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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2019
Share-based Payment Arrangement [Abstract]  
Information on stock options issued
The following table contains information about our stock options:
 
Number of Option
Shares
 
Weighted-Average
Exercise Price
 
Weighted-Average Remaining Contractual
Term (in years)
 
Aggregate
Intrinsic Value
(in millions)
Outstanding as of January 1, 2019
5,869,211

 
$
15.14

 
 
 
 

Granted
2,436,811

 
$
19.24

 
 
 
 

Exercised
(230,644
)
 
$
14.32

 
 
 
 

Forfeited
(257,942
)
 
$
19.44

 
 
 
 

Outstanding as of December 31, 2019
7,817,436

 
$
16.30

 
4.84
 
$
75.1

Exercisable as of December 31, 2019
4,071,052

 
$
13.62

 
2.49
 
$
49.2
Information about stock options by exercise price range
The following table summarizes information about our outstanding stock options as of December 31, 2019:
 
Exercise Price Range
 
Total
 
$11.61 to
$16.93
 
$17.77 to
$25.05
 
$30.74 to
$32.90
 
$11.61 to
$32.90
Outstanding options
 
 
 
 
 
 
 
Number outstanding
4,842,725

 
2,368,886

 
605,825

 
7,817,436

Weighted-average remaining contractual term (in years)
2.66

 
9.27

 
4.95

 
4.84

Weighted-average exercise price
$
13.06

 
$
19.23

 
$
30.75

 
$
16.30

Exercisable options
 
 
 
 
 
 
 
Number outstanding
3,901,333

 
10,584

 
159,135

 
4,071,052

Weighted-average exercise price
$
12.91

 
$
18.62

 
$
30.75

 
$
13.62
Weighted-average assumptions used in Black-Scholes option pricing model
The following are the weighted-average assumptions used in the Black-Scholes option-pricing model for the years ended December 31, 2019, 2018 and 2017:
 
For the year ended December 31,
 
2019
 
2018
 
2017
Risk-free interest rate
2.00
%
 
2.26
%
 
1.97
%
Expected volatility
32.90
%
 
30.80
%
 
30.66
%
Dividend yield
—

 
—

 
—

Weighted-average expected life (in years)
5.30

 
5.30

 
5.30
Information on restricted stock awards
The following table contains information on our RSAs:
 
With Performance Conditions
 
Without Performance Conditions
 
Number of 
Shares
 
Weighted- Average Grant Date Fair Value
 
Number of 
Shares
 
Weighted- Average Grant Date Fair Value
Nonvested as of January 1, 2019
351,472

 
$
22.10

 
207,349

 
$
25.55

Granted
253,609

 
$
23.55

 
175,795

 
$
19.44

Vested
(193,799
)
 
$
19.36

 
(35,758
)
 
$
18.05

Forfeited
(15,920
)
 
$
22.60

 
(48,907
)
 
$
23.71

Nonvested as of December 31, 2019
395,362

 
$
24.35

 
298,479

 
$
23.15