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Expected Loss to be Paid (Recovered) - Additional Information (Details)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Jun. 30, 2022
USD ($)
Sep. 30, 2022
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2022
USD ($)
Payment
Curve
scenario
Sep. 30, 2021
USD ($)
Dec. 31, 2021
USD ($)
scenario
Jun. 30, 2021
USD ($)
Dec. 31, 2020
USD ($)
Schedule of Expected Losses to be Paid [Line Items]                
Period of insured credit performance of guaranteed obligations (in some cases over)       30 years        
Discount factor (as a percent)       3.97%   1.02%    
Net Expected Loss to be Paid (Recovered) $ 442 $ 727 $ 199 $ 727 $ 199 $ 411 $ 466 $ 529
Loss and LAE Reserve paid   5 5 25 15      
Expected LAE to be paid   11   11   26    
Ceded expected loss to be recovered (paid)   (2)   (2)   10    
Net par outstanding   227,071   227,071   236,392    
Net economic loss development (benefit)   $ (72) (94) $ (148) (101)      
Additional loss recovery assumption, recovery period       5 years        
Loss recovery assumption, additional increase in recovery projection, percent   40.00%   40.00%        
Loss recovery assumption, additional increase in recovery projection, economic benefit   $ 39   $ 39        
Loss recovery assumption, additional decrease in recovery projection, percent   20.00%   20.00%        
Loss recovery assumption, additional decrease in recovery projection, economic loss   $ 39   $ 39        
Public Finance Stockton Pension Obligation Bonds                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   96   96        
Public finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered) 217 632 10 632 10 209 243 341
Net par outstanding   218,905   218,905   227,164    
Net economic loss development (benefit)   22 (31) (22) (28)      
Other structured finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered) 46 43 47 43 47 52 45 40
Net par outstanding   6,160   6,160   6,837    
Net economic loss development (benefit)   1 2 1 9      
Healthcare System                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   820   820        
BIG                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   5,785   5,785   7,356    
BIG | Public finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   4,649   4,649   5,972    
BIG | Other structured finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   107   107   $ 119    
BIG | Student Loan                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   49   49        
BIG | Life insurance transactions                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   40   $ 40        
United States                
Schedule of Expected Losses to be Paid [Line Items]                
Net expected loss to be paid after recoveries for representations and warranties, percent       99.30%   97.20%    
United States | Public finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered) 210 626 (9) $ 626 (9) $ 197 221 305
Net par outstanding   177,842   177,842   177,219    
Net economic loss development (benefit)   24 (29) (16) (13)      
United States | RMBS                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered) $ 179 52 142 52 142 150 $ 178 $ 148
Net par outstanding   2,006   2,006   2,391    
Net economic loss development (benefit)   (95) (65) $ (127) (82)      
United States | RMBS | Second Lien                
Schedule of Expected Losses to be Paid [Line Items]                
Period from plateau to intermediate conditional default rate (in months)       12 months        
United States | RMBS | First Lien                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered)   110   $ 110   $ 167    
Net economic loss development (benefit)   $ (38) (10) $ (34) 1      
Number of delinquent payments | Payment       2        
Projected loss assumptions, CDR, plateau rate, projection period       36 months        
Projected loss assumptions, final CPR, period for voluntary prepayments to continue       12 months        
Percent of deferred loan balances to be recovered       20.00%        
Intermediate conditional default rate (as a percent)   5.00%   5.00%        
Number of scenarios weighted in estimating expected losses | scenario       5   5    
United States | RMBS | First Lien | Base Scenario                
Schedule of Expected Losses to be Paid [Line Items]                
Projected loss assumptions, CDR, plateau rate, projection period       36 months        
Period from plateau to intermediate conditional default rate (in months)       12 months        
Final conditional default rate as a percentage of plateau conditional default rate       5.00%        
Projected loss assumptions, final CPR, period for voluntary prepayments to continue       1 year        
Default from delinquentor rate, term       36 months        
Performing or projected to reperform, projection period       36 months        
Projected loss assumptions, loss severity, subsequent period       18 months        
Estimated loss severity rate, one through six months (as a percent)       18 months        
Loss severity (as a percent)   40.00%   40.00%        
