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Share-Based Compensation Plans (Tables)
9 Months Ended
Sep. 30, 2020
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
September 30,
Nine Months Ended
September 30,
($ in millions)2020201920202019
Pretax share-based compensation expense$126 $101 $354 $306 
Income tax benefit(17)(14)(48)(42)
Total share-based compensation expense, net of taxes$109 $87 $306 $264 
Assumptions Used to Determine Weighted-Average Fair Value of Options Granted During the first nine months of 2020, the Company granted 4 million stock options with a weighted-average exercise price of $77.67 per option and during the first nine months of 2019 granted 3 million stock options with a weighted-average exercise price of $80.05 per option. The weighted-average fair value of options granted during the first nine months of 2020 and 2019 was $9.93 and $10.63 per option, respectively, and was determined using the following assumptions:
  Nine Months Ended
September 30,
20202019
Expected dividend yield3.1 %3.2 %
Risk-free interest rate0.4 %2.4 %
Expected volatility22.1 %18.7 %
Expected life (years)5.85.9