Segment Information We classify our businesses into three underwriting segments - insurance, reinsurance and mortgage - and two other operating segments - corporate (non-underwriting) and 'other.' Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer ofArch Capital , the Chief Financial Officer and Treasurer ofArch Capital and the President and Chief Underwriting Officer ofArch Capital . The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment. We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results. Insurance Segment The following tables set forth our insurance segment's underwriting results: Three Months Ended June 30, % 2021 2020 Change Gross premiums written$ 1,368,867 $ 1,030,362 32.9 Premiums ceded (405,312) (358,101) Net premiums written 963,555 672,261 43.3 Change in unearned premiums (98,128) 15,648 Net premiums earned 865,427 687,909 25.8 Losses and loss adjustment expenses (545,880) (518,203) Acquisition expenses (136,852) (107,671) Other operating expenses (133,342) (118,757) Underwriting income (loss)$ 49,353 $ (56,722) 187.0 % Point Underwriting Ratios Change Loss ratio 63.1 % 75.3 % (12.2) Acquisition expense ratio 15.8 % 15.7 % 0.1 Other operating expense ratio 15.4 % 17.3 % (1.9) Combined ratio 94.3 % 108.3 % (14.0) ARCH CAPITAL 47 2021 SECOND QUARTER FORM 10-Q
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Table of Contents Six Months Ended June 30, 2021 2020 % Change Gross premiums written$ 2,784,753 $ 2,238,007 24.4 Premiums ceded (826,359) (736,998) Net premiums written 1,958,394 1,501,009 30.5 Change in unearned premiums (273,493) (97,181) Net premiums earned 1,684,901 1,403,828 20.0 Losses and loss adjustment expenses (1,081,627) (1,025,311) Acquisition expenses (265,074) (215,008) Other operating expenses (270,455) (248,406) Underwriting income (loss)$ 67,745 $ (84,897) 179.8 % Point Underwriting Ratios Change Loss ratio 64.2 % 73.0 % (8.8) Acquisition expense ratio 15.7 % 15.3 % 0.4 Other operating expense ratio 16.1 % 17.7 % (1.6) Combined ratio 96.0 % 106.0 % (10.0) The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: •Construction and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs). •Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks. •Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing. •Professional lines: directors' and officers' liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis. •Programs: primarily package policies, underwriting workers' compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering 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 standalone terrorism are also offered. •Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups. •Other: includes alternative market risks (including captive insurance programs), excess workers' compensation and employer's liability insurance coverages for qualified self-insured groups, associations and trusts, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1,000 companies and smaller transaction business programs. Premiums Written. The following tables set forth our insurance segment's net premiums written by major line of business: Three Months Ended June 30, 2021 2020 Amount % Amount % Property, energy, marine and aviation$ 207,762 21.6$ 159,801 23.8 Professional lines 254,961 26.5 157,899 23.5 Programs 149,373 15.5 104,930 15.6 Construction and national accounts 77,579 8.1 57,144 8.5 Excess and surplus casualty 74,346 7.7 64,703 9.6 Travel, accident and health 71,071 7.4 27,997 4.2 Lenders products 40,386 4.2 23,690 3.5 Other 88,077 9.1 76,097 11.3 Total$ 963,555 100.0$ 672,261 100.0 2021 Second Quarter versus 2020 Period. Gross premiums written by the insurance segment in the 2021 second quarter were 32.9% higher than in the 2020 second quarter, while net premiums written were 43.3% higher. The higher level of net premiums written reflected increases across most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts. ARCH CAPITAL 48 2021 SECOND QUARTER FORM 10-Q
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Table of Contents Six Months Ended June 30, 2021 2020 Amount % Amount % Property, energy, marine and aviation$ 378,260 19.3$ 287,386 19.1 Professional Lines 493,207 25.2 327,017 21.8 Programs 307,774 15.7 217,462 14.5 Construction and national accounts 212,371 10.8 173,143 11.5 Excess and surplus casualty 159,939 8.2 130,122 8.7 Travel, accident and health 163,377 8.3 154,043 10.3 Lenders products 75,246 3.8 56,982 3.8 Other 168,220 8.6 154,854 10.3 Total$ 1,958,394 100.0$ 1,501,009 100.0 Six Months EndedJune 30, 2021 versus 2020 period. Gross premiums written by the insurance segment for the six months endedJune 30, 2021 were 24.4% higher than in the 2020 period, while net premiums written were 30.5% higher than in the 2020 period. The increase in net premiums written reflected growth across most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts. Net Premiums Earned. The following tables set forth our insurance segment's net premiums earned by major line of business: Three Months Ended June 30, 2021 2020 Amount % Amount % Property, energy, marine and aviation$ 167,716 19.4$ 120,781 17.6 Professional lines 214,098 24.7 154,812 22.5 Programs 118,974 13.7 108,464 15.8 Construction and national accounts 95,849 11.1 91,605 13.3 Excess and surplus casualty 72,899 8.4 60,966 8.9 Travel, accident and health 62,610 7.2 52,117 7.6 Lenders products 46,396 5.4 23,111 3.4 Other 86,885 10.0 76,053 11.1 Total$ 865,427 100.0$ 687,909 100.0 Six Months Ended June 30, 2021 2020 Amount % Amount % Property, energy, marine and aviation$ 324,975 19.3$ 231,964 16.5 Professional Lines 413,769 24.6 306,512 21.8 Programs 231,814 13.8 217,342 15.5 Construction and national accounts 198,520 11.8 191,305 13.6 Excess and surplus casualty 148,266 8.8 126,063 9.0 Travel, accident and health 112,276 6.7 129,492 9.2 Lenders products 86,477 5.1 48,454 3.5 Other 168,804 10.0 152,696 10.9 Total$ 1,684,901 100.0$ 1,403,828 100.0 Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned reflect changes in net premiums written over the previous five quarters. Net premiums earned in the 2021 second quarter were 25.8% higher than in the 2020 second quarter. Net premiums earned for the six months endedJune 30, 2021 were 20.0% higher than in the 2020 period. Losses and Loss Adjustment Expenses. The table below shows the components of the insurance segment's loss ratio: Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Current year 63.6 % 75.7 % 64.7 % 73.3 % Prior period reserve development (0.5) % (0.4) % (0.5) % (0.3) % Loss ratio 63.1 % 75.3 % 64.2 % 73.0 % Current Year Loss Ratio. 2021 Second Quarter versus 2020 Period. The insurance segment's current year loss ratio in the 2021 second quarter was 12.1 points lower than in the 2020 second quarter. The 2021 second quarter loss ratio reflected 3.2 points of current year catastrophic activity, primarily from winter storms Uri and Viola, compared to 12.5 points of catastrophic activity for the 2020 second quarter, which included exposure to the COVID-19 global pandemic. The insurance segment's current year loss ratio for the six months endedJune 30, 2021 was 8.6 points lower than in the 2020 period and reflected 4.1 points of current year catastrophic activity, compared to 9.6 points in the 2020 period. The balance of the change in the 2021 loss ratios resulted, in part, from changes in mix of business and the level of large attritional losses. ARCH CAPITAL 49 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents PriorPeriod Reserve Development . The insurance segment's net favorable development was$4.0 million , or 0.5 points, for the 2021 second quarter, compared to$2.5 million , or 0.4 points, for the 2020 second quarter, and$8.1 million , or 0.5 points for the six months endedJune 30, 2021 , compared to$3.6 million , or 0.3 points, for the 2020 period. See note 5, "Reserve for Losses and Loss Adjustment Expenses," to our consolidated financial statements for information about the insurance segment's prior year reserve development. Underwriting Expenses. 