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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2019
Summary of Stock-Based Compensation Grants
The following table summarizes the Company’s stock-based compensation grants for the three months ended March 31, 2019:
 
 
 
Stock Awards Granted
 
 
Weighted-Average

Grant Price

Per Share
 
Time-based restricted stock units
 
 
26,158
 
 
$
77.61
 
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 three months ended March 31, 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 three months ended March 31, 2019 and 2018 the data and assumptions shown in the following table were used:
 
 
 
Three Months Ended

March 31, 2019
 
 
Three Months Ended

March 31, 2018
 
Weighted-average fair value of grants
 
$
29.56
 
 
$
44.17
 
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

March 31,
 
 
 
2019
 
 
2018
 
Stock appreciation rights
 
$
295
 
 
$
202
 
Time-based restricted stock and restricted stock units
 
 
1,149
 
 
 
822
 
Performance-based restricted stock and restricted stock units
 
 
1,314
 
 
 
1,249
 
Employee stock purchase plan
 
 
35
 
 
 
33
 
Total stock-based compensation
 
$
2,793
 
 
$
2,306