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Derivatives - Derivatives that do not qualify for hedge accounting under GAAP included in the Balance Sheet at fair value (Details) - Not Designated as Hedging Instrument - USD ($)
$ in Millions
Mar. 31, 2020
Dec. 31, 2019
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value $ 312 $ 1,026
Derivative liability, at fair value 3,109 3,735
MBS with embedded derivatives | Fixed maturities    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 103 102
Fixed-indexed and variable-indexed annuities (embedded derivative) | Annuity benefits accumulated    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value 3,099 3,730
Equity index call options | Equity index call options    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 209 924
Equity index put options | Other liabilities    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value 8 1
Reinsurance contracts (embedded derivative) | Other liabilities    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value $ 2 $ 4