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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Schedule of Share-based Payment Award, Employee Stock Purchase Plan, Valuation Assumptions
The Company used the Black-Scholes model to estimate the fair value of 2015 ESPP awards with the following weighted-average assumptions:
 
Six Months Ended
 
June 30, 2019
 
June 30, 2018
Expected volatility factor
0.26 - 0.29
 
0.27 - 0.29

Risk free interest rate
2.19% - 2.49%
 
1.12% - 1.63%

Expected dividend yield
1.27% - 1.31%
 
0
%
Expected life (in years)
0.5
 
0.5


Schedule of Total Stock-based Compensation Recognized by Income Statement Classification
The detail of the total stock-based compensation recognized by income statement classification is as follows (in thousands):
 
Three Months Ended
 
Six Months Ended
Income Statement Classifications
June 30, 2019

June 30, 2018
 
June 30, 2019
 
June 30, 2018
Cost of subscription, support and services
$
2,956

 
$
2,241

 
$
5,158

 
$
3,721

Research and development
25,419

 
17,715

 
53,256

 
28,508

Sales, marketing and services
24,424

 
19,618

 
44,350

 
33,185

General and administrative
15,521

 
16,270

 
30,790

 
26,153

Total
$
68,320

 
$
55,844

 
$
133,554

 
$
91,567


Schedule of Assumptions Used to Value Nonvested Share Grants The grant date fair value of the non-vested performance stock unit awards was determined through the use of a Monte Carlo simulation model, which utilized multiple input variables that determined the probability of satisfying the market condition requirements applicable to each award as follows:
 
March 2017 Grant (Modified)
March 2017 Grant
Expected volatility factor
0.16-0.32

0.27-0.32

Risk free interest rate
2.67
%
1.48
%
Expected dividend yield
0
%
0
%