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Stock-Based Compensation (Tables) | 12 Months Ended
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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 |  |  |  |
Granted | 398,945 |  |  | $50.43 |  |  |  |
Exercised | (440,170) |  |  | $15.64 |  |  |  |
Forfeited | (45,386) |  |  | $34.09 |  |  |  |
Outstanding as of December 31, 2022 | 3,270,763 |  |  | $27.89 |  | 6.2 |  | $ | 26.6 |
Exercisable as of December 31, 2022 | 1,971,559 |  |  | $21.37 |  | 5.3 |  | $ | 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) | 2022 |  | 2021 |  | 2020
Weighted-average grant-date fair value of options (1) | $30.09 |  | $57.70 |  | $8.62
Aggregate intrinsic value of stock options exercised | 8.6 |  |  | 53.1 |  |  | 128.9 |
Fair value of stock options vested | 21.3 |  |  | 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,
| 2022 |  | 2021 |  | 2020
Risk-free interest rate | 1.40 | % |  | 0.46 | % |  | 1.55 | %
Expected volatility | 71.00 | % |  | 75.33 | % |  | 33.78 | %
Dividend yield (1) | — |  |  | — |  |  | — |
Weighted-average expected life (in years) | 5.2 |  | 5.2 |  | 5.0
(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 Conditions |  | Without Performance Conditions
| Number of Shares |  | Weighted- Average Grant Date Fair Value |  | Number of Shares |  | Weighted- Average Grant Date Fair Value
Nonvested as of January 1, 2022 | 1,168,364 |  |  | $58.89 |  | 1,103,013 |  |  | $66.90
Granted | 428,551 |  |  | $43.23 |  | 704,317 |  |  | $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 |  |  | $54.68 |  | 1,342,400 |  |  | $53.00

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