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Equity-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Remaining Unrecognized Compensation Expense
The following table shows the remaining unrecognized compensation expense on a pre-tax basis for all types of unvested equity awards outstanding as of December 31, 2022. This table does not include an estimate for future grants that may be issued.
2023$11,273 
20247,781 
20254,117 
2026408 
$23,579 
Schedule of Weighted-Average Assumptions Used to Calculate Fair Value of Stock Settled Stock Appreciation Rights
Following is a table that includes the weighted-average assumptions that the Company used to calculate fair value of stock-settled stock appreciation rights that were granted during the periods indicated.
Year Ended
202220212020
Expected volatility (1)N/A43.28 %35.23 %
Risk-free interest rate (2)N/A0.33 %1.66 %
Expected life (3)N/A
3.5 yrs
3.5 yrs.
Expected dividend yield (4)N/A0.00 %0.00 %
Weighted-average exercise price (5)N/A$85.19 $63.02 
(1)The Company utilizes historical volatility of the trading price of its common stock.
(2)Risk-free interest rate is based on the U.S. Treasury yield curve with respect to the expected life of the award.
(3)Depending upon the terms of the award, one of two methods will be used to calculate expected life:
(i)a weighted-average that includes historical settlement data of the Company’s equity awards and a hypothetical holding period, or (ii) the simplified method.
(4)The Company historically has not paid and currently has no plan to pay dividends.
(5)Exercise price is the closing price of the Company's common stock on the date of grant.
Schedule of Stock-Settled Appreciation Right Activity
A summary of the Company’s stock-settled stock appreciation right activity is as follows:
Shares Weighted-average exercise priceWeighted-average remaining
contractual term
Aggregate intrinsic value*
Outstanding at January 1, 2022150 $82.22 2.3$3,596 
Granted— — 
Exercised(2)63.02 
Forfeited— — 
Expired(1)116.06 
Outstanding at December 31, 2022147 $82.16 1.3$— 
Exercisable at December 31, 202272 $90.63 1.1$— 
* Aggregate intrinsic value is defined as the difference between the current market value at the reporting date (the closing price of the Company’s common stock on the last trading day of the period) and the exercise price of awards that were in-the-money. The closing price of the Company’s common stock at December 31, 2022 and January 1, 2022 was $53.20 and $101.20, respectively.
Schedule of Stock-Settled Restricted Stock Unit Activity
A summary of the Company’s stock-settled restricted stock unit activity is as follows:
Shares Weighted-average grant date fair value
Outstanding at January 1, 2022366$80.87 
Granted17091.67 
Vested(142)81.11 
Forfeited(9)83.11 
Outstanding at December 31, 2022385$85.50 
Schedule of Cash-Settled Restricted Stock Unit Activity
A summary of the Company’s cash-settled restricted stock unit activity is as follows:
Shares Weighted-average grant date fair value
Nonvested at January 1,202212$78.66 
Granted691.53 
Vested(3)79.22 
Forfeited(3)79.67 
Nonvested at December 31,202212$84.72