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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2023
Summary of Stock-Based Compensation Expense The following table summarizes the Company’s stock-based compensation expense (in thousands):
 
    
Three Months Ended
June 30,
    
Six Months Ended
June 30,
 
    
2023
    
2022
    
2023
    
2022
 
Stock appreciation rights
   $ 198      $ 196      $ 412      $ 350  
Time-based restricted stock and restricted stock units
     871        959        1,806        1,806  
Performance-based restricted stock and restricted stock units
     1,320        (151      2,044        1,007  
Employee stock purchase plan
     201        53        300        119  
  
 
 
    
 
 
    
 
 
    
 
 
 
Total stock-based compensation
   $ 2,590      $ 1,057      $ 4,562      $ 3,282  
  
 
 
    
 
 
    
 
 
    
 
 
 
Summary of Assumptions Used to Estimate Fair Value of Each SAR
The fair value of each SAR is estimated on the date of grant using a Black-Scholes option-pricing formula. For SARs issued in the six months ended June 30, 2023, and June 30, 2022, the data and assumptions shown in the following table were used:
 
    
Six Months Ended

June 30, 2023
   
Six Months Ended

June , 2022
 
Weighted-average fair value of grants
   $ 27.19     $ 33.90  
Dividend yield
     0     0
Average risk-free interest rate
     4.0     1.9
Expected term (years)
     5       5  
Expected volatility
     49.5     44.9
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the six months ended June 30, 2023:
 
    
Stock Awards Granted
    
Weighted-Average

Grant Price

Per Share
 
Time-based restricted stock units
     77,675      $ 56.73  
Performance-based restricted stock units (a)
     96,013      $ 56.79  
Stock appreciation rights
     51,916      $ 56.80  
 
(a)
Includes 85,044 of target performance-based restricted stock unit awards granted during the six months ended June 30, 2023, and adjustments of 1,413 and 9,646 to grants due to the actual performance level achieved for restricted stock and restricted stock units awarded in 2021 and 2020, respectively.