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Stock-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2020
Share-based Payment Arrangement [Abstract] |
Information on stock options issued | The following table contains information about our stock options:
| 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, 2020 | 7,817,436 |  |  | $ | 16.30 |  |  |  |  |
Granted | 652,733 |  |  | $ | 26.79 |  |  |  |  |
Exercised | (4,362,654) |  |  | $ | 14.37 |  |  |  |  |
Forfeited | (508,326) |  |  | $ | 21.69 |  |  |  |  |
Outstanding as of December 31, 2020 | 3,599,189 |  |  | $ | 19.79 |  |  | 6.46 |  | $ | 242.2 |
Exercisable as of December 31, 2020 | 1,343,421 |  |  | $ | 16.71 |  |  | 3.94 |  | $ | 94.6 |
Information about stock options by exercise price range | The following table summarizes information about our outstanding stock options as of December 31, 2020:
| Exercise Price Range |  | Total
| $12.65 to $18.63 |  | $18.81 to $26.14 |  | $30.74 to $36.31 |  | $55.74 to $55.74 |  | $12.65 to $55.74
Outstanding options |  |  |  |  |  |  |  |  |
Number outstanding | 1,045,257 |  |  | 2,245,484 |  |  | 303,974 |  |  | 4,474 |  |  | 3,599,189 |
Weighted-average remaining contractual term (in years) | 2.77 |  | 8.44 |  | 4.46 |  | 9.84 |  | 6.46
Weighted-average exercise price | $ | 13.86 |  |  | $ | 20.88 |  |  | $ | 31.57 |  |  | $ | 55.74 |  |  | $ | 19.79 |
Exercisable options |  |  |  |  |  |  |  |  |
Number outstanding | 830,121 |  |  | 389,945 |  |  | 123,355 |  |  | — |  |  | 1,343,421 |
Weighted-average exercise price | $ | 13.48 |  |  | $ | 19.14 |  |  | $ | 30.74 |  |  | $ | — |  |  | $ | 16.71 |
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, 2020, 2019 and 2018:
| For the year ended December 31,
| 2020 |  | 2019 |  | 2018
Risk-free interest rate | 1.55 | % |  | 2.00 | % |  | 2.26 | %
Expected volatility | 33.78 | % |  | 32.90 | % |  | 30.80 | %
Dividend yield | — |  |  | — |  |  | — |
Weighted-average expected life (in years) | 5.00 |  | 5.30 |  | 5.30
Information on restricted stock awards | The following table contains information on our RSAs:
| 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, 2020 | 395,362 |  |  | $ | 24.35 |  |  | 298,479 |  |  | $ | 23.15 |
Granted | 179,045 |  |  | $ | 28.68 |  |  | 131,313 |  |  | $ | 26.18 |
Vested | (352,371) |  |  | $ | 23.63 |  |  | (106,666) |  |  | $ | 22.53 |
Forfeited | — |  |  | $ | — |  |  | (39,180) |  |  | $ | 25.18 |
Nonvested as of December 31, 2020 | 222,036 |  |  | $ | 28.73 |  |  | 283,946 |  |  | $ | 24.50 |

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