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Variable Interest Entities and Noncontrolling Interests - Other variable interest entity disclosures (Details) - USD ($) $ in Thousands | Sep. 30, 2020 | Dec. 31, 2019
--- | --- | ---
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | $ 42,716,035 | $ 37,885,361
Maximum Exposure to Loss |  | 2,064,111 | 1,848,679
Variable Interest Entity, Not Primary Beneficiary |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 3,329,940 | 3,425,833
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (10,471) | (5,197)
Maximum Exposure to Loss - Off-Balance Sheet |  | 74,743 | 42,084
Maximum Exposure to Loss |  | 64,272 | 36,887
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2017-1 Ltd. (Oct-17) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 145,573 | 216,429
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (432) | (442)
Maximum Exposure to Loss - Off-Balance Sheet |  | 2,104 | 2,794
Maximum Exposure to Loss |  | 1,672 | 2,352
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-1 Ltd. (Apr-18) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 250,095 | 328,482
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (1,592) | (1,574)
Maximum Exposure to Loss - Off-Balance Sheet |  | 4,821 | 5,757
Maximum Exposure to Loss |  | 3,229 | 4,183
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-2 Ltd. (Aug-18) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 187,362 | 437,009
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (641) | (877)
Maximum Exposure to Loss - Off-Balance Sheet |  | 1,695 | 2,524
Maximum Exposure to Loss |  | 1,054 | 1,647
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-3 Ltd. (Oct-18) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 302,563 | 426,806
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (2,477) | (1,113)
Maximum Exposure to Loss - Off-Balance Sheet |  | 7,261 | 3,937
Maximum Exposure to Loss |  | 4,784 | 2,824
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-1 Ltd. (Mar-19) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 219,256 | 257,358
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (1,062) | (226)
Maximum Exposure to Loss - Off-Balance Sheet |  | 8,944 | 3,027
Maximum Exposure to Loss |  | 7,882 | 2,801
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-2 Ltd. (Apr-19) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 398,316 | 525,959
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (1,090) | (78)
Maximum Exposure to Loss - Off-Balance Sheet |  | 11,369 | 2,579
Maximum Exposure to Loss |  | 10,279 | 2,501
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-3 Ltd. (Jul-19) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 528,084 | 656,523
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (975) | (585)
Maximum Exposure to Loss - Off-Balance Sheet |  | 9,156 | 9,273
Maximum Exposure to Loss |  | 8,181 | 8,688
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-4 Ltd. (Oct-19) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets |  | 468,737 | 577,267
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (1,179) | (302)
Maximum Exposure to Loss - Off-Balance Sheet |  | 12,722 | 12,193
Maximum Exposure to Loss |  | 11,543 | $ 11,891
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-1 Ltd. (Jun-20) |  |  |
Variable Interest Entity [Line Items] |  |  |
Total VIE Assets | [1] | 406,534 |
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (701) |
Maximum Exposure to Loss - Off-Balance Sheet |  | 7,590 |
Maximum Exposure to Loss |  | 6,889 |
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] | 423,420 |
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability |  | (322) |
Maximum Exposure to Loss - Off-Balance Sheet |  | 9,081 |
Maximum Exposure to Loss |  | 8,759 |
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 |
[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.

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