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Share-Based Compensation
6 Months Ended
Jun. 30, 2020
Share-based Payment Arrangement [Abstract]  
Share-Based Compensation
Share-Based Compensation
The following table presents share-based compensation expense:
 
For the Three Months Ended June 30,
 
For the Six Months Ended June 30,
 
2019
 
2020
 
2019
 
2020
Share-based compensation
$
10.2

 
$
22.5

 
$
19.0

 
$
30.7

Tax benefit
2.5

 
4.1

 
4.7

 
5.6



As of December 31, 2019, the Company had unrecognized share-based compensation expense of $106.6 million. As of June 30, 2020, the Company had unrecognized share-based compensation expense of $101.7 million, 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

 
73.89

Units vested
(0.3
)
 
143.45

Units forfeited
(0.0
)
 
140.33

Performance condition changes
(0.1
)
 
114.65

Unvested units - June 30, 2020
1.1

 
98.78


For the six months ended June 30, 2019 and 2020, the Company granted restricted stock units with fair values of $36.0 million and $30.5 million, 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 awards with performance conditions, the number of restricted stock units expected to vest may change over time depending upon the performance level achieved.
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

 
74.69

 
 
Options exercised

 

 
 
Options forfeited
(0.0
)
 
117.13

 
 
Performance condition changes

 

 
 
Unexercised options outstanding - June 30, 2020
2.5

 
84.35

 
5.5
Exercisable at June 30, 2020
0.4

 
131.70

 
2.2

For the six months ended June 30, 2019 and 2020, the Company granted stock options with fair values of $0.5 million and $3.9 million, respectively, all of which were granted in the first quarter of each period. 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 weighted average fair value of options granted was $33.58 and $17.49, per option, for the six months ended June 30, 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 Six Months Ended June 30,
 
 
2019
 
2020
Dividend yield
 
1.2
%
 
1.7
%
Expected volatility
 
31.9
%
 
29.4
%
Risk-free interest rate
 
2.6
%
 
0.9
%
Expected life of options (in years)
 
5.7

 
5.7

Forfeiture rate
 
%
 
%