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Stock-Based Compensation
6 Months Ended
Jun. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
We recorded stock-based compensation expense of $8 million and $6 million ($5 million in each period, net of tax) during the three months ended June 30, 2023 and 2022, respectively, and $16 million and $12 million ($11 million and $9 million, net of tax) during the six months ended June 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)
72 208.55 
Vested (b)
(218)54.55 
Forfeited(5)158.70 
Outstanding and expected to vest at June 30, 2023 (c)
300 $146.24 1.5$68 
Performance-based and market-based RSUs
Outstanding at January 1, 2023691 $57.56 
Granted (a)
89 208.49 
Vested (b)
(344)21.09 
Forfeited(6)129.91 
Outstanding at June 30, 2023
430 $116.90 1.2$98 
Outstanding and expected to vest at June 30, 2023 (c)
384 $106.80 1.2$88 
__________
(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 six months ended June 30, 2022 was $194.74.
(b)The total fair value of RSUs vested during the six months ended June 30, 2023 and 2022 was $19 million, in each period.
(c)Aggregate unrecognized compensation expense related to time-based RSUs and performance-based and market-based RSUs amounted to $58 million and will be recognized over a weighted average vesting period of 1.3 years.