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Federal and Foreign Income Tax - Tax Effects of Temporary Differences that Gave Rise to Deferred Income Tax Assets and Liabilities (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Deferred income tax assets    
Unpaid losses and loss expenses $ 509us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves $ 524us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves
Unearned premiums 364us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve 350us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve
Foreign tax credits 963us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign 867us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign
Employee compensation 144us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeCompensation 142us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeCompensation
Postretirement benefits 272us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits 95us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits
Other-than-temporary impairment losses 298cb_DeferredTaxAssetsImpairmentOfInvestments 291cb_DeferredTaxAssetsImpairmentOfInvestments
Other, net 29us-gaap_DeferredTaxAssetsOther  
Total deferred income tax assets 2,579us-gaap_DeferredTaxAssetsNet 2,269us-gaap_DeferredTaxAssetsNet
Deferred income tax liabilities    
Deferred policy acquisition costs 367us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost 356us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost
Unremitted earnings of foreign subsidiaries 1,075us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings 970us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings
Unrealized appreciation of investments 944cb_DeferredTaxLiabilitiesUnrealizedAppreciationOfInvestments 660cb_DeferredTaxLiabilitiesUnrealizedAppreciationOfInvestments
Other invested assets 208cb_DeferredTaxLiabilitiesOtherInvestedAssets 184cb_DeferredTaxLiabilitiesOtherInvestedAssets
Other, net   52us-gaap_DeferredTaxLiabilitiesOther
Total deferred income tax liabilities 2,594cb_DeferredIncomeTaxLiability 2,222cb_DeferredIncomeTaxLiability
Net deferred income tax asset (liability) $ (15)us-gaap_DeferredTaxAssetsLiabilitiesNet $ 47us-gaap_DeferredTaxAssetsLiabilitiesNet