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Stock-Based Compensation
9 Months Ended
Sep. 30, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-Based Compensation
Stock-Based Compensation

The Company recorded stock-based compensation expense of $1 million and $7 million ($1 million and $5 million, net of tax) during the three months ended September 30, 2017 and 2016, respectively, and $6 million and $21 million ($4 million and $14 million, net of tax) during the nine months ended September 30, 2017 and 2016, respectively.

The Company uses a Monte Carlo simulation model to calculate the fair value of stock unit awards containing a market condition. For the nine months ended September 30, 2017, the Company did not issue any stock unit awards containing a market condition. For the nine months ended September 30, 2016, the Company’s weighted average assumptions for expected stock price volatility, risk-free interest rate, valuation period and dividend yield were 46%, 0.98%, 3 years, and 0.0%, respectively.

The activity related to the Company’s restricted stock units (“RSUs”) consisted of (in thousands of shares):
 
 
Time-Based RSUs
 
Performance-Based and Market-Based RSUs
 
 
Number of Shares
 
Weighted
Average Grant Date
Fair Value
 
Number of Shares
 
Weighted
Average Grant Date
Fair Value
Outstanding at January 1, 2017 (a)
878

 
$
34.83

 
923

 
$
34.11

 
Granted
915

 
35.32

 
572

 
35.21

 
Vested (b)
(470
)
 
37.11

 
(146
)
 
36.55

 
Forfeited/expired
(92
)
 
32.53

 
(304
)
 
38.73

Outstanding at September 30, 2017 (c)
1,231

 
$
34.50

 
1,045

 
$
33.03

__________
(a) 
Reflects the maximum number of stock units assuming achievement of all time-, performance- and market-vesting criteria and does not include those for non-employee directors. The weighted-average fair value of time-based RSUs, and performance-based and market-based RSUs granted during the nine months ended September 30, 2016 was $25.92 and $23.33, respectively.
(b) 
The total grant date fair value of RSUs vested during the nine months ended September 30, 2017 and 2016 was $23 million and $27 million, respectively.
(c) 
The Company assumes 0.1 million of performance-based and market-based RSUs outstanding awards will vest over time with weighted average grate date fair value of $36.64. The Company’s outstanding time-based RSUs, and performance-based and market-based RSUs expected to vest had aggregate intrinsic values of $47 million and $4 million, respectively. Aggregate unrecognized compensation expense related to time-based RSUs, and performance-based and market-based RSUs amounted to $40 million and will be recognized over a weighted average vesting period of 1.3 years.

The stock option activity consisted of (in thousands of shares): 
 
 
Number of Options
 
Weighted Average Exercise Price
 
Aggregate Intrinsic Value (in millions)
 
Weighted Average Remaining Contractual Term (years)
Outstanding at January 1, 2017
810

 
$
2.91

 
$
27

 
2.3
 
Granted

 

 

 
 
 
Exercised
(14
)
 
0.79

 

 
 
 
Forfeited/expired

 

 

 
 
Outstanding and exercisable at September 30, 2017
796

 
$
2.95

 
$
28

 
1.5