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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Summary of Stock Option and RSA Activity A summary of stock option and RSU activity as of December 31, 2022, and corresponding changes during the year, are as follows:
 Stock OptionsService-Based RSUsService and Performance-Based RSUs
(Shares in thousands)SharesWeighted-Average
Exercise Price
SharesWeighted-
Average Grant
Price
SharesWeighted-
Average Grant
Price
Outstanding as of December 31, 20213,104 $93.33 1,875 $117.36 3,741 $114.22 
Granted1,168 154.57 798 174.48 1,064 163.60 
Options exercised/RSUs vested(638)88.81 (751)113.19 (1,097)89.58 
Forfeited  (134)139.77 (236)137.42 
Expired      
Outstanding as of December 31, 20223,634 113.80 1,788 $142.92 3,472 $135.57 
Options vested and expected to vest as of December 31, 20223,607 113.54 
Options exercisable as of December 31, 20221,699 $80.57 
Weighted Average Assumptions Used
The fair value of options without market conditions is estimated on the date of grant using a Black-Scholes-Merton option-pricing model. The following weighted-average assumptions were used for options granted in 2022, 2021 and 2020:
202220212020
Dividend yield1.0 %1.5 %1.4 %
Expected volatility(a)
31 %31 %20 %
Risk-free interest rate1.7 %0.8 %1.6 %
Expected life of stock option (in years)(b)
7.17.27.1
Weighted-average fair value per option$55.30 $32.38 $25.83 
(a)The expected volatility is based on both weighted historical and implied volatilities of our common stock price.
(b)The expected life of stock options was determined using both historical data and expectations of option exercise behavior.
Weighted-Average Remaining Contractual Life and Aggregate Intrinsic Value of the Company's Stock Options Outstanding, Exercisable, and Vested and Expected to Vest The weighted-average remaining contractual life and the aggregate intrinsic value (the amount by which the fair value of our stock price exceeds the exercise price of the option) of the stock options outstanding, exercisable, and vested and expected to vest as of December 31, 2022, were as follows:
OutstandingExercisableVested and
Expected to Vest
Weighted-average remaining contractual life (in years)
5.63.65.6
Aggregate intrinsic value (millions)
$131 $114 $131 
Schedule of Share-Based Payment Award, Valuation Assumptions
The fair value of RSUs that do not include the r-TSR modifier, including those that contain only service conditions, is measured using our stock price on the grant date. The fair value of service and performance-based RSUs that include the r-TSR modifier is determined using a Monte Carlo valuation model with the following weighted-average assumptions in 2022, 2021 and 2020:
202220212020
Expected volatility(a)
42 %41 %19 %
Risk-free interest rate1.4 %0.2 %1.4 %
Remaining performance period (in years)
2.92.92.9
(a)The expected volatility is based on historical volatility of our common stock price.