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Equity-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions
The table below provides the fair value assumptions for our outstanding stock options and SARs under the Incentive Plans. For all awards granted, we calculated volatility using historical and implied volatility of a peer group of public companies using weekly stock prices.
2020 Grants
(Grade Vesting - 4 years)
Expected volatility
48.86%
Dividend yield
3.13%
Expected term
4.57 years
Risk free rate
1.57%-1.60%
Fair value per share$11.38
The table below provides the assumptions used in estimating the fair values of our outstanding PRSUs under the Incentive Plans. For all awards granted, we calculated volatility using historical volatility and implied volatility of a peer group of public companies using weekly stock prices.
2022 Grants2021 Grants2020 Grants
Expected volatility
74.11%-77.89%
70.49%
45.06%-62.70%
Expected term
2.56-2.81 years
2.81 years
2.56-2.81 years
Risk free rate
1.84% -3.12%
0.14%
0.20%-0.56%
Fair value per share$35.03$36.23$10.65
Schedule of Share-based Compensation, Stock Options and Stock Appreciation Rights Award Activity
The following table summarizes our Incentive Plans stock option and SAR activity for the years ended December 31, 2022, 2021 and 2020:
Number of Shares Under OptionWeighted-Average Strike PriceWeighted-Average Contractual Term (in years)Average Intrinsic Value
(in millions)
Options and SARs outstanding, December 31, 20193,206,210 $34.21 
Granted17,000 $36.56 
Exercised(23,675)$14.68 
Forfeited(709,055)$34.25 
Options and SARs outstanding, December 31, 20202,490,480 $34.16 
Granted— $— 
Exercised(28,025)$15.67 
Forfeited(389,225)$38.10 
Options and SARs outstanding, December 31, 20212,073,230 $33.79 
Granted — $— 
Exercised(326,735)$26.04 
Forfeited(219,450)$35.72 
Options and SARs outstanding, December 31, 20221,527,045 $35.17 5.1$1.0
Vested options and SARs exercisable, December 31, 20221,447,795 $35.20 5.0$1.0
Schedule of Share-based Compensation, Restricted Stock Units Award Activity
The following table summarizes the RSU and PRSU activity under the Incentive Plans for the years ended December 31, 2022, 2021 and 2020:
Number of RSUsWeighted-Average Grant Date Price
BalanceDecember 31, 20191,112,842 $39.31 
Granted1,624,695 $15.14 
Vested(512,914)$29.72 
Forfeited(413,499)$24.98 
Performance Achieved18,651 $29.19 
BalanceDecember 31, 20201,829,775 $23.62 
Granted1,162,436 $26.07 
Vested(583,638)$28.03 
Forfeited(238,046)$22.58 
Performance Achieved(23,896)$47.68 
BalanceDecember 31, 20212,146,631 $23.54 
Granted1,345,746 $31.87 
Vested(611,440)$24.28 
Forfeited(129,771)$24.22 
Performance Not Achieved(129,833)$38.76 
BalanceDecember 31, 20222,621,333 $26.85