2021 Second Quarter versus 2020 Period. The insurance segment's underwriting expense ratio was 31.2% in the 2021 second quarter, compared to 33.0% in the 2020 second quarter, with the decrease primarily due to growth in net premiums earned. Six Months EndedJune 30, 2021 versus 2020 Period. The insurance segment's underwriting expense ratio was 31.8% six months endedJune 30, 2021 , compared to 33.0% for the 2020 period, with the decrease primarily due to growth in net premiums earned. Reinsurance Segment The following tables set forth our reinsurance segment's underwriting results: Three Months Ended June 30, % 2021 2020 Change Gross premiums written$ 1,358,020 $ 807,065 68.3 Premiums ceded (433,288) (241,971) Net premiums written 924,732 565,094 63.6 Change in unearned premiums (187,708) (84,897) Net premiums earned 737,024 480,197 53.5 Other underwriting income (loss) 1,053 (651) Losses and loss adjustment expenses (463,823) (383,433) Acquisition expenses (133,585) (90,522) Other operating expenses (44,695) (38,716) Underwriting income (loss)$ 95,974 $ (33,125) 389.7 % Point Underwriting Ratios Change Loss ratio 62.9 % 79.8 % (16.9) Acquisition expense ratio 18.1 % 18.9 % (0.8) Other operating expense ratio 6.1 % 8.1 % (2.0) Combined ratio 87.1 % 106.8 % (19.7) Six Months Ended June 30, 2021 2020 % Change Gross premiums written$ 2,829,080 $ 1,929,584 46.6 Premiums ceded (905,236) (567,310) Net premiums written 1,923,844 1,362,274 41.2 Change in unearned premiums (541,920) (338,617) Net premiums earned 1,381,924 1,023,657 35.0 Other underwriting income (145) 1,469 Losses and loss adjustment expenses (948,693) (813,502) Acquisition expenses (251,610) (170,128) Other operating expenses (105,209) (84,013) Underwriting income (loss)$ 76,267 $ (42,517) 279.4 % Point Underwriting Ratios Change Loss ratio 68.7 % 79.5 % (10.8) Acquisition expense ratio 18.2 % 16.6 % 1.6 Other operating expense ratio 7.6 % 8.2 % (0.6) Combined ratio 94.5 % 104.3 % (9.8) The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: •Casualty: provides coverage to ceding company clients on third party liability and workers' compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include, among others, executive assurance, professional liability, workers' compensation, excess and umbrella liability, excess motor and healthcare business. •Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs. •Other specialty: provides coverage to ceding company clients for proportional motor and other lines, including surety, accident and health, workers' compensation catastrophe, agriculture, trade credit and political risk. •Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess of loss basis when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract. •Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business ARCH CAPITAL 50 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on both a proportional and excess of loss treaty basis and on a facultative basis. In addition, facultative business is written which focuses on commercial property risks on an excess of loss basis. •Other: includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance. Premiums Written. The following tables set forth our reinsurance segment's net premiums written by major line of business: Three Months Ended June 30, 2021 2020 Amount % Amount % Property excluding property catastrophe$ 249,101 26.9$ 163,639 29.0 Property catastrophe 87,642 9.5 117,676 20.8 Other specialty 296,325 32.0 117,375 20.8 Casualty 225,890 24.4 105,049 18.6 Marine and aviation 50,248 5.4 32,372 5.7 Other 15,526 1.7 28,983 5.1 Total$ 924,732 100.0$ 565,094 100.0 2021 Second Quarter versus 2020 Period. Gross premiums written by the reinsurance segment in the 2021 second quarter were 68.3% higher than in the 2020 second quarter, while net premiums written were 63.6% higher. The growth in net premiums written was observed in most lines of business, primarily related to new business opportunities in other specialty, casualty and property excluding property catastrophe lines and the benefit of rate increases. Six Months Ended June 30, 2021 2020 Amount % Amount %
Property excluding property catastrophe
322,563 23.7 Property catastrophe 204,849 10.6 206,768 15.2 Other Specialty 580,656 30.2 402,327 29.5 Casualty 444,146 23.1 295,929 21.7 Marine and aviation 111,886 5.8 82,157 6.0 Other 40,373 2.1 52,530 3.9 Total$ 1,923,844 100.0$ 1,362,274 100.0 Six Months EndedJune 30, 2021 versus 2020 period. Gross premiums written by the reinsurance segment for the six months endedJune 30, 2021 were 46.6% higher than in the 2020 period, while net premiums written were 41.2% higher than in the 2020 period. The increase in net premiums written reflected growth in property excluding property catastrophe, other specialty and casualty primarily due to new business and rate increases. Net Premiums Earned. The following tables set forth our reinsurance segment's net premiums earned by major line of business: Three Months Ended June 30, 2021 2020 Amount % Amount % Property excluding property catastrophe$ 202,780 27.5$ 124,019 25.8 Property catastrophe 76,167 10.3 55,226 11.5 Other specialty 211,817 28.7 123,006 25.6 Casualty 183,846 24.9 132,756 27.6 Marine and aviation 42,773 5.8 24,960 5.2 Other 19,641 2.7 20,230 4.2 Total$ 737,024 100.0$ 480,197 100.0 Six Months Ended June 30, 2021 2020 Amount % Amount %
Property excluding property catastrophe
236,671 23.1 Property catastrophe 164,178 11.9 108,226 10.6 Other Specialty 375,715 27.2 326,391 31.9 Casualty 332,877 24.1 267,827 26.2 Marine and aviation 82,881 6.0 49,818 4.9 Other 35,711 2.6 34,724 3.4 Total$ 1,381,924 100.0$ 1,023,657 100.0 Net premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Net premiums earned by the reinsurance segment in the 2021 second quarter were 53.5% higher than in the 2020 second quarter, and reflect changes in net premiums written over the previous five quarters. Other Underwriting Income (Loss). Other underwriting income for the 2021 second quarter was$1.1 million , compared to a loss of$0.7 million for the 2020 second quarter, and a loss of$0.1 million for the six months endedJune 30, 2021 , compared to an income of$1.5 million for the 2020 period.
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Table of Contents Losses and Loss Adjustment Expenses. The table below shows the components of the reinsurance segment's loss ratio: Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Current year 65.7 % 88.2 % 72.1 % 84.6 % Prior period reserve development (2.8) % (8.4) % (3.4) % (5.1) % Loss ratio 62.9 % 79.8 % 68.7 % 79.5 % Current Year Loss Ratio. 2021 Second Quarter versus 2020 Period. The reinsurance segment's current year loss ratio in the 2021 second quarter was 22.5 points lower than in the 2020 second quarter. The 2021 second quarter loss ratio reflected 2.6 points of current year catastrophic activity, including winter storms Uri and Viola as well as other minor global events. The 2020 second quarter included 26.3 points of catastrophic activity, which included exposure to the COVID-19 pandemic. Six Months EndedJune 30, 2021 versus 2020 period.The reinsurance segment's current year loss ratio for the six months endedJune 30, 2021 was 12.5 points lower than in the 2020 period and reflected 12.9 points of current year catastrophic activity, compared to 19.1 points in the 2020 period. The 2020 period loss ratio included exposure to the COVID-19 pandemic. PriorPeriod Reserve Development . The reinsurance segment's net favorable development was$20.5 million , or 2.8 points, for the 2021 second quarter, compared to$40.2 million , or 8.4 points, for the 2020 second quarter, and$47.3 million , or 3.4 points, for the six months endedJune 30, 2021 , compared to$51.8 million , or 5.1 points, for the 2020 period. See note 5, "Reserve for Losses and Loss Adjustment Expenses," to our consolidated financial statements for information about the reinsurance segment's prior year reserve development. Underwriting Expenses. 2021 Second Quarter versus 2020 Period. The underwriting expense ratio for the reinsurance segment was 24.2% in the 2021 second quarter, compared to 27.0% in the 2020 second quarter. Approximately 2.1 points of the difference is due to a lower level of acquisition expenses related to favorable prior year loss reserve development this quarter than in the 2020 second quarter. The remainder of the decrease in the underwriting expense ratio was primarily related to growth in net premiums earned. Six Months EndedJune 30, 2021 versus 2020 period. The underwriting expense ratio for the reinsurance segment was 25.8% for the six months endedJune 30, 2021 , compared to 24.8% for the 2020 period. The comparison of the underwriting expense ratios also reflected changes in the mix and type of business and a higher level of net premiums earned for the 2021 period. Mortgage Segment Our mortgage operations includeU.S. and international mortgage insurance and reinsurance operations as well as participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in theU.S. primarily throughArch Mortgage Insurance Company ,United Guaranty Residential Insurance Company andArch Mortgage Guaranty Company (together, "Arch MIU.S. "); mortgage reinsurance byArch Reinsurance Ltd. ("Arch Re Bermuda") to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance inEurope throughArch Insurance (EU) Designated Activity Company ("Arch Insurance EU"); inHong Kong throughArch MI Asia Limited ("Arch MIAsia "); inAustralia throughArch LMI Pty Ltd ("Arch LMI") and participation in various GSE credit risk-sharing products primarily through Arch Re Bermuda. The following tables set forth our mortgage segment's underwriting results. Three Months Ended June 30, 2021 2020 % Change Gross premiums written$ 391,511 $ 369,144 6.1 Premiums ceded (55,665) (44,044) Net premiums written 335,846 325,100 3.3 Change in unearned premiums (1,625) 40,613 Net premiums earned 334,221 365,713 (8.6) Other underwriting income 4,148 6,450 Losses and loss adjustment expenses (9,880) (224,100) Acquisition expenses (30,117) (34,052) Other operating expenses (48,312) (37,574) Underwriting income$ 250,060 $ 76,437 227.1 % Point Underwriting Ratios Change Loss ratio 3.0 % 61.3 % (58.3) Acquisition expense ratio 9.0 % 9.3 % (0.3) Other operating expense ratio 14.5 % 10.3 % 4.2 Combined ratio 26.5 % 80.9 % (54.4) ARCH CAPITAL 52 2021 SECOND QUARTER FORM 10-Q
