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Income Taxes (Components of Income Tax Expense) (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Consolidated statements of operations:      
Current income taxes $ 116,545us-gaap_CurrentIncomeTaxExpenseBenefit $ 133,036us-gaap_CurrentIncomeTaxExpenseBenefit $ 80,527us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred income taxes (benefits) (46,504)us-gaap_DeferredIncomeTaxExpenseBenefit 3,013us-gaap_DeferredIncomeTaxExpenseBenefit (52,336)us-gaap_DeferredIncomeTaxExpenseBenefit
Total income tax expense included in consolidated statements of operations 70,041us-gaap_IncomeTaxExpenseBenefit 136,049us-gaap_IncomeTaxExpenseBenefit 28,191us-gaap_IncomeTaxExpenseBenefit
Stockholders' equity:      
Expense (benefit) relating to: change in net unrealized investment losses 363,572us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesTaxPortionAttributableToParent (344,944)us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesTaxPortionAttributableToParent 123,620us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesTaxPortionAttributableToParent
Expense (benefit) relating to: share-based compensation (5,716)us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation (4,043)us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation (392)us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
Expense (benefit) relating to: extinguishment of convertible debt (9,284)ael_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromExtinguishmentOfConvertibleDebt (4,546)ael_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromExtinguishmentOfConvertibleDebt 0ael_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromExtinguishmentOfConvertibleDebt
Total income tax expense (benefit) included in consolidated financial statements $ 418,613us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation $ (217,484)us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation $ 151,419us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation