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Other Comprehensive Income (Details 2) (USD $)
In Thousands, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Before-tax amount    
Unrealized holding gains (losses) arising during the period on available-for-sale fixed maturity investments $ 181,375us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax $ 311,298us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax
Unrealized holding gains (losses) arising during the period on cash flow hedges 17,155us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodBeforeTax 884us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodBeforeTax
Reclassification adjustment for (gains) losses realized in net income (30,437)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax (22,218)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax
Net unrealized gains (losses) related to investments 168,093gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsBeforeTax 289,964gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsBeforeTax
Future policy benefits, DAC and VOBA adjustments (35,129)gac_OtherComprehensiveIncomeFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsBeforeTax (57,248)gac_OtherComprehensiveIncomeFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsBeforeTax
Net unrealized gains (losses) 132,964gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeTax 232,716gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeTax
Employee benefit plan adjustment 2,603us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentBeforeTax 0us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentBeforeTax
Other comprehensive income before income taxes 135,567us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent 232,716us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent
Tax (expense) benefit    
Unrealized holding gains (losses) arising during the period on available-for-sale fixed maturity investments (63,481)us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax (108,954)us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax
Unrealized holding gains (losses) arising during the period on cash flow hedges (6,004)us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodTax (309)us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodTax
Reclassification adjustment for (gains) losses realized in net income 10,653us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax 7,776us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax
Net unrealized gains (losses) (58,832)gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsTax (101,487)gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsTax
Future policy benefits, DAC and VOBA adjustments 12,295gac_OtherComprehensiveIncomeLossFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsTax 20,037gac_OtherComprehensiveIncomeLossFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsTax
Net unrealized gains (losses) (46,537)gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossTax (81,450)gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossTax
Employee benefit plan adjustment (911)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax  
Other comprehensive income (loss) (47,448)us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1 (81,450)us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1
Net-of-tax amount    
Unrealized holding gains (losses) arising during the period on available-for-sale fixed maturity investments 117,894us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax 202,344us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax
Unrealized holding gains (losses) arising during the period on cash flow hedges 11,151us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodNetOfTax 575us-gaap_OtherComprehensiveIncomeUnrealizedGainLossOnDerivativesArisingDuringPeriodNetOfTax
Reclassification adjustment for (gains) losses realized in net income (19,784)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax (14,442)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax
Net unrealized gains (losses) 109,261gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsNetOfTax 188,477gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossBeforeFuturePolicyBenefitsDeferredAcquisitionCostsAndVOBAAdjustmentsNetOfTax
Future policy benefits, DAC and VOBA adjustments (22,834)gac_OtherComprehensiveIncomeLossFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsNetOfTax (37,211)gac_OtherComprehensiveIncomeLossFuturePolicyBenefitsDeferredAcquisitionCostsAndValueOfBusinessAcquiredAdjustmentsNetOfTax
Net unrealized gains (losses) 86,427gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossNetOfTax 151,266gac_OtherComprehensiveIncomeLossNetUnrealizedGainLossNetOfTax
Employee benefit plan adjustment 1,692us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax  
Other comprehensive income (loss) $ 88,119us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent [1] $ 151,266us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent [1]
[1] Other comprehensive income includes the non-credit component of impaired gains (losses), net, on fixed maturities available-for-sale in the amounts of $(2,543) and $1,772 for the three months ended March 31, 2015 and 2014, respectively.