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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Details of Grants of Stock-based Compensation
The following table presents stock-based compensation and the income tax benefit recognized during the three and nine months ended September 30, 2015 and 2014:
 
Three Months Ended
September 30
 
Nine Months Ended
September 30
($ in millions)
2015
 
2014
 
2015
 
2014
Total stock-based compensation
$
3

 
$
15

 
$
43

 
$
53

Income tax benefit recognized
1

 
5

 
15

 
18

The following are the details of grants of stock-based compensation during the nine months ended September 30, 2015 and 2014:
 
 
Nine Months Ended
September 30
 
 
2015
 
2014
Grant Details
 
Shares
 
Fair Value
 
Shares
 
Fair Value
Stock options
 
589,350

 
$
26.94

 
725,442

 
$
21.55

Restricted stock units
 
201,421

 
$
113.75

 
256,092

 
$
90.20

Contingent shares (a)
 
64,718

 
$
117.91

 
77,518

 
$
93.53

(a) The number of contingent shares represents the target value of the award.
Weighted Average Assumptions Used in Calculating the Fair Value of Stock Option
The fair value of the stock option grants issued in the nine months ended September 30, 2015 was calculated with the following weighted average assumptions:
Weighted average exercise price
$
118.02

Risk-free interest rate
1.9
%
Expected life of option in years
6.5

Expected dividend yield
2.7
%
Expected volatility
29.2
%