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Table of Contents Six Months Ended June 30, 2021 2020 % Change Gross premiums written$ 782,757 $ 738,089 6.1 Premiums ceded (111,716) (88,371) Net premiums written 671,041 649,718 3.3 Change in unearned premiums (503) 61,021 Net premiums earned 670,538 710,739 (5.7) Other underwriting income 11,045 11,049 Losses and loss adjustment expenses (73,569) (291,666) Acquisition expenses (60,199) (72,588) Other operating expenses (97,443) (83,470) Underwriting income$ 450,372 $ 274,064 64.3 % Point Underwriting Ratios Change Loss ratio 11.0 % 41.0 % (30.0) Acquisition expense ratio 9.0 % 10.2 % (1.2) Other operating expense ratio 14.5 % 11.7 % 2.8 Combined ratio 34.5 % 62.9 % (28.4) Premiums Written. The following tables set forth our mortgage segment's net premiums written by underwriting location (i.e., where the business is underwritten): Three Months Ended June 30, 2021 2020 Amount % Amount % Underwriting location: United States$ 234,645 69.9$ 261,124 80.3 Other 101,201 30.1 63,976 19.7 Total$ 335,846 100.0$ 325,100 100.0 2021 Second Quarter versus 2020 Period. Gross premiums written by the mortgage segment in the 2021 second quarter were 6.1% higher than in the 2020 second quarter, while net premiums written were 3.3% higher, primarily reflecting growth in Australian single premium mortgage insurance and the benefit of premiums received related to the exercise of early redemption options by GSEs for certain seasoned callable credit risk transfer contracts. This growth was partially offset by a lower level ofU.S. primary mortgage insurance in force on monthly premium policies, which resulted from the continued high level of refinancing activity. Six Months Ended June 30, 2021 2020 Amount % Amount % Underwriting location: United States$ 482,174 71.9$ 525,232 80.8 Other 188,867 28.1 124,486 19.2 Total$ 671,041 100.0$ 649,718 100.0 Six Months EndedJune 30, 2021 versus 2020 period. Gross premiums written by the mortgage segment for the six months endedJune 30, 2021 were 6.1% higher than in the 2020 period, while net premiums written for the six months endedJune 30, 2021 were 3.3% higher than in the 2020 period, primarily reflecting growth in Australian single premium mortgage insurance and the benefit of premiums received related to the exercise of early redemption options by GSEs for certain seasoned callable credit risk transfer contracts. This growth was partially offset by a lower level ofU.S. primary mortgage insurance in force on monthly premium policies, which resulted from the continued high level of refinancing activity. The persistency rate, which represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period, was 54.8% for the Arch MIU.S. portfolio of mortgage insurance policies atJune 30, 2021 , reflecting the higher level of mortgage refinancing activity, compared to 58.7% atDecember 31, 2020 . The following tables provide details on the new insurance written ("NIW") generated by Arch MIU.S. NIW represents the original principal balance of all loans that received coverage during the period. (U.S. Dollars in millions) Three Months Ended June 30, 2021 2020 Amount % Amount % Total new insurance written (NIW) (1)$ 28,372 $ 24,551 Credit quality (FICO): >=740$ 19,240 67.8$ 15,851 64.6 680-739 8,113 28.6 7,781 31.7 620-679 1,019 3.6 919 3.7 Total$ 28,372 100.0$ 24,551 100.0 Loan-to-value (LTV): 95.01% and above$ 1,484 5.2$ 1,948 7.9 90.01% to 95.00% 13,936 49.1 9,403 38.3 85.01% to 90.00% 8,675 30.6 8,140 33.2 85.00% and below 4,277 15.1 5,060 20.6 Total$ 28,372 100.0$ 24,551 100.0 Monthly vs. single: Monthly$ 26,725 94.2$ 23,391 95.3 Single 1,647 5.8 1,160 4.7 Total$ 28,372 100.0$ 24,551 100.0 Purchase vs. refinance: Purchase$ 25,010 88.2$ 14,956 60.9 Refinance 3,362 11.8 9,595 39.1 Total$ 28,372 100.0$ 24,551 100.0
(1)Represents the original principal balance of all loans that received coverage during the period.
ARCH CAPITAL 53 2021 SECOND QUARTER FORM 10-Q
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Table of Contents (U.S. Dollars in millions) Six Months Ended June 30, 2021 2020 Amount % Amount % Total new insurance written (NIW) (1)$ 55,391 $ 41,329 Credit quality (FICO): >=740$ 37,058 66.9$ 25,920 62.7 680-739 16,531 29.8 13,568 32.8 620-679 1,802 3.3 1,841 4.5 Total$ 55,391 100.0$ 41,329 100.0 Loan-to-value (LTV): 95.01% and above$ 3,092 5.6$ 3,616 8.7 90.01% to 95.00% 26,224 47.3 16,602 40.2 85.01% to 90.00% 16,987 30.7 13,469 32.6 85.01% and below 9,088 16.4 7,642 18.5 Total$ 55,391 100.0$ 41,329 100.0 Monthly vs. single: Monthly$ 51,714 93.4$ 39,083 94.6 Single 3,677 6.6 2,246 5.4 Total$ 55,391 100.0$ 41,329 100.0 Purchase vs. refinance: Purchase$ 45,515 82.2$ 27,255 65.9 Refinance 9,876 17.8 14,074 34.1 Total$ 55,391 100.0$ 41,329 100.0 (1)Represents the original principal balance of all loans that received coverage during the period. Net Premiums Earned. The following tables set forth our mortgage segment's net premiums earned by underwriting location: Three Months Ended June 30, 2021 2020 Amount % Amount % Underwriting location: United States$ 248,388 74.3$ 304,652 83.3 Other 85,833 25.7 61,061 16.7 Total$ 334,221 100.0$ 365,713 100.0 2021 Second Quarter versus 2020 Period. Net premiums earned for the 2021 second quarter were 8.6% lower than in the 2020 second quarter, and reflected a lower level of single premium policy terminations and a decrease inU.S. primary mortgage insurance in force on monthly premium policies. Six Months Ended June 30, 2021 2020 Amount % Amount % Underwriting location: United States$ 510,938 76.2$ 593,814 83.5 Other 159,600 23.8 116,925 16.5 Total$ 670,538 100.0$ 710,739 100.0 Six Months EndedJune 30, 2021 versus 2020 Period. Net premiums earned for the six months endedJune 30, 2021 were 5.7% lower than in the 2020 period, primarily reflecting a lower level of single premiums earned, partially offset by an increase in earnings from Australian single premium policy terminations. Other Underwriting Income. Other underwriting income, which is primarily related to GSE credit risk-sharing transactions was$4.1 million for the 2021 second quarter, compared to$6.5 million for the 2020 second quarter. Losses and Loss Adjustment Expenses. The table below shows the components of the mortgage segment's loss ratio: Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Current year 15.9 % 61.4 % 19.1 % 41.9 % Prior period reserve development (12.9) % (0.1) % (8.1) % (0.9) % Loss ratio 3.0 % 61.3 % 11.0 % 41.0 % Current Year Loss Ratio. 2021 Second Quarter versus 2020 Period. The mortgage segment's current year loss ratio was 45.5 points lower in the 2021 second quarter than in the 2020 second quarter. The mortgage segment's current year loss ratio was 22.8 points lower for the six months endedJune 30, 2021 than for the 2020 period. The lower current year loss ratios for the 2021 period reflect decrease in loss assumptions related to COVID-19 pandemic. For the 2020 periods, the increase in incurred losses was primarily due to, the financial stress related to the COVID-19 pandemic. Segregating estimated losses due to COVID-19 from the overall mortgage segment estimated losses would require the number of delinquencies specifically attributable to COVID-19. As this analysis cannot be performed accurately, the Company is not reporting COVID-19 provisions separately from its overall loss provisions. ARCH CAPITAL 54 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents PriorPeriod Reserve Development . The mortgage segment's net favorable development was$43.1 million , or 12.9 points, for the 2021 second quarter, compared to$0.2 million , or 0.1 points, for the 2020 second quarter, and$54.0 million , or 8.1 points, for the six months endedJune 30, 2021 , compared to$6.3 million , or 0.9 points, for the 2020 period. See note 5, "Reserve for Losses and Loss Adjustment Expenses," to our consolidated financial statements for information about the mortgage segment's prior year reserve development. Underwriting Expenses. 2021 Second Quarter versus 2020 Period. The underwriting expense ratio for the mortgage segment was 23.5% in the 2021 second quarter, compared to 19.6% in the 2020 second quarter, with the increase primarily reflecting higher operating expenses and, to a lesser extent, a decline in net premiums earned onU.S. primary mortgage insurance business. Six Months EndedJune 30, 2021 versus 2020 period. The underwriting expense ratio for the mortgage segment was 23.5% for the six months endedJune 30, 2021 , compared to 21.9% for the 2020 period, with the increase primarily reflecting higher operating expenses and, to a lesser extent, a decline in net premiums earned onU.S. primary mortgage insurance business. Corporate (Non-Underwriting) Segment The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, items related to our non-cumulative preferred shares, net realized gains or losses (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, income or loss from operating affiliates and income taxes. Such amounts exclude the results of the 'other' segment. See note 1, "Basis of Presentation and Recent Accounting Pronouncements," to our consolidated financial statements for information about the change in presentation of income or loss from operating affiliates. Net Investment Income. The components of net investment income were derived from the following sources: Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Fixed maturities$ 77,709 $ 91,491 $ 156,726 $ 193,254 Equity securities 8,282 6,023 13,932 11,653 Short-term investments 972 897 1,616 4,282 Other (1) 21,026 17,825 36,585 38,304 Gross investment income 107,989 116,236 208,859 247,493 Investment expenses (2) (18,559) (15,205) (40,700) (33,434) Net investment income$ 89,430 $ 101,031 $ 168,159 214,059 (1) Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items. (2) Investment expenses were approximately 0.30% of average invested assets for the 2021 second quarter, compared to 0.28% for the 2020 second quarter, and 0.32% for the six months endedJune 30, 2021 , compared to 0.32% for the 2020 period. The lower level of net investment income for the 2021 second quarter primarily related to lower yields available in the financial market. