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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2015
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Stock-Based Compensation Expense
Total stock-based compensation expense recognized for the years ended December 31, 2015, 2014 and 2013 is as follows:
 
 
Year Ended December 31,
(in thousands, except per share amounts)
 
2015
 
2014
 
2013
Cost of sales:
 
 
 
 
 
 
Software licenses
 
$
745

 
$
1,776

 
$
1,349

Maintenance and service
 
1,868

 
2,035

 
2,293

Operating expenses:
 
 
 
 
 
 
Selling, general and administrative
 
17,153

 
17,073

 
16,847

Research and development
 
14,185

 
15,977

 
14,809

Stock-based compensation expense before taxes
 
33,951

 
36,861

 
35,298

Related income tax benefits
 
(11,656
)
 
(10,927
)
 
(11,096
)
Stock-based compensation expense, net of taxes
 
$
22,295

 
$
25,934

 
$
24,202

Net impact on earnings per share:
 
 
 
 
 
 
Basic earnings per share
 
$
(0.25
)
 
$
(0.28
)
 
$
(0.26
)
Diluted earnings per share
 
$
(0.24
)
 
$
(0.28
)
 
$
(0.25
)
Summary Of Stock Options
Information regarding stock option transactions is summarized below:
 
 
Year Ended December 31,
 
 
2015
 
2014
 
2013
(options in thousands)
 
Options
 
Weighted-
Average
Exercise
Price
 
Options
 
Weighted-
Average
Exercise
Price
 
Options
 
Weighted-
Average
Exercise
Price
Outstanding, beginning of year
 
4,932

 
$
48.76

 
6,166

 
$
44.77

 
7,122

 
$
42.85

Granted
 
57

 
$
88.10

 
150

 
$
81.09

 
103

 
$
81.87

Issued pursuant to acquisitions
 
8

 
$
12.26

 
21

 
$
23.26

 
—

 
$
—

Exercised
 
(975
)
 
$
40.52

 
(1,266
)
 
$
31.36

 
(993
)
 
$
34.26

Forfeited
 
(36
)
 
$
70.15

 
(139
)
 
$
61.11

 
(66
)
 
$
53.75

Outstanding, end of year
 
3,986

 
$
51.07

 
4,932

 
$
48.76

 
6,166

 
$
44.77

Vested and Exercisable, end of year
 
3,539

 
$
48.29

 
3,958

 
$
44.22

 
4,351

 
$
38.18

 
 
 
2015
 
2014
 
2013
Weighted-Average Remaining Contractual Term (in years)
 
 
 
 
 
 
Outstanding
 
4.85

 
5.53

 
5.99

Vested and Exercisable
 
4.53

 
5.00

 
5.13

Aggregate Intrinsic Value (in thousands)
 
 
 
 
 
 
Outstanding
 
$
165,131

 
$
163,932

 
$
261,601

Vested and Exercisable
 
$
156,487

 
$
149,536

 
$
213,304
Information Regarding Stock Options Outstanding
Information regarding stock options outstanding as of December 31, 2015 is summarized below:
(options in thousands)
 
Options Outstanding
 
Options Exercisable
Range of Exercise Prices
 
Options
 
Weighted-
Average
Remaining
Contractual
Life (years)
 
Weighted-
Average
Exercise
Price
 
Options
 
Weighted-
Average
Exercise
Price
$5.91 - $38.75
 
1,030

 
2.49
 
$
29.68

 
1,019

 
$
29.81

$38.86 - $48.97
 
1,077

 
4.27
 
$
45.39

 
1,077

 
$
45.39

$51.52 - $65.72
 
802

 
5.64
 
$
58.68

 
794

 
$
58.64

$67.34 - $94.15
 
1,077

 
7.08
 
$
71.55

 
649

 
$
69.43
Stock Options [Member]  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Assumptions To Estimate Fair Value Of Stock Awards
The table below presents the weighted average input assumptions used and resulting fair values for options granted or issued in business combinations during each respective year:
 
 
Year Ended December 31,
 
 
2015
 
2014
 
2013
Risk-free interest rate
 
1.18% to 1.65%
 
1.49% to 1.76%
 
0.68% to 1.48%
Expected dividend yield
 
—%
 
—%
 
—%
Expected volatility
 
25%
 
35%
 
37%
Expected term
 
5.6 years
 
5.7 years
 
5.8 years
Weighted-average fair value per share
 
$30.83
 
$32.26
 
$29.85
Restricted Stock Units (RSUs) [Member]  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Assumptions To Estimate Fair Value Of Stock Awards
 
Year Ended December 31,
Assumptions used in Monte Carlo lattice pricing model
2015
 
2014
 
2013
Risk-free interest rate
1.1%
 
0.7%
 
0.4%
Expected dividend yield
—%
 
—%
 
—%
Expected volatility—ANSYS stock price
23%
 
25%
 
25%
Expected volatility—NASDAQ Composite Index
14%
 
15%
 
20%
Expected term
2.8 years
 
2.8 years
 
2.8 years
Correlation factor
0.60
 
0.70
 
0.70