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Stock-Based Compensation
9 Months Ended
Sep. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
We recorded stock-based compensation expense of $7 million ($5 million, net of tax) during the three months ended September 30, 2023 and 2022, in each period, and $23 million and $19 million ($16 million and $14 million, net of tax) during the nine months ended September 30, 2023 and 2022, respectively.

In 2020, we granted market-based restricted stock units (“RSUs”) that vest based on absolute stock price attainment. The grant date fair value of this award is estimated using a Monte Carlo simulation model.

The weighted average assumptions used in the model are as follows:
Expected volatility of stock price91%
Risk-free interest rate0.18%
Valuation period3 years
Dividend yield—%

The activity related to RSUs consisted of (in thousands of shares):
Number of SharesWeighted
Average
Grant Date
Fair Value
Weighted Average Remaining Contractual Term (years)Aggregate Intrinsic Value
(in millions)
Time-based RSUs
Outstanding at January 1, 2023451 $92.06 
Granted (a)
74 209.08 
Vested (b)
(251)52.95 
Forfeited(7)163.91 
Outstanding and expected to vest at September 30, 2023 (c)
267 $159.55 1.4$48 
Performance-based and market-based RSUs
Outstanding at January 1, 2023691 $57.56 
Granted (a)
90 208.64 
Vested (b)
(381)21.05 
Forfeited(10)147.56 
Outstanding at September 30, 2023
390 $125.82 1.1$70 
Outstanding and expected to vest at September 30, 2023 (c)
344 $116.00 1.1$62 
__________
(a)Reflects the maximum number of stock units assuming achievement of all performance-, market- and time-vesting criteria and does not include those for non-employee directors. The weighted-average fair value of time-based RSUs and performance-based RSUs granted during the nine months ended September 30, 2022 was $178.13 and $193.48, respectively.
(b)The total fair value of RSUs vested during the nine months ended September 30, 2023 and 2022 was $21 million and $22 million, respectively.
(c)Aggregate unrecognized compensation expense related to time-based RSUs and performance-based and market-based RSUs amounted to $50 million and will be recognized over a weighted average vesting period of 1.3 years.