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 1.47% for the 2021 second quarter, compared to 1.92% for the 2020 second quarter, and 1.40% for the six months endedJune 30, 2021 , compared to 2.08% for the 2020 period. Corporate Expenses. Corporate expenses were$17.2 million for the 2021 second quarter, compared to$16.9 million for the 2020 second quarter, and$40.6 million for the six months endedJune 30, 2021 , compared to$35.1 million for the 2020 period. The increase in corporate expenses was primarily due to higher incentive compensation costs. Transaction Costs and Other. Transaction costs and other were a benefit of$1.4 million for the 2021 second quarter, compared to an expense of$1.0 million for the 2020 second quarter, and a benefit of$0.2 million for the six months endedJune 30, 2021 , compared to an expense of$3.6 million for the 2020 period. Amounts in the 2021 and 2020 periods are primarily related to acquisitions activity for the respective period. Amortization of Intangible Assets. Amortization of intangible assets for the 2021 second quarter was$14.4 million , compared to$16.5 million for the 2020 ARCH CAPITAL 55 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents second quarter, and$28.8 million for the six months endedJune 30, 2021 , compared to$33.1 million for the 2020 period. Amounts in 2021 and 2020 primarily related to amortization of finite-lived intangible assets. See the consolidated financial statements contained in our 2020 Form 10-K for disclosures on our amortization pattern. Interest Expense. Interest expense was$31.4 million for the 2021 second quarter, compared to the$25.1 million for the 2020 second quarter, and$65.6 million for the six months endedJune 30, 2021 , compared to$50.4 million for the 2020 period.The higher level of interest expense mainly resulted from the issuance of$1.0 billion of 3.635% senior notes onJune 30, 2020 . Net Realized Gains or Losses. We recorded net realized gains of$163.4 million for the 2021 second quarter, compared to net realized gains of$385.1 million for the 2020 second quarter, and net realized gains of$264.7 million for the six months endedJune 30, 2021 , compared to net realized gains of$313.0 million for the 2020 period. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains and losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations. Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings. See note 7, "Investment Information-Net Realized Gains (Losses)," to our consolidated financial statements for additional information. See note 7, "Investment Information-Allowance for Credit Losses," to our consolidated financial statements for additional information. Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method. We recorded$122.2 million of equity in net income related to investment funds accounted for using the equity method in the 2021 second quarter, compared to a loss of$65.1 million for the 2020 second quarter, and$193.9 million of income for the six months endedJune 30, 2021 , compared to a loss of$69.3 million for the 2020 period. Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Investment funds accounted for using the equity method totaled$2.5 billion at June 30, 2021, compared to$2.0 billion at December 31, 2020. See note 7, "Investment Information-Investments Accounted For Using the Equity Method," to our consolidated financial statements for additional information. Net Foreign Exchange Gains or Losses. Net foreign exchange losses for the 2021 second quarter were$17.9 million , compared to net foreign exchange losses for the 2020 second quarter of$42.4 million . Net foreign exchange gains for the six months endedJune 30, 2021 were$3.6 million , compared to net foreign exchange gains for the 2020 period of$20.9 million . Amounts in both periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date. Income Tax Expense. Our income tax provision on income (loss) before income taxes, including income (loss) from operating affiliates, resulted in an expense of 7.1% for the 2021 second quarter, compared to 8.8% for the 2020 second quarter, and 7.5% for the six months endedJune 30, 2021 , compared to 10.7% for the 2020 period. Such amounts exclude the results of the 'other' segment. Our effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. Income (loss) from operating affiliates. We recorded$24.5 million of net income from our operating affiliates in the 2021 second quarter, compared to a loss of$3.2 million for the 2020 second quarter, and$99.9 million of income for the six months endedJune 30, 2021 , compared to$5.3 million for the 2020 period. Results for the 2021 period, primarily reflected our acquisition of 29.5% of the common equity in Coface, which included a one-time gain of$74.5 million . As a result of equity method accounting rules, approximately$36 million of additional gain was deferred and will generally be recognized over the next five years. Other Segment ThroughJune 30, 2021 , the 'other' segment included the results ofWatford . Pursuant to GAAP,Watford was considered a variable interest entity and we concluded that we are the primary beneficiary ofWatford . As such, we consolidated the results ofWatford in our consolidated financial statements throughJune 30, 2021 , although we only owned approximately 10% ofWatford's common equity. See note 11, "Variable Interest Entities and Noncontrolling Interests," note 4, "Segment Information," and Note 16, ARCH CAPITAL 56 2021 SECOND QUARTER FORM 10-Q
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Table of Contents
" Subsequent Event, " to our consolidated financial statements for additional information onWatford . CRITICAL ACCOUNTING POLICIES, ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS Critical accounting policies, estimates and recent accounting pronouncements are discussed in Management's Discussion and Analysis of Financial Condition and Results of Operations contained in our 2020 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including
note 1, "Basis of Presentation and Recent Accounting Pronouncements." FINANCIAL CONDITION
Investable Assets AtJune 30, 2021 , total investable assets held by Arch were$27.3 billion , excluding the$2.9 billion included in the 'other' segment (i.e., attributable toWatford ). Investable Assets Held by Arch The following table summarizes the fair value of the investable assets held by Arch: Estimated % of Investable assets (1): Fair Value TotalJune 30, 2021 Fixed maturities (2)$ 18,022,113 66.0 Short-term investments (2) 2,380,016 8.7 Cash 884,857 3.2 Equity securities (2) 1,633,579 6.0 Other investments (2) 1,512,317 5.5 Other investable assets (3) 500,000 1.8 Investments accounted for using the equity method 2,539,124 9.3
Securities transactions entered into but not settled at the balance sheet date
(180,592) (0.7) Total investable assets held by Arch$ 27,291,414 100.0 Average effective duration (in years) 2.31 Average S&P/Moody's credit ratings (4) AA/Aa2 Embedded book yield (5) 1.45 % December 31, 2020 Fixed maturities (2)$ 18,771,296 69.9 Short-term investments (2) 2,063,240 7.7 Cash 694,997 2.6 Equity securities (2) 1,436,104 5.3 Other investments (2) 1,480,347 5.5 Other investable assets (3) 500,000 1.9 Investments accounted for using the equity method 2,047,889 7.6
Securities transactions entered into but not settled at the balance sheet date
(137,578) (0.5) Total investable assets held by Arch$ 26,856,295 100.0 Average effective duration (in years) 3.01 Average S&P/Moody's credit ratings (4) AA/Aa2 Embedded book yield (5) 1.56 % (1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. (2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option. (3)Represents participation interests in a receivable of a reverse repurchase agreement. (4)Average credit ratings on our investment portfolio on securities with ratings byStandard & Poor's Rating Services ("S&P") and Moody's Investors Service ("Moody's"). (5)Before investment expenses. AtJune 30, 2021 , approximately$18.5 billion , or 67.9%, of total investable assets held by Arch were internally managed, compared to$19.2 billion , or 71.4%, atDecember 31, 2020 . ARCH CAPITAL 57 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements ("Fixed Maturities") by type: Estimated % of Fair Value Total June 30, 2021 Corporate bonds$ 7,375,350 40.9
Residential mortgage backed securities 374,565 2.1 Municipal bonds
413,709 2.3
Commercial mortgage backed securities 267,574 1.5
2,308,403 12.8 Asset backed securities 2,426,917 13.5 Total$ 18,022,113 100.0 December 31, 2020 Corporate bonds$ 8,039,745 42.8
Residential mortgage backed securities 616,619 3.3 Municipal bonds
492,734 2.6
Commercial mortgage backed securities 390,990 2.1
2,310,157 12.3 Asset backed securities 1,566,188 8.3 Total$ 18,771,296 100.0
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody's are used, followed by ratings from Fitch Ratings.
