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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2020
Summary of Stock-Based Compensation Expense The following table summarizes the Company’s stock-based compensation expense (in thousands):
 
Three Months Ended
March 31
 
 
2020
 
 
2019
 
Stock appreciation rights
  $
354
    $
295
 
Time-based restricted stock and restricted stock units
   
1,256
     
1,149
 
Performance-based restricted stock and restricted stock units
   
1,135
     
1,314
 
Employee stock purchase plan
   
30
     
35
 
                 
Total stock-based compensation
  $
2,775
    $
2,793
 
                 
Summary of Assumptions Used to Estimate Fair Value of Each SAR For SARs issued in the three months ended March 31, 2020 and 2019 the data and assumptions shown in the following table were used:
                                                             
 
Three Months Ended
March 31, 2020
 
 
Three Months Ended
March 31, 2019
 
Weighted-average fair value of grants
  $
35.65
    $
29.56
 
Dividend yield
   
0
%    
0
%
Average risk-free interest rate
   
1.4
%    
2.5
%
Expected term (years)
   
5
     
5
 
Expected volatility
   
37.8
%    
39.1
%
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the three months ended March 31, 2020:
                                                             
 
Stock Awards Granted
 
 
Weighted-Average

 Grant Price
Per Share
 
Time-based restricted stock units
   
19,769
      $
101.53
   
Performance-based restricted stock units (a)
   
36,510
    $
78.18
 
Stock appreciation rights
   
19,792
    $
101.66
 
  (a) Includes 24,320 of target performance-based restricted stock unit awards granted during the three months ended March 31, 2020, and adjustments of (2,562), 3,029 and 11,723 to grants due to the actual performance level achieved for restricted stock and restricted stock units awarded in 2019, 2018 and 2017, respectively.