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Derivatives (Details) - Not Designated as Hedging Instrument [Member] - USD ($)
$ in Millions
Jun. 30, 2016
Dec. 31, 2015
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value $ 497 $ 375
Derivative liability, at fair value 1,570 1,376
MBS with embedded derivatives [Member] | Fixed maturities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 127 130
Public company warrants [Member] | Equity securities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 2 4
Fixed-indexed annuities (embedded derivative) [Member] | Annuity benefits accumulated [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value 1,557 1,369
Equity index call options [Member] | Other investments [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 368 241
Reinsurance contracts (embedded derivative) [Member] | Other liabilities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value $ 13 $ 7