% of Estimated Fair Value TotalJune 30, 2021 U.S. government and gov't agencies (1) $ 5,221,296 29.0 AAA 3,432,285 19.0 AA 2,004,442 11.1 A 3,268,661 18.1 BBB 2,896,453 16.1 BB 544,730 3.0 B 330,639 1.8 Lower than B 48,230 0.3 Not rated 275,377 1.5 Total $ 18,022,113 100.0 December 31, 2020 U.S. government and gov't agencies (1) $ 5,963,758 31.8 AAA 3,117,046 16.6 AA 2,063,738 11.0 A 3,760,280 20.0 BBB 2,699,201 14.4 BB 574,189 3.1 B 268,095 1.4 Lower than B 54,795 0.3 Not rated 270,194 1.4 Total $ 18,771,296 100.0 (1)IncludesU.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities. The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position: % of Gross Total Gross Unrealized Unrealized Severity of gross unrealized losses: Estimated Fair Value Losses Losses June 30, 2021 0-10% $ 7,387,667$ (68,781) 92.0 10-20% 28,039 (4,166) 5.6 20-30% 1,999 (553) 0.7 Greater than 30% 1,326 (1,239) 1.7 Total $ 7,419,031$ (74,739) 100.0 December 31, 2020 0-10% $ 3,583,981$ (55,542) 79.4 10-20% 95,495 (12,183) 17.4 20-30% 1,061 (406) 0.6 Greater than 30% 1,249 (1,785) 2.6 Total $ 3,681,786$ (69,916) 100.0 The following table summarizes our top ten exposures to fixed income corporate issuers by fair value atJune 30, 2021 , excluding guaranteed amounts and covered bonds: Credit Estimated Fair Value Rating (1) Bank of America Corporation $ 373,742 A-/A2 JPMorgan Chase & Co. 372,381 A-/A2 Citigroup Inc. 288,574 BBB+/A3 Morgan Stanley 253,549 BBB+/A1 Wells Fargo & Company 247,222 BBB+/A2 The Goldman Sachs Group, Inc. 185,647 BBB+/A2 Nestlé S.A. 129,191 AA-/Aa3 Amazon.com, Inc. 118,047 AA/A1 Nippon Telegraph and Telephone Corporation 95,958 A/A1 AT&T Inc. 92,795 BBB/Baa2 Total $ 2,157,106
(1)Average credit ratings as assigned by S&P and Moody's, respectively.
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Table of Contents The following table provides information on our structured securities, which includes residential mortgage-backed securities ("RMBS"), commercial mortgage-backed securities ("CMBS") and asset-backed securities ("ABS"): Agencies Investment Grade Below Investment Grade TotalJun 30, 2021 RMBS$ 336,784 $ 14,716 $ 23,065$ 374,565 CMBS 28,917 213,655 25,002 267,574 ABS - 2,206,453 220,464 2,426,917 Total$ 365,701 $ 2,434,824 $ 268,531$ 3,069,056 Dec 31, 2020 RMBS$ 584,499 $ 4,102 $ 28,018$ 616,619 CMBS 24,396 342,491 24,103 390,990 ABS - 1,403,137 163,051 1,566,188 Total$ 608,895 $ 1,749,730 $ 215,172$ 2,573,797
The following table summarizes our equity securities, which include investments in exchange traded funds:
June 30, December 31, 2021 2020 Equities (1)$ 864,688 $ 676,437 Exchange traded funds Fixed income (2) 304,723 341,139 Equity and other (3) 464,168 418,528 Total$ 1,633,579 $ 1,436,104
(1)Primarily in consumer non-cyclical, consumer cyclical, technology,
communications and financial stocks at
The following table summarizes our other investments and other investable assets: June 30, December 31, 2021 2020 Lending$ 638,786 $ 572,636 Term loan investments 474,859 380,193 Energy 84,891 65,813 Credit related funds 73,171 90,780 Investment grade fixed income 110,375 138,646 Infrastructure 32,109 165,516 Private equity 70,878 48,750 Real estate 27,248 18,013 Total fair value option$ 1,512,317 $ 1,480,347 Other investable assets$ 500,000 $ 500,000 Total other investments$ 2,012,317 $ 1,980,347 For details on our investments accounted for using the equity method, see note 7, "Investment Information-Investments Accounted For Using the Equity Method," to our consolidated financial statements. Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 9, "Derivative Instruments," to our consolidated financial statements for additional disclosures related to derivatives. Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 8, "Fair Value," to our consolidated financial statements for a summary of our financial assets and liabilities measured at fair value, segregated by level in the fair value hierarchy. Investable Assets in the 'Other' Segment Investable assets in the 'other' segment are managed byWatford . The board of directors ofWatford establishes its investment policies and guidelines. A significant amount ofWatford's investments are accounted for using the fair value option with changes in the carrying value of such investments recorded in net realized gains or losses. The following table summarizes investable assets in the 'other' segment: June 30,
2021
2020
Investments accounted for using the fair value option: Other investments$ 858,155 $ 851,538 Fixed maturities 578,280 455,163 Short-term investments 478,711 418,690 Equity securities 69,773 64,994 Total 1,984,919 1,790,385 Fixed maturities available for sale, at fair value 625,422 613,503 Equity securities, at fair value 97,623 52,410 Cash 349,202 211,451 Securities sold but not yet purchased (28,068) (21,679)
Securities transactions entered into but not settled at the balance sheet date
(97,055) 11,542
Total investable assets included in 'other' segment
$ 2,657,612 ARCH CAPITAL 59 2021 SECOND QUARTER FORM 10-Q
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Table of Contents Reinsurance The effects of reinsurance on written and earned premiums and losses and loss adjustment expenses ("LAE") with unaffiliated reinsurers were as follows: Three Months Ended Six Months Ended June 30, June 30, 2021 2020 2021 2020 Premiums written: Direct$ 1,909,893 $ 1,485,627 $ 3,802,138 $ 3,174,425 Assumed 1,376,398 832,065 2,881,359 1,976,097 Ceded (886,767) (649,381) (1,775,516) (1,344,965) Net$ 2,399,524 $ 1,668,311 $ 4,907,981 $ 3,805,557 Premiums earned: Direct$ 1,795,899 $ 1,559,222 $ 3,508,824 $ 3,105,047 Assumed 1,091,968 746,188 2,039,582 1,507,262 Ceded (766,958) (640,056) (1,479,075) (1,202,511) Net$ 2,120,909 $ 1,665,354 $ 4,069,331 $ 3,409,798 Losses and LAE: Direct$ 1,046,579 $ 1,162,958 $ 2,032,512 $ 2,148,041 Assumed 554,256 508,108 1,221,567 1,053,977 Ceded (441,004) (440,544) (891,148) (856,077) Net$ 1,159,831 $ 1,230,522 $ 2,362,931 $ 2,345,941 See note 6, "Allowance for Expected Credit Losses," to our consolidated financial statements for information about our reinsurance recoverables and related allowance for credit losses. Bellemeade Re We have entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled inBermuda (the "Bellemeade Agreements"). For the respective coverage periods, we will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. We will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage generally decreases over a ten-year period as the underlying covered mortgages amortize, unless provisional call options embedded within certain of the Bellemeade Agreements are executed or if pre-defined delinquency triggering events occur. The following table summarizes the respective coverages and retentions atJune 30, 2021 : June 30, 2021 Initial Coverage Remaining at Issuance Current Coverage Retention, Net Bellemeade 2017-1 Ltd. (1)$ 368,114 $ 145,573$ 125,297 Bellemeade 2018-1 Ltd. (2) 374,460 250,095 123,173 Bellemeade 2018-3 Ltd. (3) 506,110 302,563 126,127 Bellemeade 2019-1 Ltd. (4) 341,790 219,256 102,017 Bellemeade 2019-2 Ltd. (5) 621,022 398,316 156,718 Bellemeade 2019-3 Ltd. (6) 700,920 528,084 176,565 Bellemeade 2019-4 Ltd. (7) 577,267 468,737 113,415 Bellemeade 2020-1 Ltd. (8) 528,540 18,843 747,799 Bellemeade 2020-2 Ltd. (9) 449,167 328,375 232,481 Bellemeade 2020-3 Ltd. (10) 451,816 451,816 163,905 Bellemeade 2020-4 Ltd. (11) 337,013 281,750 138,183 Bellemeade 2021-1 Ltd. (12) 643,577 643,577 166,199 Bellemeade 2021-2 Ltd. (13) 616,017 616,017 152,734 Total$ 6,515,813 $ 4,653,002 $ 2,524,613 (1) Issued inOctober 2017 , covering in-force policies issued betweenJanuary 1, 2017 andJune 30, 2017 . (2) Issued inApril 2018 , covering in-force policies issued betweenJuly 1, 2017 andDecember 31, 2017 . (3) Issued inOctober 2018 , covering in-force policies issued betweenJanuary 1, 2018 andJune 30, 2018 . (4) Issued inMarch 2019 , covering in-force policies primarily issued between 2005-2008 underUnited Guaranty Residential Insurance Company ("UGRIC"); as well as policies issued through 2015 under bothUGRIC andArch Mortgage Insurance Company . (5) Issued inApril 2019 , covering in-force policies issued betweenJuly 1, 2018 andDecember 31, 2018 . (6) Issued inJuly 2019 , covering in-force policies issued in 2016. (7) Issued inOctober 2019 , covering in-force policies issued betweenJanuary 1, 2019 andJune 30, 2019 . (8) Issued in June 2020, covering in-force policies issued between July 1, 2019 andDecember 31, 2019 .$450 million was directly funded by Bellemeade 2020-1 Ltd. with an additional$79 million of capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. (9) Issued inSeptember 2020 , covering in-force policies issued betweenJanuary 1, 2020 andMay 31, 2020 .$423 million was directly funded by Bellemeade 2020-2 Ltd. with an additional$26 million of capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. (10) Issued inNovember 2020 , covering in-force policies issued betweenJune 1, 2020 andAugust 31, 2020 .$418 million was directly funded by Bellemeade 2020-3 Ltd. with an additional$34 million of capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. (11) Issued inDecember 2020 , covering in-force policies issued betweenJuly 1, 2019 andDecember 31, 2019 .$321 million was directly funded by Bellemeade 2020-4 Ltd. with an additional$16 million of capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. (12) Issued inMarch 2021 , covering in-force policies issued betweenSeptember 1, 2020 andNovember 30, 2020 .$580 million was directly funded by Bellemeade Re 2021-1 Ltd. with an additional$64 million capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. (13) Issued inJune 2021 , covering in-force policies issued betweenDecember 1, 2020 andMarch 31, 2021 .$523 million was directly funded by Bellemeade Re 2021-2 Ltd. via insurance-linked notes, with an additional$93 million capacity provided directly to Arch MIU.S. by a separate panel of reinsurers. ARCH CAPITAL 60 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents Reserve for Losses and Loss Adjustment Expenses We establish reserve for losses and loss adjustment expenses ("Loss Reserves") which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. AtJune 30, 2021 andDecember 31, 2020 , our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows: June 30, December 31, 2021 2020 Insurance segment: Case reserves$ 2,100,109 $ 2,051,640 IBNR reserves 4,117,169 3,889,823 Total net reserves 6,217,278 5,941,463 Reinsurance segment: Case reserves 1,523,486 1,560,523 Additional case reserves 432,516 280,472 IBNR reserves 2,435,575 2,253,953 Total net reserves 4,391,577 4,094,948 Mortgage segment: Case reserves 704,314 631,921 IBNR reserves 266,690 271,702 Total net reserves 971,004 903,623 Other segment: Case reserves 682,341 566,587 Additional case reserves 47,774 32,321 IBNR reserves 740,654 660,132 Total net reserves 1,470,769 1,259,040 Total: Case reserves 5,010,250 4,810,671 Additional case reserves 480,290 312,793 IBNR reserves 7,560,088 7,075,610 Total net reserves$ 13,050,628 $ 12,199,074
At
June 30, December 31, 2021 2020 Insurance segment: Professional lines (1)$ 1,516,878 $ 1,482,820
Construction and national accounts 1,470,201 1,395,067 Excess and surplus casualty (2)
859,662 816,495 Programs 748,015 699,354 Property, energy, marine and aviation 500,880 517,692 Travel, accident and health 96,345 98,910 Lenders products 64,560 48,946 Other (3) 960,737 882,179 Total net reserves$ 6,217,278 $ 5,941,463 (1)Includes professional liability, executive assurance and healthcare business. (2)Includes casualty and contract binding business. (3)Includes alternative markets, excess workers' compensation and surety business. AtJune 30, 2021 andDecember 31, 2020 , the reinsurance segment's Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows: June 30, December 31, 2021 2020 Reinsurance segment: Casualty (1)$ 2,024,591 $ 1,995,849 Other specialty (2) 955,770 917,178 Property excluding property catastrophe 668,339 594,033 Marine and aviation 215,345 204,205 Property catastrophe 410,034 268,858 Other (3) 117,498 114,825 Total net reserves$ 4,391,577 $ 4,094,948 (1)Includes executive assurance, professional liability, workers' compensation, excess motor, healthcare and other. (2)Includes non-excess motor, surety, accident and health, workers' compensation catastrophe, agriculture, trade credit and other. (3)Includes life, casualty clash and other. AtJune 30, 2021 andDecember 31, 2020 , the mortgage segment's Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows: June 30, December 31, 2021 2020
257,869 253,875 Total net reserves$ 971,004 $ 903,623
(1) At
ARCH CAPITAL 61 2021 SECOND QUARTER FORM 10-Q
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Table of Contents Mortgage Operations Supplemental Information The mortgage segment's insurance in force ("IIF") and risk in force ("RIF") were as follows atJune 30, 2021 andDecember 31, 2020 : (U.S. Dollars in millions) June 30, 2021 December 31, 2020 Amount % Amount % Insurance In Force (IIF) (1): U.S. primary mortgage insurance$ 277,887 65.8 $ 280,579 66.2 Mortgage reinsurance 32,666 7.7 31,220 7.4 Other (2) 111,884 26.5 111,740 26.4 Total$ 422,437 100.0 $ 423,539 100.0 Risk In Force (RIF) (3): U.S. primary mortgage insurance$ 69,587 90.3 $ 70,522 90.5 Mortgage reinsurance 2,245 2.9 2,226 2.9 Other (2) 5,188 6.7 5,146 6.6 Total$ 77,020 100.0 $ 77,894 100.0 (1)Represents the aggregate dollar amount of each insured mortgage loan's current principal balance. (2)Includes GSE credit risk-sharing transactions and international insurance business. (3)Represents the aggregate dollar amount of each insured mortgage loan's current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions. The IIF and RIF for ourU.S. primary mortgage insurance business by policy year were as follows atJune 30, 2021 : (U.S. Dollars in millions) IIF RIF Delinquency Amount % Amount % Rate (1) Policy year: 2011 and prior$ 12,591 4.5$ 2,839 4.1 9.75 % 2012 2,261 0.8 587 0.8 3.00 % 2013 5,635 2.0 1,563 2.2 2.95 % 2014 6,288 2.3 1,729 2.5 3.52 % 2015 11,208 4.0 3,017 4.3 3.19 % 2016 18,500 6.7 4,958 7.1 4.11 % 2017 17,577 6.3 4,574 6.6 4.87 % 2018 19,044 6.9 4,827 6.9 6.25 % 2019 34,944 12.6 8,727 12.5 4.02 % 2020 95,419 34.3 23,316 33.5 0.88 % 2021 54,420 19.6 13,450 19.3 0.10 % Total$ 277,887 100.0$ 69,587 100.0 3.11 % (1)Represents the ending percentage of loans in default. The IIF and RIF for ourU.S. primary mortgage insurance business by policy year were as follows atDecember 31, 2020 : (U.S. Dollars in millions) IIF RIF Delinquency Amount % Amount % Rate (1) Policy year: 2011 and prior$ 14,588 5.2$ 3,327 4.7 11.36 % 2012 3,651 1.3 992 1.4 2.98 % 2013 7,546 2.7 2,107 3.0 3.30 % 2014 8,261 2.9 2,273 3.2 4.06 % 2015 15,032 5.4 4,048 5.7 3.72 % 2016 24,958 8.9 6,648 9.4 4.77 % 2017 24,748 8.8 6,413 9.1 5.52 % 2018 27,304 9.7 6,918 9.8 6.76 % 2019 48,304 17.2 12,001 17.0 4.61 % 2020 106,187 37.8 25,795 36.6 0.76 % Total$ 280,579 100.0$ 70,522 100.0 4.19 % (1)Represents the ending percentage of loans in default. The following tables provide supplemental disclosures on risk in force for ourU.S. primary mortgage insurance business atJune 30, 2021 andDecember 31, 2020 : (U.S. Dollars in millions) June 30, 2021 December 31, 2020 Amount % Amount % Credit quality (FICO): >=740$ 41,156 59.1 $ 40,774 57.8 680-739 23,663 34.0 24,498 34.7 620-679 4,401 6.3 4,837 6.9 <620 367 0.5 413 0.6 Total$ 69,587 100.0 $ 70,522 100.0 Weighted average FICO score 745 743 Loan-to-value (LTV): 95.01% and above$ 7,975 11.5 $ 8,643 12.3 90.01% to 95.00% 37,619 54.1 37,877 53.7 85.01% to 90.00% 19,784 28.4 20,013 28.4 85.00% and below 4,209 6.0 3,989 5.7 Total$ 69,587 100.0 $ 70,522 100.0 Weighted average LTV 92.8 % 92.8 % Total RIF, net of external reinsurance$ 55,557 $ 56,658 ARCH CAPITAL 62 2021 SECOND QUARTER FORM 10-Q
