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Derivatives (Details Textual) (USD $)
3 Months Ended
Mar. 31, 2015
Sep. 30, 2014
Dec. 31, 2014
Derivative Instruments, Gain (Loss) [Line Items]      
Indexed annuities as a percentage of annuity benefits 50.00%afg_IndexedAnnuitiesAsPercentageOfAnnuityBenefits    
Carrying value of collateral received to support purchased call options $ 262,000,000us-gaap_DerivativeCollateralRightToReclaimCash    
Not Designated as Hedging Instrument [Member] | Interest rate swaptions [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Notional amount of derivative asset instrument outstanding 200,000,000us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
   
Payments to purchase swaptions 4,000,000afg_CumulativePaymentstoPurchaseDerivatives
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
   
Cash Flow Hedges [Member] | Designated as Hedging Instrument [Member] | Interest rate swaptions [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Contract term of derivative instrument 5 years 5 years  
Notional amount of derivative instrument outstanding 374,000,000invest_DerivativeNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
431,000,000invest_DerivativeNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
401,000,000invest_DerivativeNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
Net derivatives, at fair value (are less than in 2014) (2,000,000)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
   
Gain (loss) reclassified from AOCI into net investment income 1,000,000us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
   
Gain (loss) on cash flow hedge ineffectiveness recorded in Net Earnings 0us-gaap_GainLossOnCashFlowHedgeIneffectivenessNet
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
   
Maximum [Member] | Cash Flow Hedges [Member] | Designated as Hedging Instrument [Member] | Interest rate swaptions [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Net derivatives, at fair value (are less than in 2014)     $ (1,000,000)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember