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Capital Stock and Equity Compensation (Tables)
 9 Months Ended
Sep. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Assumptions Used in Calculation of Fair Value
Below are the assumptions used in the Monte Carlo calculation on the respective grant dates for awards granted in 2019 and 2018:
 
June 3, 2019
 
February 7, 2019
 
September 17, 2018
 
February 8, 2018
Expected volatility
39.7%
 
36.7%
 
36.6%
 
34.8%
Expected term (in years)
2.6
 
2.9
 
3.0
 
3.0
Risk-free interest rate
1.78%
 
2.43%
 
2.85%
 
2.28%
Summary of Activity Under Stock Option Plans
A summary of the activity under our stock option plans for the nine months ended September 30, 2019 is presented below:
 
Options Outstanding
 
Weighted- Average Exercise Price Per Share
 
Weighted-Average Remaining Contractual Life in Years
 
Aggregate Intrinsic Value
Options outstanding, vested and exercisable as of December 31, 2018
10,950

 
$
31.99

 
2.0
 
$
734,469

Options exercised
(10,650
)
 
$
32.21

 
 
 
 
Options expired
(300
)
 
$
23.86

 
 
 
 
Options outstanding, vested and exercisable as of September 30, 2019
—

 
$
—

 
0.0
 
$
—
Performance-Based Restricted Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Restricted Stock Activities
The following table summarizes the change in number of performance-based restricted stock units outstanding for the nine months ended September 30, 2019:
 
Performance-Based
Restricted Stock Units
Awards outstanding as of December 31, 2018
142,434

Awards granted
112,160

Stock issued
(131,650
)
Awards forfeited
(11,549
)
Awards outstanding as of September 30, 2019
111,395
Time-Based Restricted Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Restricted Stock Activities
A summary of activity of the outstanding time-based restricted stock units for the nine months ended September 30, 2019 is presented below:
 
Time-Based
Restricted Stock Units
Awards outstanding as of December 31, 2018
117,476

Awards granted
61,455

Stock issued
(65,887
)
Awards forfeited
(7,815
)
Awards outstanding as of September 30, 2019
105,229
Deferred Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Restricted Stock Activities
The following table summarizes the change in number of deferred stock units outstanding during the nine months ended September 30, 2019:
 
Deferred Stock Units
Awards outstanding as of December 31, 2018
8,400

Awards granted
5,950

Stock issued
(7,200
)
Awards outstanding as of September 30, 2019
7,150