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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2021
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the nine months ended September 30, 2021:
 
    
Stock Awards Granted
    
Weighted-Average

Grant Price

Per Share
 
Time-based restricted stock units
     33,442      $ 101.28  
Performance-based restricted stock units (a)
     36,522      $ 86.26  
Stock appreciation rights
     15,029      $ 104.56  
 
(a)
Includes 26,511 of target performance-based restricted stock unit awards granted during the nine months ended September 30, 2021, and adjustments of 4,813, (887) and 6,085 to grants due to the actual performance level achieved for restricted stock and restricted stock units awarded in 2020, 2019, and 2018, respectively.
Summary of Assumptions Used to Estimate Fair Value of Each SAR For SARs issued in the nine months ended September 30, 2021 and September 30, 2020 the data and assumptions shown in the following table were used:
    
Nine Months Ended

September 30, 2021
   
Nine Months Ended

September 30, 2020
 
Weighted-average fair value of grants
   $ 51.84     $ 17.81  
Dividend yield
     0     0
Average risk-free interest rate
     0.6     1.3
Expected term (years)
     5       5  
Expected volatility
     58.7     38.3
Summary of Stock-Based Compensation Expense The following table summarizes the Company’s stock-based compensation expense (in thousands):
 
    
Three Months Ended
September 30,
    
Nine Months Ended
September 30,
 
    
2021
    
2020
    
2021
    
2020
 
Stock appreciation rights
   $ 94      $ 99      $ 352      $ 548  
Time-based restricted stock and restricted stock units
     692        663        2,133        2,590  
Performance-based restricted stock and restricted stock units
     1,047        774        3,487        2,471  
Employee stock purchase plan
     54        79        223        310  
    
 
 
    
 
 
    
 
 
    
 
 
 
Total stock-based compensation
   $ 1,887      $ 1,615      $ 6,195      $ 5,919