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Income Taxes (Details Textual)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended 3 Months Ended 12 Months Ended 3 Months Ended
Sep. 30, 2014
USD ($)
Sep. 30, 2012
USD ($)
Dec. 31, 2014
USD ($)
Dec. 31, 2013
USD ($)
Dec. 31, 2012
USD ($)
Dec. 31, 2012
Tax litigation settlement [Member]
USD ($)
Sep. 30, 2012
Tax litigation settlement [Member]
USD ($)
Dec. 31, 2014
AFG [Member]
USD ($)
Dec. 31, 2013
AFG [Member]
USD ($)
Dec. 31, 2012
AFG [Member]
USD ($)
Dec. 31, 2014
Charge for valuation allowance [Member]
USD ($)
Dec. 31, 2014
Maximum [Member]
USD ($)
Dec. 31, 2014
United Kingdom [Member]
USD ($)
Dec. 31, 2014
United Kingdom [Member]
GBP (£)
Sep. 30, 2014
Timing of recognition of investment income [Member]
USD ($)
Sep. 30, 2014
Deductibility of certain financing expenses [Member]
USD ($)
Income Tax Reconciliation [Line Items]                                
Statutory rate of income taxes     35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate                      
Tax benefit related to settlement of litigation           $ 39us-gaap_TaxAdjustmentsSettlementsAndUnusualProvisions
/ us-gaap_GainContingenciesByNatureAxis
= us-gaap_SettlementWithTaxingAuthorityMember
$ 28us-gaap_TaxAdjustmentsSettlementsAndUnusualProvisions
/ us-gaap_GainContingenciesByNatureAxis
= us-gaap_SettlementWithTaxingAuthorityMember
                 
Expected refund of tax and interest paid related to tax settlements             17afg_ExpectedRefundOfTaxAndInterestPaidRelatedToTaxSettlements
/ us-gaap_GainContingenciesByNatureAxis
= us-gaap_SettlementWithTaxingAuthorityMember
                 
Income (losses) subject to tax in foreign jurisdictions (are less than in 2014)       12us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign (3)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign             (1)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
       
Operating loss carryforwards                         131us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= country_GB
[1] 85us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= country_GB
[1]    
Percentage ownership of National Interstate     51.00%us-gaap_MinorityInterestOwnershipPercentageByParent                          
Charge for valuation allowance against deferred tax assets                     56us-gaap_DeferredOtherTaxExpenseBenefit
/ dei_LegalEntityAxis
= afg_ChargeForValuationAllowanceMember
         
Operating loss carryforwards, valuation allowance     50us-gaap_OperatingLossCarryforwardsValuationAllowance                          
Decrease in AFG's liability for uncertain tax positions (19)us-gaap_UnrecognizedTaxBenefitsPeriodIncreaseDecrease                           (17)us-gaap_UnrecognizedTaxBenefitsPeriodIncreaseDecrease
/ afg_LiabilityForUncertainTaxPositionsAxis
= afg_TimingOfRecognitionOfInvestmentIncomeMember
(2)us-gaap_UnrecognizedTaxBenefitsPeriodIncreaseDecrease
/ afg_LiabilityForUncertainTaxPositionsAxis
= afg_DeductibilityOfCertainFinancingExpensesMember
Decrease in AFG's liability for uncertain tax positions, settlements (11)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities   (11)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities                      
The portion of the reduction in the liability for uncertain tax positions that favorably impacted the effective tax rate 4us-gaap_IncomeTaxReconciliationTaxContingencies                              
Change in AFG's liability for uncertain tax positions of current year, uncertainty as to timing of tax return inclusion of income related to certain securities       1afg_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositionsUncertaintyAsToTimingOfTaxReturnInclusionOfIncomeRelatedToCertainSecurities 3afg_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositionsUncertaintyAsToTimingOfTaxReturnInclusionOfIncomeRelatedToCertainSecurities                      
Change in AFG's liability for uncertain tax positions of current year related to deductibility of certain expenses         2afg_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositionsRelatedToDeductibilityOfCertainFinancingExpenses                      
Change in AFG's liability for uncertain tax positions of prior year related to resolution of tax case         36afg_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositionsRelatedToResolutionOfTaxCase                      
Change in AFG's related liability for interest for uncertain tax positions         14afg_UnrecognizedTaxBenefitsDecreasesOfInterestOnIncomeTaxesAccrued                      
Change in AFG's liability for uncertain tax positions of prior year   (10)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (8)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (46)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions                      
Interest included in tax provision               (1)us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(14)us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
           
Decrease in related accrued interest       1us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued                        
Income tax penalties accrued       0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAccrued                        
Cash payments for income taxes     $ 347us-gaap_IncomeTaxesPaidNet $ 204us-gaap_IncomeTaxesPaidNet $ 277us-gaap_IncomeTaxesPaidNet                      
[1] £85 million