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Fair Values of Financial Instruments - Fair Value of Financial Instruments Categorized Based Upon Lowest Level of Input (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Short Term Investments $ 1,318us-gaap_OtherShortTermInvestments $ 2,114us-gaap_OtherShortTermInvestments
Fixed maturities, Fair Value 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities 37,091us-gaap_AvailableForSaleSecuritiesDebtSecurities
Equity securities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities 1,810us-gaap_AvailableForSaleSecuritiesEquitySecurities
Long Term Debt 3,300us-gaap_LongTermDebt 3,300us-gaap_LongTermDebt
Fair Value [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Short Term Investments 1,318us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
2,114us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Fixed maturities, Fair Value 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
37,091us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Equity securities 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
1,810us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Total fixed maturities, equity securities and other invested assets, Fair Value 42,062us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
41,015us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Long Term Debt 4,013us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
3,806us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
Tax Exempt [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
18,421us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Tax Exempt [Member] | Fair Value [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
18,421us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Taxable [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,670us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
802us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Corporate Bonds [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,314us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,890us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Taxable [Member] | Fair Value [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,670us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Fair Value [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
802us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Fair Value [Member] | Corporate Bonds [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,314us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Fair Value [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,890us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Taxable [Member] | Fair Value [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 211us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
299us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Fair Value [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
1,365us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_PortionAtFairValueFairValueDisclosureMember
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 1 [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Short Term Investments 206us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
399us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Fixed maturities, Fair Value      
Equity securities 1,958us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
1,803us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Total fixed maturities, equity securities and other invested assets, Fair Value 2,164us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
2,202us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Long Term Debt      
Level 1 [Member] | Tax Exempt [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member] | Corporate Bonds [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 1 [Member] | Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 2 [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Short Term Investments 1,112us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
1,715us-gaap_OtherShortTermInvestments
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Fixed maturities, Fair Value 38,651us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
36,916us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Equity securities      
Total fixed maturities, equity securities and other invested assets, Fair Value 39,763us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
38,631us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Long Term Debt 4,013us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
3,806us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Level 2 [Member] | Tax Exempt [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 19,769us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
18,416us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Level 2 [Member] | Taxable [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 18,882us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,500us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 2 [Member] | Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
802us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Level 2 [Member] | Taxable [Member] | Corporate Bonds [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 8,912us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,179us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Level 2 [Member] | Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 6,663us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,881us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Level 2 [Member] | Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 210us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
293us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 2 [Member] | Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
1,345us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 3 [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Short Term Investments      
Fixed maturities, Fair Value 129us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
175us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Equity securities 6us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
7us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Total fixed maturities, equity securities and other invested assets, Fair Value 135us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
182us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Long Term Debt      
Level 3 [Member] | Tax Exempt [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 3us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
5us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Level 3 [Member] | Taxable [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 126us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
170us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 3 [Member] | Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value      
Level 3 [Member] | Taxable [Member] | Corporate Bonds [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 116us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
135us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Level 3 [Member] | Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 9us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
9us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Level 3 [Member] | Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value 1us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
6us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Level 3 [Member] | Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]    
Fixed maturities, Fair Value    $ 20us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember