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Allowance for Loan Losses - Summary of Troubled Debt Restructurings (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Loan
Dec. 31, 2013
Loan
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Subsequently defaulted number of loans 3us-gaap_FinancingReceivableModificationsSubsequentDefaultNumberOfContracts1  
Construction, Land and Land Development    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Number of Loans 2us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1] 3us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1]
Pre-Modification Outstanding Recorded Investment $ 282us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1] $ 196us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1]
Post-Modification Outstanding Recorded Investment 277us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1] 196us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConstructionLandAndLandDevelopmentMember
[1]
Residential First Mortgages    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Number of Loans   1us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialFirstMortgageMember
[2]
Pre-Modification Outstanding Recorded Investment   207us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialFirstMortgageMember
[2]
Post-Modification Outstanding Recorded Investment   204us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialFirstMortgageMember
[2]
Subsequently defaulted number of loans   1us-gaap_FinancingReceivableModificationsSubsequentDefaultNumberOfContracts1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialFirstMortgageMember
Subsequently defaulted recorded investment   106us-gaap_FinancingReceivableModificationsSubsequentDefaultRecordedInvestment1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialFirstMortgageMember
Residential Revolving and Junior Mortgages    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Number of Loans 1us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialRevolvingAndJuniorMortgageMember
[1]  
Pre-Modification Outstanding Recorded Investment 50us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialRevolvingAndJuniorMortgageMember
[1]  
Post-Modification Outstanding Recorded Investment 50us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialRevolvingAndJuniorMortgageMember
[1]  
Subsequently defaulted number of loans 1us-gaap_FinancingReceivableModificationsSubsequentDefaultNumberOfContracts1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialRevolvingAndJuniorMortgageMember
 
Subsequently defaulted recorded investment 75us-gaap_FinancingReceivableModificationsSubsequentDefaultRecordedInvestment1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateResidentialRevolvingAndJuniorMortgageMember
 
Commercial Mortgages (Owner Occupied)    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Number of Loans   2us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateCommercialMortgageOwnerOccupiedMember
[1]
Pre-Modification Outstanding Recorded Investment   263us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateCommercialMortgageOwnerOccupiedMember
[1]
Post-Modification Outstanding Recorded Investment   263us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateCommercialMortgageOwnerOccupiedMember
[1]
Subsequently defaulted number of loans 2us-gaap_FinancingReceivableModificationsSubsequentDefaultNumberOfContracts1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateCommercialMortgageOwnerOccupiedMember
 
Subsequently defaulted recorded investment 255us-gaap_FinancingReceivableModificationsSubsequentDefaultRecordedInvestment1
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateCommercialMortgageOwnerOccupiedMember
 
Consumer Loans    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Number of Loans   1us-gaap_FinancingReceivableModificationsNumberOfContracts2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConsumerLoansMember
[2]
Pre-Modification Outstanding Recorded Investment   8us-gaap_FinancingReceivableModificationsPreModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConsumerLoansMember
[2]
Post-Modification Outstanding Recorded Investment   $ 7us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2
/ us-gaap_FinancialInstrumentAxis
= bayk_RealEstateConsumerLoansMember
[2]
[1] Modifications were an extention of the loan terms.
[2] Modifications were capitalization of the interest.