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Stock-based compensation (Tables)
12 Months Ended
Dec. 31, 2021
Share-based Payment Arrangement [Abstract]  
Components of stock-based compensation expense recognized in the Consolidated Statements of Income
The following table reflects the components of stock-based compensation expense recognized in our Consolidated Statements of Income (in millions):
Years ended December 31,
202120202019
RSUs$183 $178 $168 
Performance units121 118 105 
Stock options37 34 35 
Total stock-based compensation expense, pretax341 330 308 
Tax benefit from stock-based compensation expense(74)(72)(67)
Total stock-based compensation expense, net of tax$267 $258 $241 
Summary of RSUs
The following table summarizes information regarding our RSUs:
Year ended December 31, 2021
Units
(in millions)
Weighted-average
grant date
fair value
Balance nonvested as of December 31, 2020
3.0 $198.11 
Granted1.3 $233.10 
Vested(0.9)$177.27 
Forfeited(0.4)$213.32 
Balance nonvested as of December 31, 2021
3.0 $217.95 
Weighted-average assumptions used and the resulting weighted-average grant date fair value of stock options
The weighted-average assumptions used in the option valuation model and the resulting weighted-average grant date fair values of stock options granted were as follows:
Years ended December 31,
202120202019
Closing price of our common stock on grant date$237.17$236.36 $177.31 
Expected volatility (average of implied and historical volatility)25.6 %28.1 %23.5 %
Expected life (in years)5.75.85.8
Risk-free interest rate1.0 %0.4 %2.4 %
Expected dividend yield2.9 %3.0 %3.1 %
Fair value of stock options granted$40.43$42.34 $30.47 
Summary of stock options
The following table summarizes information regarding our stock options:
Year ended December 31, 2021
Options
(in millions)
Weighted-
average
exercise price
Weighted-
average
remaining
contractual
life (in years)
Aggregate
intrinsic
value
(in millions)
Balance unexercised as of December 31, 20204.7 $179.90 
Granted1.3 $237.17 
Exercised(0.5)$137.95 
Expired/forfeited(0.4)$208.56 
Balance unexercised as of December 31, 2021
5.1 $197.27 7.3$168 
Vested or expected to vest as of December 31, 2021
4.9 $195.64 7.2$167 
Exercisable as of December 31, 2021
2.0 $165.46 5.6$120 
Weighted average assumptions used and the resulting weighted average grant date fair value of performance units The weighted-average assumptions used in the payout simulation model and the resulting weighted-average grant date fair values of performance units granted were as follows:
Years ended December 31,
202120202019
Closing price of our common stock on grant date$239.64 $236.36 $177.31 
Volatility29.3 %27.5 %22.1 %
Risk-free interest rate0.3 %0.2 %2.3 %
Fair value of units granted$254.68 $249.07 $188.40