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Invested Assets and Related Income - Fair Value and Amortized Cost of Fixed Maturities by Contractual Maturity (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Schedule of Available-For-Sale Securities [Line Items]    
Due in one year or less, Fair Value $ 2,947us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue  
Due after one year through five years, Fair Value 12,906us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveFairValue  
Due after five years through ten years, Fair Value 12,814us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearSixThroughTenFairValue  
Due after ten years, Fair Value 8,812us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearTenFairValue  
Subtotal fixed maturities, Fair Value 37,479cb_AvailableForSaleSecuritiesDebtMaturitiesExcludingMortgageBackedSecuritiesFairValue  
Total fixed maturities, Fair Value 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities 37,091us-gaap_AvailableForSaleSecuritiesDebtSecurities
Due in one year or less, Amortized Cost 2,922us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis  
Due after one year through five years, Amortized Cost 12,406us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveAmortizedCostBasis  
Due after five years through ten years, Amortized Cost 12,041us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearSixThroughTenAmortizedCostBasis  
Due after ten years, Amortized Cost 8,328us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearTenAmortizedCostBasis  
Subtotal fixed maturities, Amortized Cost 35,697cb_AvailableForSaleSecuritiesDebtMaturitiesExcludingMortgageBackedSecuritiesAmortizedCost  
Fixed maturities, Amortized Cost 36,958us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis 35,959us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Residential Mortgage-backed Securities [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Taxable, Fair Value 211us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
 
Taxable, Amortized Cost 192us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
 
Commercial Mortgage-backed Securities [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Taxable, Fair Value 1,090us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
 
Taxable, Amortized Cost $ 1,069us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember