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Invested Assets - Fair Value and Amortized Cost of Fixed Maturities by Contractual Maturity (Detail) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Schedule of Available-For-Sale Securities [Line Items]    
Due in one year or less, Fair Value $ 2,460us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue  
Due after one year through five years, Fair Value 12,329us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveFairValue  
Due after five years through ten years, Fair Value 13,321us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearSixThroughTenFairValue  
Due after ten years, Fair Value 9,139us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearTenFairValue  
Subtotal fixed maturities, Fair Value 37,249cb_AvailableForSaleSecuritiesDebtMaturitiesExcludingMortgageBackedSecuritiesFairValue  
Total fixed maturities, Fair Value 38,457us-gaap_AvailableForSaleSecuritiesDebtSecurities 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities
Due in one year or less, Amortized Cost 2,438us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis  
Due after one year through five years, Amortized Cost 11,794us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughFiveAmortizedCostBasis  
Due after five years through ten years, Amortized Cost 12,449us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingYearSixThroughTenAmortizedCostBasis  
Due after ten years, Amortized Cost 8,639us-gaap_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearTenAmortizedCostBasis  
Subtotal fixed maturities, Amortized Cost 35,320cb_AvailableForSaleSecuritiesDebtMaturitiesExcludingMortgageBackedSecuritiesAmortizedCost  
Fixed maturities, Amortized Cost 36,483us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis 36,958us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Residential Mortgage-backed Securities [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Taxable, Fair Value 194us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
 
Taxable, Amortized Cost 175us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
 
Commercial Mortgage-backed Securities [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Taxable, Fair Value 1,014us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
 
Taxable, Amortized Cost $ 988us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember