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Stock Award Plans and Stock Based Compensation (Tables)
9 Months Ended
Sep. 30, 2021
Share-based Payment Arrangement [Abstract]  
Stock Option Activity
See below for a summary of the stock options granted under the 2011 and 2018 plans:
2011 Plan2018 PlanNon PlanTotal
Beginning balance as of January 1, 202189 5,449,967 5,450,057 
Granted7,185,000 1,605,000 
Exercised(20,694)(14,583)
Expired(8)(80,254)(43,075)
Forfeited(459,771)(149,522)
Ending balance as of September 30, 202181 12,074,248 6,847,877 
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions Key weighted-average assumptions used to apply this pricing model during nine months ended September 30, 2021 were as follows:
For the Nine Months Ended September 30, 2021
Risk-free interest rate
0.59% - 0.75%
Expected life of option grants5 years
Expected volatility of underlying stock
37.67% - 38.15%
Dividends assumption--