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Stock-Based Compensation Plans - Additional Information (Detail) (USD $)
0 Months Ended 12 Months Ended
Feb. 21, 2013
Dec. 31, 2014
Dec. 31, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for grant   378,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant  
Stock-based compensation expense   $ 20,000us-gaap_ShareBasedCompensation $ 122,000us-gaap_ShareBasedCompensation
Unrecognized compensation expenses related to stock award   0us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized  
Additional options granted under plan   7,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross 89,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
Options vested   7,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares 89,500us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
Fair value of options granted during the period   $ 2.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue  
Stock-based compensation expense $ 36,750us-gaap_AllocatedShareBasedCompensationExpense    
Chief Executive Officer, Executive Vice President And Chief Financial Officer      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Additional options granted under plan 7,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_TitleOfIndividualAxis
= bayk_ChiefExecutiveOfficerExecutiveVicePresidentAndChiefFinancialOfficerMember
   
Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of options granted during the period     $ 1.03us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of options granted during the period     $ 1.08us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_RangeAxis
= us-gaap_MaximumMember