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Variable Interest Entities and Noncontrolling Interests - Other variable interest entity disclosures (Details) - USD ($) $ in Thousands | Sep. 30, 2021 | Dec. 31, 2020
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Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | $ 44,783,736 |  | $ 43,282,297
Maximum Exposure to Loss, Total |  | 2,918,177 |  | 2,232,609
Variable Interest Entity, Not Primary Beneficiary |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 4,731,717 |  | 3,859,058
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (4,710) |  | (7,969)
Maximum Exposure to Loss - Off-Balance Sheet |  | 52,461 |  | 56,320
Maximum Exposure to Loss, Total |  | 47,751 |  | 48,351
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2017-1 Ltd. (Oct-17) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 145,573 |  | 145,573
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (214) |  | (245)
Maximum Exposure to Loss - Off-Balance Sheet |  | 585 |  | 844
Maximum Exposure to Loss, Total |  | 371 |  | 599
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-1 Ltd. (Apr-18) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 228,938 |  | 250,095
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (764) |  | (903)
Maximum Exposure to Loss - Off-Balance Sheet |  | 1,683 |  | 2,245
Maximum Exposure to Loss, Total |  | 919 |  | 1,342
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-2 Ltd. (Aug-18) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 0 |  | 108,395
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | 0 |  | (138)
Maximum Exposure to Loss - Off-Balance Sheet |  | 0 |  | 280
Maximum Exposure to Loss, Total |  | 0 |  | 142
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-3 Ltd. (Oct-18) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 302,563 |  | 302,563
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (1,049) |  | (1,320)
Maximum Exposure to Loss - Off-Balance Sheet |  | 2,328 |  | 3,262
Maximum Exposure to Loss, Total |  | 1,279 |  | 1,942
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-1 Ltd. (Mar-19) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 210,529 |  | 219,256
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (931) |  | (1,361)
Maximum Exposure to Loss - Off-Balance Sheet |  | 8,142 |  | 8,461
Maximum Exposure to Loss, Total |  | 7,211 |  | 7,100
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-2 Ltd. (Apr-19) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 398,316 |  | 398,316
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (787) |  | (730)
Maximum Exposure to Loss - Off-Balance Sheet |  | 5,658 |  | 5,201
Maximum Exposure to Loss, Total |  | 4,871 |  | 4,471
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-3 Ltd. (Jul-19) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 491,634 |  | 528,084
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (826) |  | (861)
Maximum Exposure to Loss - Off-Balance Sheet |  | 3,971 |  | 5,079
Maximum Exposure to Loss, Total |  | 3,145 |  | 4,218
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-4 Ltd. (Oct-19) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 468,737 |  | 468,737
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (682) |  | (890)
Maximum Exposure to Loss - Off-Balance Sheet |  | 4,761 |  | 6,676
Maximum Exposure to Loss, Total |  | 4,079 |  | 5,786
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-1 Ltd. (Jun-20) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets | [1] | 0 |  | 275,068
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability | [1] | 0 |  | (178)
Maximum Exposure to Loss - Off-Balance Sheet | [1] | 0 |  | 1,012
Maximum Exposure to Loss, Total | [1] | 0 |  | 834
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-1 Ltd. (Jun-20) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 79,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-2 Ltd (Sep-20) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets | [2] | 266,704 |  | 423,420
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability | [2] | (279) |  | (556)
Maximum Exposure to Loss - Off-Balance Sheet | [2] | 2,629 |  | 6,839
Maximum Exposure to Loss, Total | [2] | 2,350 |  | 6,283
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-2 Ltd (Sep-20) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 26,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-3 Ltd. (Nov-20) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets | [3] | 381,410 |  | 418,158
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability | [3] | (395) |  | (631)
Maximum Exposure to Loss - Off-Balance Sheet | [3] | 6,646 |  | 9,605
Maximum Exposure to Loss, Total | [3] | 6,251 |  | 8,974
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-3 Ltd. (Nov-20) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 34,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-4 Ltd. (Dec-20) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets | [4] | 226,916 |  | 321,393
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability | [4] | (100) |  | (156)
Maximum Exposure to Loss - Off-Balance Sheet | [4] | 2,190 |  | 6,816
Maximum Exposure to Loss, Total | [4] | 2,090 |  | 6,660
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-4 Ltd. (Dec-20) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 16,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-1 Ltd. (Mar-21) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 579,717 | [5] | 0
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | 229 | [5] | 0
Maximum Exposure to Loss - Off-Balance Sheet |  | 4,217 | [5] | 0
Maximum Exposure to Loss, Total |  | 4,446 | [5] | 0
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-1 Ltd. (Mar-21) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 64,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-2 Ltd. (Jun-21) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 522,807 | [6] | 0
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | 906 | [6] | 0
Maximum Exposure to Loss - Off-Balance Sheet |  | 5,090 | [6] | 0
Maximum Exposure to Loss, Total |  | 5,996 | [6] | 0
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-2 Ltd. (Jun-21) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | 93,000 |  |
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-3 Ltd. (Sep-21) |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Total VIE Assets |  | 507,873 | [7] | 0
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | 182 | [7] | 0
Maximum Exposure to Loss - Off-Balance Sheet |  | 4,561 | [7] | 0
Maximum Exposure to Loss, Total |  | 4,743 | [7] | $ 0
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-3 Ltd. (Sep-21) | Funded by directly provided capacity |  |  |  |
Variable Interest Entity [Line Items] |  |  |  |
Initial Coverage, Amount |  | $ 131,000 |  |
[1] | An additional $79 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table
[2] | An additional $26 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[3] | An additional $34 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[4] | An additional $16 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[5] | An additional $64 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table
[6] | An additional $93 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[7] | An additional $131 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table

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