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Stockholder's Equity and Stock-Based Compensation Expense (Tables)
9 Months Ended
Sep. 30, 2020
Share-based Payment Arrangement [Abstract]  
Schedule of stock options activity The following table presents a summary of the activity related to stock options, restricted stock, restricted stock unit awards and SARs awards for the nine months ended September 30, 2020:
Stock OptionsRestricted Stock and Unit AwardsStock Appreciation Rights
Number of Shares
Outstanding at December 31, 2019689,209 908,754 954,679 
Granted— 67,500 — 
Stock options and SARs exercised/restricted stock and unit awards vested(5,000)(128,183)— 
Cancelled/forfeited(114,536)(85,794)(143,264)
Outstanding at September 30, 2020569,673 762,277 811,415 
Schedule of restricted stock and units awards activity The following table presents a summary of the activity related to stock options, restricted stock, restricted stock unit awards and SARs awards for the nine months ended September 30, 2020:
Stock OptionsRestricted Stock and Unit AwardsStock Appreciation Rights
Number of Shares
Outstanding at December 31, 2019689,209 908,754 954,679 
Granted— 67,500 — 
Stock options and SARs exercised/restricted stock and unit awards vested(5,000)(128,183)— 
Cancelled/forfeited(114,536)(85,794)(143,264)
Outstanding at September 30, 2020569,673 762,277 811,415 
Schedule of valuation assumptions The following assumptions were used:
Risk-free interest rates1.9 %
Expected lives (in years)5.31
Expected dividend yield— %
Expected volatility79 %