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Reinsurance (Tables) | 12 Months Ended
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Dec. 31, 2023
Reinsurance Disclosures [Abstract] |
Effects of reinsurance | The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
| Year Ended December 31,
| 2023 |  | 2022 |  | 2021
Premiums Written |  |  |  |  |
Direct | $ | 9,652 |  |  | $ | 8,542 |  |  | $ | 7,707 |
Assumed | 8,751 |  |  | 6,785 |  |  | 5,045 |
Ceded | (4,935) |  |  | (4,249) |  |  | (3,735) |
Net | $ | 13,468 |  |  | $ | 11,078 |  |  | $ | 9,017 |
Premiums Earned |  |  |  |  |
Direct | $ | 9,131 |  |  | $ | 8,058 |  |  | $ | 7,150 |
Assumed | 7,890 |  |  | 5,768 |  |  | 4,334 |
Ceded | (4,581) |  |  | (4,147) |  |  | (3,402) |
Net | $ | 12,440 |  |  | $ | 9,679 |  |  | $ | 8,082 |
Losses and Loss Adjustment Expenses |  |  |  |  |
Direct | $ | 4,739 |  |  | $ | 3,991 |  |  | $ | 4,267 |
Assumed | 3,975 |  |  | 3,558 |  |  | 2,826 |
Ceded | (2,468) |  |  | (2,521) |  |  | (2,508) |
Net | $ | 6,246 |  |  | $ | 5,028 |  |  | $ | 4,585 |
Coverage and retention | The following table summarizes the respective coverages and retentions at December 31, 2023:
Bellemeade Entities (Issue Date) | Initial Coverage at Issuance |  | Current Coverage |  | Remaining Retention, Net
2019-1 Ltd. (1) | 342 |  |  | 71 |  |  | 134 |
2019-3 Ltd. (2) | 701 |  |  | 99 |  |  | 218 |
2021-3 Ltd. (3) | 639 |  |  | 541 |  |  | 134 |
2022-1 Ltd. (4) | 317 |  |  | 282 |  |  | 141 |
2022-2 Ltd. (5) | 327 |  |  | 327 |  |  | 205 |
2023-1 Ltd. (6) | 233 |  |  | 233 |  |  | 185 |
Total | $ | 2,559 |  |  | $ | 1,553 |  |  | $ | 1,017 |
(1) Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company. (2) Issued in July 2019, covering in-force policies issued in 2016. (3) Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers. (4) Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers. (5) Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers. (6) Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $187 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

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- Definition Tabular disclosure of the effects of reinsurance, for example, but not limited to, disclosure of direct, assumed, and ceded insurance. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 1 -SubTopic 605 -Topic 944 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479655/944-605-50-1 + Details
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