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Invested Assets - Amortized Cost and Fair Value of Fixed Maturities and Equity Securities (Detail) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost $ 36,483us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis $ 36,958us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Fixed maturities, Gross Unrealized Appreciation 2,022us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax 1,884us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Fixed maturities, Gross Unrealized Depreciation 48us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax 62us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Fixed maturities, Fair Value 38,457us-gaap_AvailableForSaleSecuritiesDebtSecurities 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities
Equity securities, Amortized Cost 1,074us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis 1,089us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis
Equity securities, Gross Unrealized Appreciation 900us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax 894us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Equity securities, Gross Unrealized Depreciation 10us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax 19us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Equity securities, Fair Value 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities
Tax Exempt [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 19,260us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
18,614us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Gross Unrealized Appreciation 1,179us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
1,174us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Gross Unrealized Depreciation 24us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
16us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Fair Value 20,415us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Taxable [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 17,223us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,344us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Gross Unrealized Appreciation 843us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
710us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Gross Unrealized Depreciation 24us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
46us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Fair Value 18,042us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 175us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
192us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 20us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
20us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Fair Value 194us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
211us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 988us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
1,069us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 27us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
22us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Fair Value 1,014us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 1,460us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
1,962us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Gross Unrealized Appreciation 59us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
46us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Fair Value 1,518us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Corporate Bonds [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 8,756us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
8,741us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 402us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
327us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 19us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
40us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Fair Value 9,139us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 5,844us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,380us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Gross Unrealized Appreciation 335us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
295us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Gross Unrealized Depreciation 2us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
3us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Fair Value $ 6,177us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
$ 6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember