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Variable Interest Entity and Noncontrolling Interests
 12 Months Ended
Dec. 31, 2022
Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract]  
Variable Interest Entity and Noncontrolling Interests
Somers Holdings Ltd.
In March 2014, the Company invested $100.0 million and acquired 2,500,000 common shares of Somers. Somers was considered a VIE and the Company concluded that it was the primary beneficiary of Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, the Company no longer consolidates the results of Somers in its consolidated financial statements and footnotes. The Company classifies its investment as ‘investments in operating affiliates’ on the Company’s balance sheets and is accounted for under the equity method.
The following table summarizes Somers’ cash flow from operating, investing and financing activities.
Year Ended December 31,
202220212020
Total cash provided by (used for):
Operating activities— 46,991 181,736 
Investing activities— 96,325 258,589 
Financing activities— (2,042)(335,776)
Non-redeemable noncontrolling interests
The following table sets forth activity in the non-redeemable noncontrolling interests:
December 31,
 2022

2021
Balance, beginning of year$— $823,007 
Impact of deconsolidation of Somers— (918,874)
Additional paid in capital attributable to noncontrolling interests — 22,113 
Amounts attributable to noncontrolling interests— 78,314 
Other comprehensive (income) loss attributable to noncontrolling interests— (4,560)
Balance, end of year$— $— 
Redeemable noncontrolling interests
The following table sets forth activity in the redeemable noncontrolling interests:
December 31,
 2022

20212020
Balance, beginning of year$9,233 $58,548 $55,404 
Impact of deconsolidation of Somers— (48,919)— 
Other1,596 (396)3,144 
Balance, end of year$10,829 $9,233 $58,548 
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202220212020
Amounts attributable to non-redeemable noncontrolling interests$— $(78,314)$(53,076)
Amounts attributable to redeemable noncontrolling interests(5,490)(4,299)(7,114)
Net (income) loss attributable to noncontrolling interests$(5,490)$(82,613)$(60,190)
Bellemeade Re
The Company has entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements.

The following table presents the total assets of the Bellemeade entities, as well as the Company’s maximum exposure to loss associated with these VIEs, calculated as the maximum historical observable spread between the benchmark index for each respective transaction and short term invested trust asset yields. The benchmark index for agreements effective prior to 2021 is based on one-month LIBOR, while the 2021 and later agreements benchmark index is based on the Secured Overnight Financing Rate (“SOFR”). SOFR is a measure of the cost of borrowing cash overnight, collateralized by U.S. Treasury securities, and is based on directly observable U.S. Treasury-backed repurchase transactions.

December 31, 2022December 31, 2021
Maximum Exposure to LossMaximum Exposure to Loss
Bellemeade Entities (Issue Date)Total VIE AssetsOn-Balance Sheet (Asset) LiabilityOff-Balance SheetTotalCoverage
Remaining from
Reinsurers (1)		Total VIE AssetsOn-Balance Sheet (Asset) LiabilityOff-Balance SheetTotal
2017-1 Ltd. (Oct-17)$36,679 $(6)$14 $8 $— $108,368 $(159)$424 $265 
2018-1 Ltd. (Apr-18)89,698 (153)508 355 — 181,136 (528)1,268 740 
2018-3 Ltd. (Oct-18)199,237 (250)771 521 — 302,563 (1,018)2,496 1,478 
2019-1 Ltd. (Mar-19)107,880 (48)593 545 — 181,324 (380)5,807 5,427 
2019-2 Ltd. (Apr-19)325,462 (206)4,356 4,150 — 398,316 (515)3,998 3,483 
2019-3 Ltd. (Jul-19)222,977 (104)1,229 1,125 — 409,859 (584)3,190 2,606 
2019-4 Ltd. (Oct-19)266,124 (142)3,640 3,498 — 411,954 (462)4,759 4,297 
2020-2 Ltd. (Sep-20)105,110 (8)492 484 — 217,766 (177)1,984 1,807 
2020-3 Ltd. (Nov-20)243,891 53 2,872 2,925 7,079 348,818 (128)5,793 5,665 
2020-4 Ltd. (Dec-20)97,563 32 642 674 4,165 176,826 (50)1,630 1,580 
2021-1 Ltd. (Mar-21) 467,469 239 2,743 2,982 35,798 568,986 (303)3,283 2,980 
2021-2 Ltd. (Jun-21)458,362 581 2,855 3,436 77,099 522,807 281 4,124 4,405 
2021-3 Ltd. (Sep-21)489,927 217 2,704 2,921 127,032 507,873 (411)3,446 3,035 
2022-1 Ltd. (Jan-22)283,500 399 1,765 2,164 33,260 
2022-2 Ltd. (Sep-22)201,005 1,172 1,616 2,788 126,160 
Total$3,594,884 $1,776 $26,800 $28,576 $410,593 $4,336,596 $(4,434)$42,202 $37,768 
(1) Coverage from a separate panel of reinsurers remaining at December 31, 2022.