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Stock-based Compensation Expense
3 Months Ended
Apr. 30, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-based Compensation Expense Stock-based Compensation Expense

Restricted Stock Units:

A summary of restricted stock activity for the three months ended April 30, 2017 is as follows:
 
 
Unvested
Restricted
Stock Units
 
Weighted
average grant
date fair value
per share
 
(in thousands)
 
 
Unvested restricted stock units at January 31, 2017
7,622.4

 
$
60.13

Granted
622.5

 
90.47

Vested
(890.9
)
 
57.85

Canceled/Forfeited
(105.4
)
 
57.62

        Performance Adjustment (1)
24.7

 
61.79

Unvested restricted stock units at April 30, 2017
7,273.3

 
$
63.73


 _______________
(1)
Based on Autodesk's financial results and relative total stockholder return for the fiscal 2017 performance period. The performance stock units were attained at rates ranging from 99.7% to 114.7% of the target award.

The fair value of the shares vested during the three months ended April 30, 2017 and 2016 was $76.9 million and $49.1 million, respectively.

During the three months ended April 30, 2017, Autodesk granted 0.4 million restricted stock. Autodesk recorded stock-based compensation expense related to restricted stock units of $50.0 million and $38.8 million during the three months ended April 30, 2017 and 2016, respectively. The $50.0 million of stock-based compensation expense for the three months ended April 30, 2017 includes $3.2 million related to the acceleration of eligible restricted stock awards in conjunction with the Company's former CEO's transition agreement.

During the three months ended April 30, 2017, Autodesk granted 0.2 million performance stock units for which the ultimate number of shares earned is determined based on the achievement of performance criteria at the end of the stated service and performance period. The performance criteria for these grants are based upon net subscription additions, subscription Annualized Recurring Revenue ("ARR"), non-GAAP total spend, and total subscription renewal rate goals ("FY18 performance criteria") adopted by the Compensation and Human Resource Committee, as well as total stockholder return compared against companies in the S&P Computer Software Select Index or the S&P North American Technology Software Index (“Relative TSR”). Performance stock units vest over a three-year period:

Up to one third of the performance stock units may vest following year one, depending upon the achievement of the FY18 performance criteria as well as 1-year Relative TSR (covering year one).

Up to one third of the performance stock units may vest following year two, depending upon the achievement of the performance criteria for year two as well as 2-year Relative TSR (covering years one and two).

Up to one third of the performance stock units may vest following year three, depending upon the achievement of the performance criteria for year three as well as 3-year Relative TSR (covering years one, two and three).

Performance stock units are not considered outstanding stock at the time of grant, as the holders of these units are not entitled to any of the rights of a stockholder, including voting rights. Autodesk has determined the grant date fair value for these awards using a Monte Carlo simulation model because the awards are also subject to a market condition. The fair value of the performance stock units is expensed using the accelerated attribution over the vesting period. Autodesk recorded stock-based compensation expense related to performance stock units of $10.9 million and $6.3 million for the three months ended April 30, 2017 and 2016, respectively. The $10.9 million of stock-based compensation expense for the three months ended April 30, 2017 includes $4.6 million related to the acceleration of eligible performance stock awards in conjunction with the Company's former CEO's transition agreement.

1998 Employee Qualified Stock Purchase Plan (“ESPP”)

Under Autodesk’s ESPP, which was approved by stockholders in 1998, eligible employees may purchase shares of Autodesk’s common stock at their discretion using up to 15% of their eligible compensation, subject to certain limitations, at 85% of the lower of Autodesk's closing price (fair market value) on the offering date or the exercise date. The offering period for ESPP awards consists of four, six-month exercise periods within a 24-month offering period.

Autodesk issued 1.1 million and 1.2 million shares under the ESPP during the three months ended April 30, 2017 and 2016, respectively, with an average price of $38.34 and $36.67 per share. The weighted average grant date fair value of awards granted under the ESPP was $25.13 and $17.88 during the three months ended April 30, 2017 and 2016, respectively, calculated as of the award grant date using the Black-Scholes Merton (“BSM") option pricing model.

Stock-based Compensation Expense

The following table summarizes stock-based compensation expense for the three months ended April 30, 2017 and 2016, respectively, as follows:
 
 
Three Months Ended April 30,
 
2017
 
2016
Cost of maintenance and subscription revenue
$
2.8

 
$
2.0

Cost of license and other revenue
1.1

 
1.4

Marketing and sales
26.4

 
21.5

Research and development
21.2

 
18.9

General and administrative
15.3

 
7.8

Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$
66.8

 
$
51.6



Stock-based Compensation Expense Assumptions

Autodesk determines the grant date fair value of its share-based payment awards using a BSM option pricing model or the quoted stock price on the date of grant, unless the awards are subject to market conditions, in which case Autodesk uses a binomial-lattice model (e.g., Monte Carlo simulation model). The Monte Carlo simulation model uses multiple input variables to estimate the probability that market conditions will be achieved. Autodesk uses the following assumptions to estimate the fair value of stock-based awards:
 
 
Three Months Ended April 30, 2017

Three Months Ended April 30, 2016
 
Performance Stock Unit

ESPP

Performance Stock Unit

ESPP
Range of expected volatilities
31.8%
 
31.4 - 33.7%
 
38.4 - 38.6%
 
35.0 - 40.2%
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
1.0%
 
0.9 - 1.3%
 
0.6 - 0.7%
 
0.5 - 0.9%


Autodesk estimates expected volatility for stock-based awards based on the average of the following two measures: (1) a measure of historical volatility in the trading market for the Company’s common stock, and (2) the implied volatility of traded forward call options to purchase shares of the Company’s common stock. The expected volatility for performance stock units subject to market conditions includes the expected volatility of Autodesk's peer companies within the S&P Computer Software Select Index or S&P North American Technology Software Index with a market capitalization over $2 billion, depending on the award type.

The range of expected lives of ESPP awards are based upon the four, six-month exercise periods within a 24-month offering period.

Autodesk does not currently pay, and does not anticipate paying in the foreseeable future, any cash dividends. Consequently, an expected dividend yield of zero is used in the BSM option pricing model and the Monte Carlo simulation model.

The risk-free interest rate used in the BSM option pricing model and the Monte Carlo simulation model for stock-based awards is the historical yield on U.S. Treasury securities with equivalent remaining lives.

Autodesk recognizes expense only for the stock-based awards that ultimately vest. As permitted by ASU 2016-09, Autodesk accounts for forfeitures of our stock-based awards as those forfeitures occur.