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Stock Compensation Plans (Tables)
12 Months Ended
Dec. 31, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of share-based compensation expense recognized in the consolidated statements of operations
Total share-based compensation expense recognized in the “Selling, general, and administrative” and "Cost of services" line items of the consolidated statements of operations resulting from stock options, non-vested restricted stock awards, and non-vested restricted stock units was as follows:
Year ended December 31,
 (in millions) 
 
Cost of services
 
Selling, general, and administrative
 
Total
2015 (a)
 
$
130

 
$
199

 
$
329

2014 (b)
 
2

 
49

 
51

2013 (c)
 
2

 
37

 
39


(a)
Approximately $14 million of share-based compensation expense was recognized as a result of the departure of certain executive officers. $254 million was recognized in conjunction with the IPO.
(b)
Approximately $37 million of share-based compensation expense was recognized as a result of the departure of certain executive officers.
(c)
Approximately $20 million of share-based compensation expense was recognized as a result of granting an executive officer shares of common stock and fully vested restricted stock units.

Schedule of weighted-average assumptions for estimating fair value of stock options granted
The fair value of stock options granted for the years ended December 31, 2015, 2014, and 2013 were estimated at the date of grant using a Black-Scholes option pricing model with the following weighted-average assumptions:

 

Year ended December 31,
 

2015
 
2014
 
2013
Risk-free interest rate

1.87
%

2.24
%

1.40
%
Dividend yield






Expected volatility

55.15
%

50.45
%

56.61
%
Expected term (in years)

7


7


7

Fair value of stock

$
15.53


$
12.64


$
11.06

Fair value of options

$
8.68


$
6.76


$
6.29

Summary of stock option activity
A summary of stock option activity for the year ended December 31, 2015 is as follows:
(options in millions)
 
Options
 
Weighted-Average
 Exercise Price
 
Weighted-Average
Remaining
Contractual
 Term
 
Aggregate Intrinsic Value (in millions)
Outstanding as of January 1, 2015
 
32

 
$
10.75

 
 
 
 
Granted
 
11

 
$
15.53

 
 
 
 
Exercised
 
(1
)
 
$
9.86

 
 
 
 
Cancelled / Forfeited
 
(1
)
 
$
11.25

 
 
 
 
Outstanding as of December 31, 2015 (a)
 
41

 
$
11.94

 
7 years
 
$
166

Options exercisable as of December 31, 2015 (a)
 
19

 
$
10.32

 
5 years
 
$
108


(a)
Includes 2 million of outstanding options subject to the market conditions described above. There are no exercisable options subject to these market conditions.
Summary of restricted stock award and restricted stock unit activity
A summary of restricted stock award and restricted stock unit activity for the year ended December 31, 2015 is as follows:
(awards/units in millions)
 
Awards/Units
 
Weighted-Average
 Grant-Date Fair Value
Non-vested as of January 1, 2015
 
15

 
$
11.98

Granted
 
19

 
$
14.96

Vested
 
(1
)
 
$
15.04

Cancelled / Forfeited
 
(1
)
 
$
14.02

Non-vested as of December 31, 2015 (a)
 
32

 
$
14.30


(a)
Includes 1 million of shares subject to the market conditions described above.