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Share-Based Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [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)
2019
 
2018
 
2019
 
2018
Pretax share-based compensation expense
$
111

 
$
90

 
$
204

 
$
170

Income tax benefit
(15
)
 
(13
)
 
(28
)
 
(28
)
Total share-based compensation expense, net of taxes
$
96

 
$
77

 
$
176

 
$
142


Assumptions Used to Determine Weighted-Average Fair Value of Options Granted The weighted-average fair value of options granted during the first six months of 2019 and 2018 was $10.63 and $8.19 per option, respectively, and was determined using the following assumptions:
  
Six Months Ended 
 June 30,
 
2019
 
2018
Expected dividend yield
3.2
%
 
3.4
%
Risk-free interest rate
2.4
%
 
2.8
%
Expected volatility
18.7
%
 
19.1
%
Expected life (years)
5.9

 
6.1