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Table of Contents (U.S. Dollars in millions) June 30, 2021 December 31, 2020 Amount % Amount % Total RIF by State: Texas$ 5,560 8.0 $ 5,636 8.0 California 5,324 7.7 5,261 7.5 Florida 3,367 4.8 3,632 5.2 Minnesota 2,973 4.3 2,520 3.6 North Carolina 2,924 4.2 2,622 3.7 Georgia 2,886 4.1 2,959 4.2 Illinois 2,832 4.1 2,762 3.9 Massachusetts 2,459 3.5 2,464 3.5 Virginia 2,372 3.4 2,526 3.6 Ohio 2,229 3.2 2,264 3.2 Other 36,661 52.7 37,876 53.7 Total$ 69,587 100.0 $ 70,522 100.0
The following table provides supplemental disclosures for our
Six Months Ended claim count) June 30, 2021 2020 Roll-forward of insured loans in default: Beginning delinquent number of loans 52,234 20,163 New notices 18,415 67,793 Cures (32,924) (22,205) Paid claims (406) (1,084) Ending delinquent number of loans (1) 37,319 64,667 Ending number of policies in force (1) 1,199,918 1,259,328 Delinquency rate (1) 3.11 % 5.14 % Losses: Number of claims paid 406 1,084 Total paid claims $ 15,297 $ 46,139 Average per claim $ 37.7 $ 42.6 Severity (2) 81.0 % 94.3 % Average case reserve per default (in thousands) $ 19.5 $ 6.9 (1)Includes first lien primary and pool policies. (2)Represents total paid claims divided by RIF of loans for which claims were paid. The risk to capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MIU.S. was approximately 8.5 to 1 atJune 30, 2021 , compared to 9.3 to 1 atDecember 31, 2020 . Shareholders' Equity and Book Value per Share The following table presents the calculation of book value per share: (U.S. dollars in thousands, except June 30, December 31, share data) 2021 2020 Total shareholders' equity available to Arch$ 13,986,072 $ 13,105,886 Less preferred shareholders' equity 1,280,000 780,000 Common shareholders' equity available to Arch$ 12,706,072 $ 12,325,886 Common shares and common share equivalents outstanding, net of treasury shares (1) 396,771,251 406,720,642 Book value per share $ 32.02 $ 30.31
(1)Excludes the effects of 17,717,327 and 17,839,333 stock options and 759,926
and 1,153,784 restricted stock units outstanding at
LIQUIDITY
This section does not include information specific toWatford . We do not guarantee or provide credit support forWatford , and our financial exposure toWatford is limited to our investment inWatford's senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions withWatford . Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally,Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares. For the six months endedJune 30, 2021 ,Arch Capital received dividends of$563.7 million from Arch Re Bermuda, ourBermuda -based reinsurer and insurer, which can pay approximately$3.2 billion toArch Capital during the remainder of 2021 without providing an affidavit to theBermuda Monetary Authority ("BMA"). InJune 2021 ,Arch Capital completed a$500.0 million underwritten public offering of 20.0 million depositary shares, each of which represents a 1/1,000th interest in a share of its 4.550% Non-Cumulative Preferred Shares. See
no te 2 , " Share Transactions. "
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Table of Contents We expect that our liquidity needs, including our anticipated (re)insurance obligations and operating and capital expenditure needs, for the next twelve months, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities. Cash Flows The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the 'other' segment (i.e., Watford). See note 11, "Variable Interest Entities and Noncontrolling Interests," for cash flows related to Watford. Six Months Ended June 30, 2021 2020 Total cash provided by (used for): Operating activities$ 1,565,718 $ 1,234,383 Investing activities (1,174,033) (1,888,221) Financing activities 8,352 824,990
Effects of exchange rate changes on foreign currency cash (9,868)
(15,384)
Increase (decrease) in cash and restricted cash$ 390,169
•Cash provided by operating activities for the six months endedJune 30, 2021 reflected a higher level of premiums collected than in the 2020 period. •Cash used for investing activities for the six months endedJune 30, 2021 was lower than in the 2020 period. Activity for the six months endedJune 30, 2021 reflected our$546.3 million purchase of a 29.5% interest in Coface, while the 2020 period reflected a higher level of securities purchased, and the investing of proceeds from our issuance of the senior notes. •Cash used for financing activities for the six months endedJune 30, 2021 was lower than cash used in the 2020 period, reflecting$485.8 million inflow from issuance of preferred shares and$485.3 million of repurchases under our share repurchase program. Activity for the 2020 period primarily reflected the issuance of$1.0 billion of our senior notes and$75.5 million of repurchases under our share repurchase program. CAPITAL RESOURCES This section does not include information specific toWatford . We do not guarantee or provide credit support forWatford , and our financial exposure toWatford is limited to our investment inWatford's senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions withWatford . The following table provides an analysis of our capital structure: (U.S. dollars in thousands, except Jun 30, Dec 31, share data) 2021 2020 Senior notes$ 2,723,903 $ 2,723,423
Shareholders' equity available to Arch:
Series E non-cumulative preferred shares
330,000 Series G non-cumulative preferred shares 500,000 - Common shareholders' equity 12,706,072 12,325,886 Total$ 13,986,072 $ 13,105,886 Total capital available to Arch$ 16,709,975 $ 15,829,309 Debt to total capital (%) 16.3 17.2 Preferred to total capital (%) 7.7 4.9 Debt and preferred to total capital (%) 24.0 22.1 Arch MIU.S. is required to maintain compliance with the GSEs requirements, known as the Private Mortgage Insurer Eligibility Requirements or "PMIERs." The financial requirements require an eligible mortgage insurer's available assets, which generally include only the most liquid assets of an insurer, to meet or exceed "minimum required assets" as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MIU.S. satisfied the PMIERs' financial requirements as ofJune 30, 2021 with an estimated PMIER sufficiency ratio of 196%, compared to 173% atDecember 31, 2020 .Arch Capital , through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business. The reinsurance agreements between ourU.S. -based property casualty insurance and reinsurance subsidiaries and Arch Re Bermuda were canceled on a cutoff basis as ofJanuary 1 , ARCH CAPITAL 64 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents 2018. In 2019, certain reinsurance agreements between our insurance subsidiaries and Arch Re Bermuda were reinstated. GUARANTOR INFORMATION The below table provides a description of our senior notes payable atJune 30, 2021 , excluding amounts attributable to the 'other' segment (i.e.,Watford ): Interest Principal Carrying Issuer/Due (Fixed) Amount Amount Arch Capital: May 1, 2034 7.350 %$ 300,000 $ 297,426 June 30, 2050 3.635 % 1,000,000 988,609 Arch-U.S.: Nov. 1, 2043 (1) 5.144 % 500,000 495,003 Arch Finance: Dec. 15, 2026 (1) 4.011 % 500,000 497,420 Dec. 15, 2046 (1) 5.031 % 450,000 445,445 Total$ 2,750,000 $ 2,723,903 (1)Fully and unconditionally guaranteed byArch Capital . Our senior notes were issued byArch Capital ,Arch Capital Group (U.S.) Inc. ("Arch-U.S. ") and Arch Capital Finance LLC ("Arch Finance"). Arch-U.S. is a wholly-owned subsidiary ofArch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued byArch Capital are unsecured and unsubordinated obligations ofArch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. andArch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. andArch Capital . The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations ofArch Finance andArch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness ofArch Finance andArch Capital . Arch-U.S. and Arch Finance depend on their available cash resources, liquid investments and dividends or other distributions from their subsidiaries or affiliates to make payments, including the payment of debt service obligations and operating expenses they may incur.
