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Share-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Summary of Restricted Stock Unit and Stock Option Activity
The following table summarizes restricted stock unit and stock option activity:
Restricted Stock UnitsStock Options
NumberWeighted-
Average
Grant Date
Fair Value
Per Share
NumberWeighted-
Average
Exercise/
(Strike) Price
Per Share
Outstanding as of December 31, 20171,397,984 $30.11 2,554,034 $20.45 
Granted699,000 24.21 664,000 23.20 
Expired or cancelled(240,289)32.76 (274,990)22.82 
Vested/exercised(387,695)28.67 — — 
Outstanding as of December 31, 20181,469,000 $27.27 2,943,044 $20.89 
Granted530,000 20.23 220,000 19.66 
Expired or cancelled(104,029)28.98 (884,029)21.03 
Vested/exercised(179,971)25.39 — — 
Outstanding as of December 31, 20191,715,000 $25.19 2,279,015 $20.62 
Granted245,000 20.67 165,000 19.24 
Expired or cancelled(403,750)25.52 (168,750)25.87 
Vested/exercised(521,250)29.44 — — 
Outstanding as of December 31, 20201,035,000 $21.85 2,275,265 $20.13 
Summary Of Unrestricted Stock Units Issuance
The following table summarizes unrestricted stock units, which are generally issued to the non-employee members of the Company’s Board of Directors as part of their annual retainer fees:
Unrestricted Stock Units
YearNumberWeighted-Average
Grant Date
Fair Value Per Share
2018115,420 $21.26 
201998,591 15.72 
2020194,177 8.60 
Weighted-Average Assumptions Used in Estimating Grant Date Fair Values of Stock Option Awards
The fair value on the grant date and the significant assumptions used in the Black-Scholes option-pricing model are as follows:
Year Ended December 31,
202020192018
Total stock options granted165,000 220,000 664,000 
Weighted-average grant date fair value$7.67 $7.59 $11.09 
Weighted-average assumptions:
Risk-free rate1.2 %2.1 %2.6 %
Expected life of options(a)
6.3 years6.1 years5.8 years
Expected volatility(b)
60.7 %39.4 %42.2 %
Expected quarterly dividends$— $— $— 
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(a)Calculated using the simplified method due to the terms of the stock options and the limited pool of grantees.
(b)Calculated using historical volatility of the Company’s common stock over periods commensurate with the expected life of the option.