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Schedule of Statutory Accounting Practices (Detail) - Domestic subsidiaries - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Statutory Accounting Practices [Line Items]      
Combined statutory net income (loss) $ 1,276 $ (104) $ 610
Combined statutory capital and surplus 7,769 7,384  
Life insurance subsidiaries, excluding captive life reinsurance subsidiaries      
Statutory Accounting Practices [Line Items]      
Combined statutory net income (loss) 276 654 197
Combined statutory capital and surplus 3,082 2,945  
Mortgage insurance subsidiaries      
Statutory Accounting Practices [Line Items]      
Combined statutory net income (loss) 747 593 404
Combined statutory capital and surplus 4,687 4,439  
Combined statutory net income, excluding captive reinsurance subsidiaries      
Statutory Accounting Practices [Line Items]      
Combined statutory net income (loss) 1,023 1,247 601
Captive life reinsurance subsidiaries      
Statutory Accounting Practices [Line Items]      
Combined statutory net income (loss) 253 (1,351) $ 9
Combined statutory capital and surplus $ 96 $ 98