The following tables present condensed financial information for
June 30, 2021 December 31, 2020 Arch Capital Arch-U.S. Arch Capital Arch-U.S. Assets Total investments$ 508 $ 373,784 $ 172 $ 396,547 Cash 15,239 27,434 18,932 11,368 Investment in operating affiliates 7,294 - 7,731 - Due from subsidiaries and affiliates - 225,006 - 201,515 Other assets 15,244 27,568 10,659 34,405 Total assets$ 38,285 $ 653,792 $ 37,494 $ 643,835 Liabilities Senior notes 1,286,035 495,003 1,285,867 494,944 Due to subsidiaries and affiliates - 551,760 - 586,805 Other liabilities 20,172 42,582 23,270 41,876 Total liabilities$ 1,306,207 $ 1,089,345 $ 1,309,137 $ 1,123,625 Non-cumulative preferred shares$ 1,280,000 -$ 780,000 - ARCH CAPITAL 65 2021 SECOND QUARTER FORM 10-Q
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Six Months Ended Year Ended June 30, 2021 December 31, 2020 Arch Capital Arch-U.S. Arch Capital Arch-U.S. Revenues Net investment income $ 796$ 5,007 $ 53$ 18,084 Net realized gains (losses) - 70,522 (2,110) 26,096 Equity in net income (loss) of investments accounted for using the equity method - 10,678 - 2,507 Total revenues 796 86,207 (2,057) 46,687 Expenses Corporate expenses 37,021 3,007 65,566 7,227 Interest expense 29,369 23,567 40,445 47,566 Net foreign exchange (gains) losses 6 - 3 - Total expenses 66,396 26,574 106,014 54,793 Income (loss) before income taxes and income (loss) from operating affiliates (65,600) 59,633 (108,071) (8,106) Income tax (expense) benefit - (14,731) - 2,689 Income (loss) from operating affiliates (317) - (437) - Net income available to Arch (65,917) 44,902 (108,508) (5,417) Preferred dividends (22,069) - (41,612) - Net income available to Arch common shareholders$ (87,986) $ 44,902 $ (150,120) $ (5,417) SHARE REPURCHASE PROGRAM The board of directors ofArch Capital has authorized the investment inArch Capital's common shares through a share repurchase program. For the six months endedJune 30, 2021 ,Arch Capital repurchased 13.1 million shares under the share repurchase program with an aggregate purchase price of$485.3 million . Since the inception of the share repurchase program throughJune 30, 2021 ,Arch Capital has repurchased 402.3 million common shares for an aggregate purchase price of$4.54 billion . AtJune 30, 2021 , approximately$431.2 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions throughDecember 31, 2021 . The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Man-made catastrophic events may include acts of war, acts of terrorism and political instability. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers' compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time. Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders' equity available to Arch (total shareholders' equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time. Based on in-force exposure estimated as ofJuly 1, 2021 , our modeled peak zone catastrophe exposure was a windstorm affecting theNortheastern U.S. , with a net probable maximum pre-tax loss of$676 million , followed by windstorms affecting the Florida Tri-County and theGulf of Mexico regions with net probable maximum pre-tax losses of$669 and$662 million , respectively. Our exposures to other perils, such asU.S. earthquake and international events, were less than the exposures arising fromU.S. windstorms and ARCH CAPITAL 66 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents hurricanes. As ofJuly 1, 2021 , our modeled peak zone earthquake exposure (San Francisco earthquake) represented approximately 75% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (UK windstorm) was substantially less than both our peak zone windstorm and earthquake exposures. EffectiveJuly 1, 2021 , our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to$279 million in excess of various retentions per occurrence. We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For ourU.S. mortgage insurance business, we have developed a proprietary risk model ("Realistic Disaster Scenario" or "RDS") that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information. Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of tangible shareholders' equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as ofJuly 1, 2021 , our modeled RDS loss was approximately 6% of tangible shareholders' equity available to Arch. Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders' equity from one or more catastrophic events or severe economic events due to several factors. These factors include the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See "Risk Factors-Risks Relating to Our Industry" and "Management's Discussion and Analysis of Financial Condition and Results of Operations-Catastrophic Events and Severe Economic Events" in our 2020 Form 10-K. OFF-BALANCE SHEET ARRANGEMENTS Off-balance sheet arrangements are discussed in Management's Discussion and Analysis of Financial Condition and Results of Operations contained in our 2020 Form 10-K. MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT In accordance with theSEC's Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as ofJune 30, 2021 . Market risk represents the risk of changes in the fair value of a financial instrument and is comprised of several components, including liquidity, basis and price risks. We have not includedWatford in the following analyses as we do not guarantee or provide credit support forWatford , and our financial exposure toWatford is limited to our investment inWatford's senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions. An analysis of material changes in market risk exposures atJune 30, 2021 that affect the quantitative and qualitative disclosures presented in our 2020 Form 10-K (see section captioned "Management's Discussion and Analysis of Financial Condition and Results of Operations-Market Sensitive Instruments and Risk Management") were as follows: Investment Market RiskFixed Income Securities . We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, "Fixed Income Securities ") and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income ARCH CAPITAL 67 2021 SECOND QUARTER FORM 10-Q -------------------------------------------------------------------------------- Table of Contents Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes inU.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables. The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on ourFixed Income Securities : (U.S. dollars in Interest Rate Shift in Basis Points billions) -100 -50 - +50 +100 Jun 30, 2021 Total fair value$ 25.83 $ 25.45 $ 25.08 $ 24.70 $ 24.33 Change from base 3.0 % 1.5 % (1.5) % (3.0) % Change in unrealized value$ 0.75 $ 0.38 $ (0.38) $ (0.75) Dec 31, 2020 Total fair value$ 25.82 $ 25.44 $ 25.07 $ 24.69 $ 24.31 Change from base 3.0 % 1.5 % (1.5) % (3.0) % Change in unrealized value$ 0.75 $ 0.38 $ (0.38) $ (0.75) In addition, we consider the effect of credit spread movements on the market value of ourFixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of ourFixed Income Securities falls, and the converse is also true. In periods where the spreads on ourFixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value. The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on ourFixed Income Securities : (U.S. dollars in Credit Spread Shift in Percentage Points billions) -100 -50 - +50 +100 Jun 30, 2021 Total fair value$ 25.55 $ 25.33 $ 25.08 $ 24.83 $ 24.60 Change from base 1.9 % 1.0 % (1.0) % (1.9) % Change in unrealized value$ 0.48 $ 0.25 $ (0.25) $ (0.48) Dec 31, 2020 Total fair value$ 25.54 $ 25.32 $ 25.07 $ 24.82 $ 24.59 Change from base 1.9 % 1.0 % (1.0) % (1.9) % Change in unrealized value$ 0.48 $ 0.25 $
(0.25)
Another method that attempts to measure portfolio risk is Value-at-Risk ("VaR"). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio's initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As ofJune 30, 2021 , our portfolio's VaR was estimated to be 6.1% compared to an estimated 4.3% atDecember 31, 2020 . In periods where the volatility of the risk factors mapped to our portfolio's exposures is higher due to market conditions, the resulting VaR is higher than in other periods.Equity Securities . AtJune 30, 2021 andDecember 31, 2020 , the fair value of our investments in equity securities (excluding securities included inFixed Income Securities above) totaled$1.3 billion and$1.1 billion , respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately$132.9 million and$109.5 million atJune 30, 2021 andDecember 31, 2020 , respectively, and would have decreased book value per share by approximately$0.33 and$0.27 , respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately$132.9 million and$109.5 million atJune 30, 2021 andDecember 31, 2020 , respectively, and would have increased book value per share by approximately$0.33 and$0.27 , respectively. Investment-Related Derivatives. AtJune 30, 2021 , the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was$7.5 billion , compared to$8.6 billion atDecember 31, 2020 . If the underlying exposure of each investment-related derivative held atJune 30, 2021 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately$75.0 million , and a decrease in book value per share of approximately$0.19 per share, compared to$85.7 million and$0.21 per share, respectively, on investment-related derivatives held atDecember 31, 2020 . If the underlying exposure of each investment-related derivative held atJune 30, 2021 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately$75.0 million , and an increase in book value per share of approximately$0.19 per share, compared to$85.7 million and$0.21 per share, respectively, on ARCH CAPITAL 68 2021 SECOND QUARTER FORM 10-Q
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Table of Contents investment-related derivatives held atDecember 31, 2020 . See note 9, "Derivative Instruments," to our consolidated financial statements for additional disclosures concerning derivatives. For further discussion on investment activity, please refer to "Financial Condition-Investable Assets." Foreign Currency Exchange Risk Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than theU.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 9, "Derivative Instruments," to our consolidated financial statements for additional information. The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
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