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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2012
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
 
Nine Months Ended
 
Nine Months Ended
Income Statement Classifications
September 30, 2012
 
September 30, 2011
 
September 30, 2012
 
September 30, 2011
Cost of services and maintenance revenues
$
567

 
$
448

 
$
1,524

 
$
1,112

Research and development
14,523

 
9,599

 
39,722

 
21,465

Sales, marketing and services
13,977

 
8,434

 
37,254

 
21,618

General and administrative
11,036

 
6,473

 
30,422

 
19,396

Total
$
40,103

 
$
24,954

 
$
108,922

 
$
63,591

Assumptions Used To Value Option Grants
The assumptions used to value option grants under the 2005 Plan are as follows:
 
 
Three Months Ended
 
Three Months Ended
 
Nine Months Ended
 
Nine Months Ended
 
September 30, 2012
 
September 30, 2011
 
September 30, 2012
 
September 30, 2011
Expected volatility factor
0.43

 
0.50

 
0.38 - 0.43

 
0.38 - 0.50

Approximate risk free interest rate
0.52
%
 
0.64
%
 
0.52% - 0.68%

 
0.64% - 1.10%

Expected term (in years)
3.91

 
3.27

 
3.91

 
3.27

Expected dividend yield
0
%
 
0
%
 
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:
Expected volatility factor
0.21 - 0.39

Risk free interest rate
0.47
%
Expected dividend yield
0
%