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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2020
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the six months ended June 30, 2020:
 
Stock Awards Granted
 
 
Weighted-Average
 Grant
 
Price
Per Share
 
Time-based restricted stock units
   
21,689
    $
99.95
 
Performance-based restricted stock units (a)
   
38,842
    $
78.64
 
Stock appreciation rights
   
21,643
    $
100.30
 
 
(a) Includes 26,652 of target performance-based restricted stock unit awards granted during the six months ended June 30, 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.
Summary of Assumptions Used to Estimate Fair Value of Each SAR For SARs issued in the six months ended June 30, 2020 and 2019 the data and assumptions shown in the following table were used:
 
Six Months Ended
June 30, 2020
 
 
Six Months Ended
June 30, 2019
 
Weighted-average fair value of grants
  $
35.37
    $
29.56
 
Dividend yield
   
0
%    
0
%
Average risk-free interest rate
   
1.3
%    
2.5
%
 
Expected term (years)
   
5
     
5
 
Expected volatility
   
38.2
%    
39.1
%
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,
 
 
2020
 
 
2019
 
 
2020
 
 
2019
 
Stock appreciation rights
  $
96
    $
203
    $
450
    $
498
 
Time-based restricted stock and restricted stock units
   
671
     
1,306
     
1,928
     
2,455
 
Performance-based restricted stock and restricted stock units
   
562
     
569
     
1,695
     
1,883
 
Employee stock purchase plan
   
200
     
47
     
230
     
82
 
                                 
Total stock-based compensation
  $
1,529
    $
2,125
    $
4,303
    $
4,918