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Company-Obligated Mandatorily Redeemable Capital Securities (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Sep. 21, 2006
Floating Rate Junior Subordinated Deferrable Interest Debentures [Member]    
Debt Instrument [Line Items]    
Principal amount of debt $ 4,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
 
Maturity date Dec. 31, 2036  
Floating Rate Capital Securities [Member]    
Class of Stock [Line Items]    
Face amount of capital securities   4,000,000fbss_CapitalSecuritiesFaceAmount
/ us-gaap_StatementClassOfStockAxis
= fbss_FloatingRateCapitalSecuritiesMember
Capital securities, basis spread on variable rate (in hundredths) 1.70%fbss_CapitalSecuritiesBasisSpreadOnVariableRate
/ us-gaap_StatementClassOfStockAxis
= fbss_FloatingRateCapitalSecuritiesMember
 
Capital securities, description of variable rate basis three month LIBOR  
Capital securities $ 4,124,000fbss_CapitalSecurities
/ us-gaap_StatementClassOfStockAxis
= fbss_FloatingRateCapitalSecuritiesMember
 
Callable period of capital securities 5 years