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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2013
Share-based Compensation [Abstract]  
Detail Of The 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
 
Three Months Ended
Income Statement Classifications
March 31, 2013
 
March 31, 2012
Cost of services and maintenance revenues
$
634

 
$
450

Research and development
15,653

 
11,144

Sales, marketing and services
15,174

 
9,970

General and administrative
12,095

 
8,993

Total
$
43,556

 
$
30,557

Assumptions Used To Value Option Grants
The assumptions used to value option grants are as follows:
 
Three Months Ended
 
Three Months Ended
 
March 31, 2013
 
March 31, 2012
Expected volatility factor
0.39

 
0.38

Approximate risk free interest rate
0.44
%
 
0.65
%
Expected term (in years)
3.35

 
3.91

Expected dividend yield
0
%
 
0
%
Fair Value of the Non-Vested Performance Stock Unit Awards, Valuation Assumptions
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 2013 Grant
March 2012 Grant
Expected volatility factor
0.16 - 0.42

0.21 - 0.39

Risk free interest rate
0.33
%
0.47
%
Expected dividend yield
0
%
0
%