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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Information on stock options issued
The following table presents activity related to our stock options for the year ended December 31, 2022:
 Number of Option
Shares
Weighted-Average
Exercise Price
Weighted-Average Remaining Contractual
Term
 (in years)
Aggregate
Intrinsic Value
(in millions)
Outstanding as of January 1, 2022
3,357,374 $23.69  
Granted398,945 $50.43  
Exercised(440,170)$15.64  
Forfeited(45,386)$34.09  
Outstanding as of December 31, 2022
3,270,763 $27.896.2$26.6 
Exercisable as of December 31, 2022
1,971,559 $21.375.3$19.8 
The following table presents information related to the fair value and intrinsic value of our stock options for the years ended December 31, 2022, 2021 and 2020:
For the year ended December 31,
(in millions)202220212020
Weighted-average grant-date fair value of options (1)
$30.09$57.70$8.62
Aggregate intrinsic value of stock options exercised8.6 53.1 128.9 
Fair value of stock options vested21.3 6.2 9.6 
(1)For the year ended December 31, 2021, the combined weighted-average grant-date fair values of options includes those rolled over under theScore Plan.
Weighted-average assumptions used in Black-Scholes option pricing model
The following are the weighted-average assumptions used in the Black-Scholes option-pricing model for the years ended December 31, 2022, 2021 and 2020:
For the year ended December 31,
202220212020
Risk-free interest rate1.40 %0.46 %1.55 %
Expected volatility71.00 %75.33 %33.78 %
Dividend yield (1)
— — — 
Weighted-average expected life (in years)5.25.25.0
(1)The expected dividend yield is zero, as the Company has not historically paid dividends.
Information on restricted stock awards
The following table presents activity related to our restricted stock for the year ended December 31, 2022:
With Performance ConditionsWithout Performance Conditions
 Number of 
Shares
Weighted- Average Grant Date Fair ValueNumber of 
Shares
Weighted- Average Grant Date Fair Value
Nonvested as of January 1, 2022
1,168,364 $58.891,103,013 $66.90
Granted428,551 $43.23704,317 $36.01
Vested(165,101)$56.20(328,703)$59.42
Forfeited(5,606)$67.23(136,227)$61.87
Nonvested as of December 31, 2022
1,426,208 $54.681,342,400 $53.00