Projected loss assumptions, period to reach final loss severity rate       2 years 6 months        
Final CPR   15.00%   15.00%        
United States | RMBS | First Lien | More Stressful Environment                
Schedule of Expected Losses to be Paid [Line Items]                
Period from plateau to intermediate conditional default rate (in months)       16 months        
Projected loss assumptions, increase (decrease) in expected loss to be paid, net       $ (13)        
United States | RMBS | First Lien | Least Stressful Environment                
Schedule of Expected Losses to be Paid [Line Items]                
Projected loss assumptions, CDR, plateau rate, projection period       30 months        
Period from plateau to intermediate conditional default rate (in months)       8 months        
Projected loss assumptions, increase (decrease) in expected loss to be paid, net       $ 8        
Decrease in the plateau period used to calculate potential change in loss estimate (in months)       6 months        
United States | RMBS | First Lien | Most Stressful                
Schedule of Expected Losses to be Paid [Line Items]                
Projected loss assumptions, period to reach final loss severity rate       9 years        
United States | RMBS | Second Lien                
Schedule of Expected Losses to be Paid [Line Items]                
Net Expected Loss to be Paid (Recovered)   $ (58)   $ (58)   $ (17)    
Net economic loss development (benefit)   $ (57) $ (55) $ (93) $ (83)      
Period from plateau to intermediate conditional default rate (in months) 28 months         28 months    
Projected loss assumptions, period of consistent conditional default rate 6 months 36 months            
Stress period (in months) 34 months 48 months            
Period of delinquency (in days)       180 days        
Percentage of consistent conditional default rate   5.00%            
Loss recovery assumption (as a percent)   2.00%   2.00%   2.00%    
Number of conditional default rate curves modeled in estimating losses | Curve       5        
Liquidation rate   30.00%   30.00%        
United States | RMBS | Second Lien | Home Equity Line of Credit and Closed-end Mortgage                
Schedule of Expected Losses to be Paid [Line Items]                
Final CPR   15.00%   15.00%        
United States | RMBS | Second Lien | Base Scenario                
Schedule of Expected Losses to be Paid [Line Items]                
Stress period (in months)       48 months   34 months    
United States | RMBS | Second Lien | Most Stressful                
Schedule of Expected Losses to be Paid [Line Items]                
Projected loss assumptions, CDR, plateau rate, projection period   36 months   42 months   6 months    
Period from plateau to intermediate conditional default rate (in months)       16 months        
Stress period (in months)       58 months        
Increase in conditional default rate ramp down period       4 months        
United States | RMBS | Second Lien | Most Stressful | Home Equity Line of Credit                
Schedule of Expected Losses to be Paid [Line Items]                
Change in estimate for increased conditional default rate plateau period       $ 1        
United States | RMBS | Second Lien | Least Stressful                
Schedule of Expected Losses to be Paid [Line Items]                
Stress period (in months)       38 months        
Period of constant conditional default rate (in months)       30 months        
Decreased conditional default rate ramp down period       8 months        
Change in estimate for decreased prepayment rate, Percent       10.00%        
United States | RMBS | Second Lien | Least Stressful | Home Equity Line of Credit                
Schedule of Expected Losses to be Paid [Line Items]                
Change in estimate for decreased conditional default rate ramp down period       $ 2        
United States | Home Equity Line of Credit                
Schedule of Expected Losses to be Paid [Line Items]                
Initial period for which borrower can pay only interest payments       10 years        
United States | Home Equity Line of Credit Insured                
Schedule of Expected Losses to be Paid [Line Items]                
Initial period for which borrower can pay only interest payments       15 years        
United States | BIG | Public finance                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   $ 4,187   $ 4,187   $ 5,372    
United States | BIG | RMBS                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   1,029   1,029   1,265    
Puerto Rico                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   2,071   2,071   3,572    
Puerto Rico | BIG                
Schedule of Expected Losses to be Paid [Line Items]                
Net par outstanding   $ 2,100   $ 2,100   $ 3,600    
Minimum                
Schedule of Expected Losses to be Paid [Line Items]                
Risk free discount rate       2.98%   0.00%    
Maximum                
Schedule of Expected Losses to be Paid [Line Items]                
Risk free discount rate       4.18%   1.98%