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Stock-based Compensation Expense (Tables)
3 Months Ended
Apr. 30, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of summary of restricted stock activity A summary of restricted stock activity for the three months ended April 30, 2018, is as follows:
 
 
Unvested
Restricted
Stock Units
 
Weighted
average grant
date fair value
per share
 
(in thousands)
 
 
Unvested restricted stock units at January 31, 2018
5,670.7

 
$
82.94

Granted
391.9

 
143.47

Vested
(712.4
)
 
82.44

Canceled/Forfeited
(279.7
)
 
80.85

        Performance Adjustment (1)
29.9

 
101.74

Unvested restricted stock units at April 30, 2018
5,100.4

 
$
88.55


 _______________
(1)
Based on Autodesk's financial results and relative total stockholder return for the fiscal 2018 performance period. The performance stock units were attained at rates ranging from 90.0% to 117.6% of the target award.

Schedule of summary of the ESPP activity A summary of the ESPP activity for three months ended April 30, 2018 and 2017, is as follows:

 
Three Months Ended April 30,
 
2018
 
2017
Issued shares
0.5

 
1.1

Average price of issued shares
$
88.45

 
$
38.34

Weighted average grant date fair value of awards granted under the ESPP (1)
$
37.64

 
$
25.13

 _______________
(1)
Calculated as of the award grant date using the Black-Scholes Merton (“BSM") option pricing model.
Schedule of stock-based compensation expense The following table summarizes stock-based compensation expense for the three months ended April 30, 2018 and 2017, respectively, as follows:
 
 
Three Months Ended April 30,
 
2018
 
2017
Cost of maintenance and subscription revenue
$
2.7

 
$
2.8

Cost of other revenue
0.8

 
1.1

Marketing and sales
24.0

 
26.4

Research and development
17.8

 
21.2

General and administrative
9.1

 
15.3

Stock-based compensation expense related to stock awards and ESPP purchases
54.4

 
66.8

Tax benefit
(0.4
)
 

Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$
54.0

 
$
66.8

Schedule of assumptions to estimate the fair value of stock-based awards Autodesk uses the following assumptions to estimate the fair value of stock-based awards:
 
 
Three Months Ended April 30, 2018

Three Months Ended April 30, 2017
 
Performance Stock Unit

ESPP

Performance Stock Unit

ESPP
Range of expected volatilities
35.7%

33.5 - 37.5%

31.8%

31.4 - 33.7%
Range of expected lives (in years)
N/A

0.5 - 2.0

N/A

0.5 - 2.0
Expected dividends
—%

—%

—%

—%
Range of risk-free interest rates
2.0%

1.9 - 2.3%

1.0%

0.9 - 1.3%