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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the six months ended June 30, 2019:
                 
 
Stock Awards Granted
   
Weighted-Average

 Grant Price
Per Share
 
Time-based restricted stock units
   
26,325
    $
77.53
 
Performance-based restricted stock units (a)
   
80,104
    $
47.89
 
Stock appreciation rights
   
24,536
    $
77.70
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
  (a) Includes 32,462 of target performance-based restricted stock unit awards granted during the six months ended June 30, 2019, and adjustments of 27,154, 14,900 and 5,588 to grants due to the actual performance level achieved for restricted stock and restricted stock units awarded in 2016, 2017, and 2018, respectively.
 
 
 
 
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, 2019 and 2018 the data and assumptions shown in the following table were used:
                 
 
Six Months Ended
June 30, 2019
   
Six Months Ended
June 30, 2018
 
Weighted-average fair value of grants
  $
29.56
    $
22.09
 
Dividend yield
   
0
%    
0
%
Average risk-free interest rate
   
2.5
%    
2.7
%
Expected term (years)
   
5
     
5
 
Expected volatility
   
39.1
%    
40.4
%
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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,
 
 
2019
   
2018
   
2019
   
2018
 
Stock appreciation rights
  $
203
    $
56
    $
498
    $
259
 
Time-based restricted stock and restricted stock units
   
1,306
     
578
     
2,455
     
1,400
 
Performance-based restricted stock and restricted stock units
   
569
     
666
     
1,883
     
1,919
 
Employee stock purchase plan
   
47
     
45
     
82
     
67
 
                                 
Total stock-based compensation
  $
2,125
    $
1,345
    $
4,918
    $
3,645