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SHARE-BASED AWARDS AND STOCK OPTIONS | 9 Months Ended
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Sep. 30, 2019
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 |  | Nine Months Ended
| September 30, 2019 |  | September 30, 2018 |  | September 30, 2019 |  | September 30, 2018
| (in thousands)
Share-based compensation expense | $ | 27,877 |  |  | $ | 14,833 |  |  | $ | 55,791 |  |  | $ | 44,937 |
Income tax benefit | $ | 4,396 |  |  | $ | 3,614 |  |  | $ | 10,633 |  |  | $ | 10,276 |
Share-Based Awards The following table summarizes the changes in unvested restricted stock and performance awards for the nine months ended September 30, 2019:
| Shares |  | Weighted-Average Grant-Date Fair Value
| (in thousands) |  |
Unvested at December 31, 2018 | 1,084 |  |  |  | $108.51 |
Replacement Awards | 894 |  |  | 163.74 |
Granted | 772 |  |  | 141.42 |
Vested | (490 | ) |  | 71.92 |
Forfeited | (88 | ) |  | 112.47 |
Unvested at September 30, 2019 | 2,172 |  |  |  | $151.06 |
The total fair value of restricted stock and performance awards vested during the nine months ended September 30, 2019 and September 30, 2018 was $35.3 million and $45.0 million, respectively. For restricted stock and performance awards, we recognized compensation expense of $20.2 million and $13.8 million during the three months ended September 30, 2019 and September 30, 2018, respectively, and $45.0 million and $41.1 million during the nine months ended September 30, 2019 and September 30, 2018, respectively. As of September 30, 2019, there was $175.1 million of unrecognized compensation expense related to unvested restricted stock and performance awards that we expect to recognize over a weighted-average period of 2.2 years. Our restricted stock and performance award plans provide for accelerated vesting under certain conditions. Stock Options The following table summarizes changes in stock option activity for the nine months ended September 30, 2019:
| Options |  | Weighted-Average Exercise Price |  | Weighted-Average Remaining Contractual Term |  | Aggregate Intrinsic Value
| (in thousands) |  |  |  | (years) |  | (in millions)
Outstanding at December 31, 2018 | 598 |  |  |  | $59.16 |  |  | 6.2 |  | $27.3
Replacement Awards | 1,336 |  |  | 68.96 |  |  |  |  |
Granted | 109 |  |  | 128.22 |  |  |  |  |
Exercised | (221 | ) |  | 32.54 |  |  |  |  |
Outstanding at September 30, 2019 | 1,822 |  |  |  | $73.71 |  |  | 6.8 |  | $155.4
Options vested and exercisable at September 30, 2019 | 1,217 |  |  |  | $57.29 |  |  | 5.9 |  | $123.7
We recognized compensation expense for stock options of $7.0 million and $0.7 million during the three months ended September 30, 2019 and 2018, respectively, and $8.6 million and $2.3 million during the nine months ended September 30, 2019 and 2018, respectively. The aggregate intrinsic value of stock options exercised during the nine months ended September 30, 2019 and 2018 was $22.9 million and $15.9 million, respectively. As of September 30, 2019, we had $15.4 million of unrecognized compensation expense related to unvested stock options that we expect to recognize over a weighted-average period of 1.7 years. The weighted-average grant-date fair value of stock options granted, including Replacement Awards, during the nine months ended September 30, 2019 and 2018 was $99.56 and $35.09, respectively. Fair value was estimated on the date of grant using the Black-Scholes valuation model with the following weighted-average assumptions:
| Nine Months Ended
| September 30, 2019 |  | September 30, 2018
Risk-free interest rate | 1.72% |  | 2.60%
Expected volatility | 31% |  | 29%
Dividend yield | 0.04% |  | 0.04%
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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- Definition The entire disclosure for share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -URI http://asc.fasb.org/topic&trid=2228938 + Details
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