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Note 4 - Accounting for Stock-based Compensation
6 Months Ended
Jun. 30, 2019
Notes to Financial Statements  
Share-based Payment Arrangement [Text Block]
4.
Accounting for Stock-Based Compensation
 
During the
three
month periods ended
June 30, 2019
and
2018,
the Company granted
24,000
and
24,000,
respectively, of stock options to employees or directors. The Company recognized
$10,000
and
$6,000,
respectively, of stock-based compensation expense for the
three
month periods ended
June 30, 2019
and
2018.
During the
six
month periods ended
June 30, 2019
and
2018,
the Company granted
24,000
and
24,000,
respectively, of stock options to employees and directors. The Company recognized
$14,000
and
$11,000,
respectively, of stock-based compensation expense for the
six
month periods ended
June 30, 2019
and
2018.
 
During the
three
month periods ended
June 30, 2019
and
2018,
14,000
and
5,000
were exercised under the
2005
Plan, respectively. During the
six
month periods ended
June 30, 2019
and
2018,
280,500
and
219,000
were exercised under the
2005
Plan, respectively.
 
Valuation Assumptions
 
The fair values of employee and director option awards were estimated at the date of grant using a Black-Scholes option-pricing model with the following assumptions:
 
 
   
For Three
Months Ended
June 30, 201
9
   
For Three
Months Ended
June 30, 2018
   
For Six
Months Ended
June 30, 201
9
   
For Six
Months Ended

June 30, 201
8
 
                                 
Weighted average grant date fair value
  $
3.61
    $
0.99
    $
3.61
    $
0.99
 
Weighted average assumptions used:
                               
Expected dividend yield
   
0.0
%
   
0.0
%
   
0.0
%
   
0.0
%
Risk-free interest rate
   
2.19
%
   
2.93
%
   
2.19
%
   
2.93
%
Expected volatility
   
127.52
%
   
131.0
%
   
127.52
%
   
131.0
%
Expected life (in years)
   
5.0
     
5.0
     
5.0
     
5.0
 
 
 
 
Expected volatility is based on historical volatility and in part on implied volatility. The expected term considers the contractual term of the option as well as historical exercise and forfeiture behavior. The risk-free interest rate is based on the rates in effect on the grant date for U.S. Treasury instruments with maturities matching the relevant expected term of the award. Options granted to non-employees are valued using the fair market value on each measurement date of the option.