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Equity-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2023
Equity-Based Compensation |
Summary of RSUs | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Weighted Average
​ | ​ | ​ | ​ | Per Share
​ |  | Units |  | Fair Value
Unvested as of January 1, 2023 |  | 365 | ​ | $ | 131.26
Granted |  | 120 | ​ | $ | 151.70
Vested |  | (97) | ​ | $ | 123.85
Forfeited |  | (17) | ​ | $ | 141.17
Unvested as of December 31, 2023 |  | 371 | ​ | $ | 139.37
Summary of PSUs | ​
​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted Average
​ | ​ | ​ | ​ | Per Share
​ |  | Units |  | Fair Value
Unvested as of January 1, 2023 |  | 864 | ​ | $ | 147.00
Granted |  | 316 | ​ | $ | 163.80
Vested |  | (279) | ​ | $ | 153.34
Forfeited |  | (20) | ​ | $ | 157.83
Unvested as of December 31, 2023 |  | 881 | ​ | $ | 150.77
Summary of Stock Options | ​
​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted Average
​ | ​ | ​ | ​ | Per Share
​ |  | Options |  | Exercise Price
Outstanding as of January 1, 2023 |  | 2,923 | ​ | $ | 101.22
Granted |  | 437 | ​ | $ | 150.12
Exercised (a) |  | (597) | ​ | $ | 89.32
Forfeited or expired |  | (34) | ​ | $ | 136.56
Outstanding as of December 31, 2023 (b) |  | 2,729 | ​ | $ | 111.22
Exercisable as of December 31, 2023 (c) |  | 1,819 | ​ | $ | 96.67
(a) | Includes approximately 83,000 stock options exercised pursuant to a written trading plan that provided for net share settlement, resulting in the Company withholding approximately 70,000 shares of our common stock to cover the associated stock option exercise price and taxes.
(b) | Stock options outstanding as of December 31, 2023 have a weighted average remaining contractual term of 6.0 years and an aggregate intrinsic value of $185 million based on the market value of our common stock on December 31, 2023.
(c) | Stock options exercisable as of December 31, 2023 have an aggregate intrinsic value of $150 million based on the market value of our common stock on December 31, 2023.
Summary of Exercisable Stock Options | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted Average |  | ​
​ | ​ | ​ | ​ | Per Share | ​ | Weighted Average
Range of Exercise Prices |  | Options |  | Exercise Price |  | Remaining Years
$41.37-$80.00 |  | 570 | ​ | $ | 61.39 |  | 2.2
$80.01-$120.00 |  | 727 | ​ | $ | 99.55 |  | 5.6
$120.01-$150.12 |  | 522 | ​ | $ | 131.14 |  | 6.7
$41.37-$150.12 |  | 1,819 | ​ | $ | 96.67 |  | 4.8
Weighted Average Assumptions Used to Value Employee Stock Options Granted | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | 2023 |  | 2022 |  | 2021
Expected option life |  | 4.6 | years |  | 4.7 | years |  | 4.7 | years
Expected volatility |  | 22.3 | % |  | 23.4 | % |  | 23.2 | %
Expected dividend yield |  | 1.9 | % |  | 1.8 | % |  | 2.1 | %
Risk-free interest rate |  | 4.4 | % |  | 1.6 | % |  | 0.6 | %

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