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Share-Based Compensation Plans (Tables)
6 Months Ended
Jun. 30, 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 
 June 30,
 
Six Months Ended 
 June 30,
($ in millions)
2018
 
2017
 
2018
 
2017
Pretax share-based compensation expense
$
90

 
$
82

 
$
170

 
$
156

Income tax benefit
(13
)
 
(25
)
 
(28
)
 
(47
)
Total share-based compensation expense, net of taxes
$
77

 
$
57

 
$
142

 
$
109

Assumptions Used to Determine Weighted-Average Fair Value of Options Granted
The weighted-average fair value of options granted for the first six months of 2018 and 2017 was $8.19 and $7.05 per option, respectively, and was determined using the following assumptions:
  
Six Months Ended 
 June 30,
 
2018
 
2017
Expected dividend yield
3.4
%
 
3.6
%
Risk-free interest rate
2.8
%
 
2.0
%
Expected volatility
19.1
%
 
17.9
%
Expected life (years)
6.1

 
6.1