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Share-Based Compensation Plans (Tables)
3 Months Ended
Mar. 31, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Amounts of Share-Based Compensation Cost Recorded in Consolidated Statement of Income
The following table provides the amounts of share-based compensation cost recorded in the Condensed Consolidated Statement of Income:
 
Three Months Ended 
 March 31,
($ in millions)
2018
 
2017
Pretax share-based compensation expense
$
80

 
$
74

Income tax benefit
(15
)
 
(22
)
Total share-based compensation expense, net of taxes
$
65

 
$
52

Assumptions Used to Determine Weighted-Average Fair Value of Options Granted
The weighted-average fair value of options granted for the first three months of 2018 and 2017 was $7.83 and $7.89 per option, respectively, and was determined using the following assumptions:
  
Three Months Ended 
 March 31,
 
2018
 
2017
Expected dividend yield
3.4
%
 
3.7
%
Risk-free interest rate
2.7
%
 
2.0
%
Expected volatility
19.5
%
 
19.7
%
Expected life (years)
6.0

 
6.2