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Note 2 - Summary of Significant Accounting Policies - Valuation Assumptions (Details)
6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Dividend yield(1) 0.00%  
Expected volatility 28.22% [1] 45.50% [2]
Risk-free interest rate(4) [3]   1.89%
Expected life (in years)(5) (Year) [4] 6 years 91 days 5 years 182 days
Assumed forfeiture rate(6) [5] 4.00%  
Maximum [Member]    
Dividend yield(1) [6] 0.00% 0.00%
Expected volatility [2]   50.09%
Risk-free interest rate(4) [3] 2.91% 2.26%
Expected life (in years)(5) (Year) [4]   7 years
Assumed forfeiture rate(6) [5]   6.00%
Minimum [Member]    
Risk-free interest rate(4) [3] 2.35%  
[1] The expected volatility was based on the historical volatility of the Company’s common stock price as adjusted for certain historical periods of extraordinary volatility in order to provide a basis for a reasonable estimate of fair value.
[2] Expected volatility is based on Bloomberg’s five and one-half to seven year volatility calculation for "FRBK" stock.
[3] The risk-free interest rate is based on the five to seven year Treasury bond.
[4] The expected life reflects a 1 to 4 year vesting period, the maximum ten year term and review of historical behavior.
[5] Forfeiture rate is determined through forfeited and expired options as a percentage of options granted over the current three year period.
[6] A dividend yield of 0.0% is utilized because cash dividends have never been paid.