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SHARE-BASED AWARDS AND STOCK OPTIONS | 3 Months Ended
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Mar. 31, 2023
Share-Based Payment Arrangement [Abstract] |
SHARE-BASED AWARDS AND STOCK OPTIONS | SHARE-BASED AWARDS AND STOCK OPTIONS The following table summarizes share-based compensation expense and the related income tax benefit recognized for our share-based awards and stock options:
| Three Months Ended
| March 31, 2023 |  | March 31, 2022
| (in thousands)
Share-based compensation expense | $ | 89,566 |  |  | $ | 38,399 |
Income tax benefit | $ | 9,417 |  |  | $ | 9,679 |
Share-Based Awards The following table summarizes the changes in unvested restricted stock and performance awards for the three months ended March 31, 2023:
| Shares |  | Weighted-Average Grant-Date Fair Value
| (in thousands) |  |
Unvested at December 31, 2022 | 2,145 |  |  | $159.04 |
Replacement awards | 202 |  |  | 98.44 |
Granted | 1,170 |  |  | 113.00 |
Vested | (753) |  |  | 167.81 |
Forfeited | (33) |  |  | 151.02 |
Unvested at March 31, 2023 | 2,731 |  |  | $132.21 |
The total fair value of restricted stock and performance awards vested during the three months ended March 31, 2023 and March 31, 2022 was $126.5 million and $93.3 million, respectively. For restricted stock and performance awards, we recognized compensation expens e of $75.2 million and $35.1 million during the three months ended March 31, 2023 and 2022, respectively. As of March 31, 2023, there was $265.4 million of unrecognized compensation expense related to unvested restricted stock and performance awards that we expect to recognize over a weighted-average period of 2.3 years. Stock Options The following table summarizes stock option activity for the three months ended March 31, 2023:
| Options |  | Weighted-Average Exercise Price |  | Weighted-Average Remaining Contractual Term |  | Aggregate Intrinsic Value
| (in thousands) |  |  |  | (years) |  | (in millions)
Outstanding at December 31, 2022 | 1,139 |  |  | $111.75 |  |  | 5.4 |  | $17.3
Replacement awards | 142 |  |  | 98.44 |  |  |  |  |
Granted | 195 |  |  | 113.12 |  |  |  |  |
Outstanding at March 31, 2023 | 1,476 |  |  | $110.65 |  |  | 5.9 |  | $20.9
Options vested and exercisable at March 31, 2023 | 1,019 |  |  | $107.00 |  |  | 4.7 |  | $20.9
We recognized compensation expense for stock options of $12.7 million and $1.8 million during the three months ended March 31, 2023 and 2022, respectively. As of March 31, 2023, we had $4.4 million of unrecognized compensation expense related to unvested stock options that we expect to recognize over a weighted-average period of 2.3 years. The weighted-average grant-date fair value of stock options granted, including replacement awards granted in connection with the EVO acquisition, during the three months ended March 31, 2023 and 2022 was $47.08 and $48.88, respectively. Fair value was estimated on the date of grant using the Black-Scholes valuation model with the following weighted-average assumptions:
| Three Months Ended
| March 31, 2023 |  | March 31, 2022
Risk-free interest rate | 3.86% |  | 1.87%
Expected volatility | 45% |  | 40%
Dividend yield | 0.81% |  | 0.56%
Expected term (years) | 5 |  | 5
The risk-free interest rate was based on the yield of a zero coupon U.S. Treasury security with a maturity equal to the expected life of the option from the date of the grant. Our assumption on expected volatility was based on our historical volatility. The dividend yield assumption was determined using our average stock price over the preceding year and the annualized amount of our most current quarterly dividend per share. We based our assumptions on the expected term of the options on our analysis of the historical exercise patterns of the options and our assumption on the future exercise pattern of options.

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