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Derivatives (Details) - Not Designated as Hedging Instrument [Member] - USD ($)
$ in Millions
Dec. 31, 2015
Dec. 31, 2014
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value $ 375 $ 499
Derivative liability, at fair value 1,376 1,173
MBS with embedded derivatives [Member] | Fixed maturities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 130 158
Public company warrants [Member] | Equity securities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 4 19
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 1,369 1,160
Equity index call options [Member] | Other investments [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 241 322
Reinsurance contracts (embedded derivative) [Member] | Other liabilities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value $ 7 $ 13