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Stock-based compensation (Tables)
12 Months Ended
Dec. 31, 2020
Stock-based compensation [Abstract]  
Stock Option Transactions
A summary of option transactions for all of the Company’s stock options during the years ended December 31, 2020, and 2019 follows: 
 
 
Number of
Stock Options
  
Weighted Average
Exercise Price
 
Outstanding at January 1, 2019
  
4,342,765
  
$
2.02
 
Granted
  
875,000
   
2.46
 
Exercised
  
(86,250
)
  
1.74
 
Expired/forfeited
  
(223,477
)
  
6.43
 
Outstanding at December 31, 2019
  
4,908,038
   
1.90
 
Granted
  
400,000
   
1.46
 
Exercised
  
(15,000
)
  
1.29
 
Expired/forfeited
  
(150
)
  
170.00
 
Outstanding at December 31, 2020
  
5,292,888
  
$
1.87
 
Exercisable at December 31, 2020
  
3,442,501
  
$
1.87
 
Options expected to vest at December 31, 2020
  
1,850,387
  
$
1.86
 
Stock Options Outstanding and Exercisable
The outstanding options at December 31, 2020, have a range of exercise prices and associated weighted remaining contractual life and weighted average exercise price, as follows:

Options Range of Exercise Prices
  
Outstanding Number of Shares
  
Weighted Average Remaining Contractual Life (years)
  
Weighted Average Exercise Price
  
Exercisable Number of Shares
  
Exercisable Weighted Average Exercise Price
 
$
1.11 - $2.00
   
4,185,877
   
7.59
  
$
1.47
   
2,918,323
  
$
1.43
 
$
2.01 - $5.00
   
941,000
   
8.67
   
2.52
   
358,267
   
2.61
 
$
5.01 - $181.00
   
166,011
   
4.54
   
8.07
   
165,911
   
8.03
 
Total
   
5,292,888
   
7.69
  
$
1.87
   
3,442,501
  
$
1.87
 
Fair Value of Each Option Award Granted
The fair value of each option award granted during the period is estimated on the date of grant using the Black-Scholes option valuation model and assumptions as noted in the following table:

 
Years Ended December 31,
 
2020
 
 
2019
Risk-free interest rate
.53%
 
 
1.66%
Volatility
94%
 
 
71%
Expected dividend yield
0%
 
 
0%
Expected life
6.0 years
 
 
6.0 years
Unvested Stock Option Activity
The following table summarizes the Company’s unvested stock option activity:

 
 
Options
  
Weighted
Average Grant
Date Fair Value
 
Unvested balance as of January 1, 2019
  
3,394,468
  
$
0.82
 
Granted
  
875,000
   
1.56
 
Vested
  
(1,265,956
)
  
0.78
 
Forfeited/expired
  
-
   
-
 
Unvested balance as of December 31, 2019
  
3,003,512
  
$
1.05
 
Granted
  
400,000
   
1.11
 
Vested
  
(1,553,125
)
  
0.96
 
Forfeited/expired
  
-
   
-
 
Unvested balance at December 31, 2020
  
1,850,387
  
$
1.15
 
Restricted Stock Unit Award
Restricted stock unit unvested are summarized in the following table:

 
 
Number of
restricted stock units
  
Weighted
Average Grant
Date Fair Value
 
Unvested balance at January 1, 2019
  
70,049
  
$
2.07
 
Granted
  
77,237
   
2.46
 
Vested/settled
  
(60,387
)
  
2.07
 
Forfeited/expired
  
(9,662
)
  
2.07
 
Unvested balance at December 31, 2019
  
77,237
  
$
2.46
 
Granted
  
-
   
-
 
Vested/settled
  
(68,091
)
  
2.46
 
Forfeited/expired
  
(9,146
)
  
2.46
 
Unvested balance at December 31, 2020
  
-
  
$
-