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Stockholders' Equity (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Schedule of share-based compensation expense
Share-based compensation expense is as follows (dollars in thousands):
 Years Ended December 31,
 202020192018
Research and development$2,431 $2,599 $1,943 
Selling, general and administrative14,130 12,247 9,348 
Total$16,561 $14,846 $11,291 
Schedule of assumptions used in estimation of fair value of each award option on the date of grant using Black-Scholes option-pricing model
The fair value of each option award is estimated on the date of the grant, using the Black-Scholes option-pricing model and the assumptions in the following table:
 Years Ended December 31,
 202020192018
Fair value of common stock
$21.13 - $23.99
$22.99 - $37.78
$37.20 - $58.15
Expected volatility
61.56% - 62.27%
61.36% - 63.28%
57.95% - 60.56%
Dividend yield0%0%0%
Expected term
5.72 years - 6.54 years
5.53 years - 6.18 years
6.25 years
Risk-free interest rate
0.27% - 1.34%
1.69% - 2.55%
2.69% - 2.85%
Summary of stock option and SAR activity
The following table summarizes stock option and stock appreciation rights (SAR) activities:
 Number of
Options
Weighted-
Average
Exercise Price
Weighted-Average
Remaining
Contractual
Term (in years)
Aggregate
Intrinsic Value
(in thousands)
Outstanding , December 31, 20183,916,963 $19.98 7.10$57,220 
Granted880,235 $36.43 
Exercised(114,753)$12.90 
Forfeited(75,886)$34.80 
Outstanding, December 31, 20194,606,559 $23.06 6.66$27,716 
Granted1,370,225 $23.55 
Exercised(204,373)$11.47 
Forfeited(320,549)$29.09 
Outstanding, December 31, 20205,451,862 $23.26 6.28$29,877 
As of December 31, 2020
Vested and expected to vest5,451,862 $23.26 6.28$29,877 
Exercisable3,218,771 $19.36 4.77$27,832