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FHLB - Advances of FHLB (Detail) (USD $)
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
May 31, 2014
Debt Instrument [Line Items]      
Federal Home Loan Bank advances $ 35,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm $ 15,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm  
Federal Home Loan Bank Advances One      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 10,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesOneMember		    
Federal Home Loan Bank Advances Two      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances     5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesTwoMember
Federal Home Loan Bank Advances Three      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesThreeMember		    
Federal Home Loan Bank Advances Four      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFourMember		    
Federal Home Loan Bank Advances Five      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFiveMember		    
Federal Home Loan Bank Advances Six      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesSixMember		    
Adjustable Rate Hybrid | Federal Home Loan Bank Advances One      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 10,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesOneMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_AdjustableRateHybridMember		    
Originated Apr. 12, 2013    
Current Interest Rate 2.61%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesOneMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_AdjustableRateHybridMember		    
Maturity Date Apr. 13, 2020    
Adjustable Rate Credit | Federal Home Loan Bank Advances Two      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesTwoMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_AdjustableRateCreditMember		    
Originated May 20, 2014    
Current Interest Rate 0.23185%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesTwoMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_AdjustableRateCreditMember		    
Maturity Date May 20, 2015    
Fixed Rate Credit | Federal Home Loan Bank Advances Three      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesThreeMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Originated Jun. 18, 2014    
Current Interest Rate 0.26%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesThreeMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Maturity Date Jun. 18, 2015    
Fixed Rate Credit | Federal Home Loan Bank Advances Four      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFourMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Originated Jun. 26, 2014    
Current Interest Rate 0.26%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFourMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Maturity Date Jun. 26, 2015    
Fixed Rate Credit | Federal Home Loan Bank Advances Five      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFiveMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Originated Oct. 20, 2014    
Current Interest Rate 0.47%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesFiveMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Maturity Date Apr. 20, 2016    
Fixed Rate Credit | Federal Home Loan Bank Advances Six      
Debt Instrument [Line Items]      
Federal Home Loan Bank advances $ 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesSixMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Originated Oct. 20, 2014    
Current Interest Rate 0.30%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bayk_FederalHomeLoanBankAdvancesSixMember
/ us-gaap_LongtermDebtTypeAxis
= bayk_FixedRateCreditMember		    
Maturity Date Oct. 20, 2015