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Share-Based Compensation
12 Months Ended
Dec. 31, 2019
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.
The total fair value of share-based compensation awards that vested was $59.4 million, $5.9 million and $18.9 million during the years ended December 31, 2017, 2018 and 2019, respectively.
Share-Based Compensation
The following table presents share-based compensation expense:
Year
 
Share-Based
Compensation
Expense
 
Tax Benefit
2017
 
$
40.4

 
$
13.6

2018
 
44.7

 
11.2

2019
 
49.9

 
8.2


The excess tax benefit (deficiency) recognized from share-based incentive plans was $10.9 million, $0.7 million and ($3.2) million, respectively, for the years ended December 31, 2017, 2018 and 2019.
As of December 31, 2018, the Company had unrecognized share-based compensation expense of $54.1 million. As of December 31, 2019, the Company had $106.6 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, 2018
0.6

 
$
172.74

Units granted
0.7

 
98.48

Units vested
(0.2
)
 
168.95

Units forfeited
(0.0
)
 
145.59

Unvested units—December 31, 2019
1.1

 
123.70


The Company granted restricted stock unit awards with fair values of $36.9 million, $37.7 million and $59.7 million for the years ended December 31, 2017, 2018 and 2019, 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 be delivered. 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 certain of the Company’s awards with performance conditions, the number of restricted stock units expected to vest may change over time depending upon the performance level achieved.  For the year ended December 31, 2019, units granted includes a 0.1 million increase in the Company’s estimate of the number of shares expected to vest.
As of December 31, 2019, the Company had 0.2 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, 2018
0.5

 
$
130.81

 
 
Options granted
1.9

 
74.90

 
 
Options exercised
(0.0
)
 
71.49

 
 
Options forfeited
(0.1
)
 
121.94

 
 
Unexercised options outstanding—December 31, 2019
2.3

 
85.58

 
6.0
Exercisable at December 31, 2019
0.4

 
131.50

 
3.0

The Company granted stock options with fair values of $0.8 million, $1.0 million and $34.2 million for the years ended December 31, 2017, 2018 and 2019, 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 certain of the Company’s awards with performance conditions, the number of stock options expected to vest may change over time depending upon the performance level achieved.  For the year ended December 31, 2019, there were no changes in the Company’s estimate of the number of stock options expected to vest.
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, 2017, 2018 and 2019 was $50.8 million, $8.2 million and $0.2 million, respectively. The cash received for stock options exercised was $41.9 million, $9.7 million and $0.9 million during the years
ended December 31, 2017, 2018 and 2019, respectively. As of December 31, 2019, the exercisable stock options outstanding had no intrinsic value and 0.3 million options were available for grant under the Company’s option plans.
The weighted average fair value of stock options was $48.05, $48.64 and $18.36, per option, for the years ended December 31, 2017, 2018 and 2019, 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,
 
2017
 
2018
 
2019
Dividend yield
0.5
%
 
0.8
%
 
1.7
%
Expected volatility(1)
28.0
%
 
25.5
%
 
29.4
%
Risk-free interest rate(2)
2.1
%
 
2.8
%
 
1.5
%
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.