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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2019
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-based Compensation, Activity [Table Text Block]
Stock-based compensation and the income tax benefit recognized during the three months ended March 31, 2019 and 2018 were as follows:
 
Three Months Ended
March 31
($ in millions)
2019
 
2018
Stock-based compensation

$9

 

$9

Income tax benefit recognized

$2

 

$2

Details of Grants of Stock-based Compensation
Grants of stock-based compensation during the three months ended March 31, 2019 and 2018 were as follows:
 
Three Months Ended
March 31
 
2019
 
2018
Grant Details
Shares
 
Fair Value
 
Shares
 
Fair Value
Stock options
588,870

 

$22.50

 
517,433

 

$25.38

Restricted stock units
179,564

 

$103.35

 
168,432

 

$110.28

Contingent shares (a)
51,850

 

$109.74

 
49,278

 

$116.32

(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 during the three months ended March 31, 2019 was calculated with the following weighted average assumptions:
Weighted average exercise price

$109.74

Risk-free interest rate
2.6
%
Expected life of option in years
6.5

Expected dividend yield
1.6
%
Expected volatility
20.0
%