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Share-Based Compensation | 12 Months Ended
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Dec. 31, 2020
Share-based Payment Arrangement [Abstract] |
Share-Based Compensation | Share-Based Compensation Share-Based Incentive Plans The Company has established various plans under which it is authorized to grant restricted stock, restricted stock units, stock options, and stock appreciation rights. The Company may also grant cash awards that can be notionally invested in one or more specified measurement funds, including the Company’s common stock. Awards granted under the Company’s share-based incentive plans typically participate in any dividends declared, but such amounts are deferred until delivery of the shares and are forfeitable if the requisite service is not satisfied. Dividends may accrue in cash or may be reinvested in the Company’s common stock. Share-Based Compensation The following table presents share-based compensation expense:
Year |  | Share-Based Compensation Expense |  | Tax Benefit
2018 |  | $ | 44.7 |  |  | $ | 11.2 |
2019 |  | 49.9 |  |  | 8.2 |
2020 |  | 67.4 |  |  | 10.3 |
The excess tax benefit (deficiency) recognized from share-based incentive plans was $0.7 million, $(3.2) million, and $(3.9) million, for the years ended December 31, 2018, 2019, and 2020, respectively. As of December 31, 2019, the Company had unrecognized share-based compensation expense of $106.6 million. As of December 31, 2020, the Company had $86.2 million of unrecognized share-based compensation, which will be recognized over a weighted average period of approximately three years (assuming no forfeitures). Restricted Stock The following table summarizes transactions in the Company’s restricted stock units:
| Restricted Stock Units |  | Weighted Average Grant Date Value
Unvested units—December 31, 2019 | 1.1 |  |  | $ | 123.70 |
Units granted | 0.4 |  |  | 73.75 |
Units vested | (0.4) |  |  | 141.67 |
Units forfeited | (0.0) |  |  | 134.52 |
Performance condition changes | 0.1 |  |  | 105.92 |
Unvested units—December 31, 2020 | 1.2 |  |  | 99.46 |
The Company granted restricted stock unit awards with fair values of $37.7 million, $59.7 million, and $31.8 million for the years ended December 31, 2018, 2019, and 2020, respectively. These restricted stock units were valued based on the closing price of the Company’s common stock on the grant date and the number of shares expected to vest. Restricted stock units containing vesting conditions generally require service over a period of three years to four years and may also require the satisfaction of certain performance conditions. For awards with performance conditions, the number of restricted stock units expected to vest may change over time depending upon the performance level achieved. The total fair value of shares vested was $5.9 million, $18.9 million, and $24.1 million during the years ended December 31, 2018, 2019, and 2020, respectively. As of December 31, 2020, the Company had 3.3 million shares available for grant under its plans. Stock Options The following table summarizes transactions in the Company’s stock options:
| Stock Options |  | Weighted Average Exercise Price |  | Weighted Average Remaining Contractual Life (Years)
Unexercised options outstanding—December 31, 2019 | 2.3 |  |  | $ | 85.58 |  |  |
Options granted | 0.2 |  |  | 74.31 |  |  |
Options exercised | (0.0) |  |  | 86.78 |  |  |
Options forfeited | (0.0) |  |  | 147.77 |  |  |
Performance condition changes | 0.4 |  |  | 74.42 |  |  |
Unexercised options outstanding—December 31, 2020 | 2.9 |  |  | 82.14 |  |  | 5.1
Exercisable at December 31, 2020 | 0.4 |  |  | 126.95 |  |  | 1.7
The Company granted stock options with fair values of $1.0 million, $34.2 million, and $4.4 million for the years ended December 31, 2018, 2019, and 2020, respectively. Stock options generally vest over a period of three years to five years and expire seven years after the grant date. All stock options have been granted with exercise prices equal to the closing price of the Company’s common stock on the grant date. Substantially all of the Company’s outstanding stock options contain both service and performance conditions. For awards with performance conditions, the number of stock options expected to vest may change over time depending upon the performance level achieved. The Company generally uses treasury stock to settle stock option exercises. The total intrinsic value of stock options exercised during the years ended December 31, 2018, 2019, and 2020 was $8.2 million, $0.2 million, and $0.0 million, respectively. The cash received for stock options exercised was $9.7 million, $0.9 million, and zero during the years ended December 31, 2018, 2019, and 2020, respectively. As of December 31, 2020, the intrinsic value of exercisable stock options outstanding was $0.5 million, and 1.2 million options were available for grant under the Company’s option plans. The weighted average fair value of stock options was $48.64, $18.36, and $18.33, per option, for the years ended December 31, 2018, 2019, and 2020, respectively. The Company uses the Black-Scholes option pricing model to determine the fair value of options. The weighted average grant date assumptions used to estimate the fair value of stock options granted were as follows:
| For the Years Ended December 31,
| 2018 |  | 2019 |  | 2020
Dividend yield | 0.8 | % |  | 1.7 | % |  | 1.6 | %
Expected volatility(1) | 25.5 | % |  | 29.4 | % |  | 30.5 | %
Risk-free interest rate(2) | 2.8 | % |  | 1.5 | % |  | 0.9 | %
Expected life of stock options (in years)(3) | 5.7 |  | 5.7 |  | 5.7
Forfeiture rate | 0.0 | % |  | 0.0 | % |  | 0.0 | %
__________________________ (1)Expected volatility is based on historical and implied volatility. (2)Risk-free interest rate is based on the U.S. Treasury yield curve in effect at the date of grant. (3)Expected life of options (in years) is based on the Company’s historical and expected exercise behavior.

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