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Share-Based Compensation
12 Months Ended
Dec. 31, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
SHARE-BASED COMPENSATION
Share-Based Compensation Plan
We have a stock option plan that provides for the grant of stock options to key employees, directors and non-employee consultants. Stock options generally vest after three to six years of continuous service from the date of grant and have a contractual term of 10 years. Once options become exercisable, the employee can purchase shares of our common stock at the market price on the date we granted the option. We account for share-based compensation utilizing the fair value recognition pursuant to ASC 718, Stock Compensation.  
As of December 31, 2017, there were 2.1 million shares available for future grants under the plan from the 20.0 million shares previously approved by the shareholders.
Determining Fair Value of Stock Compensation
Valuation and Amortization Method. We estimate the fair value of share-based awards granted using the Black-Scholes option valuation model. We amortize the fair value of all awards on a straight-line basis over the requisite service periods, which are generally the vesting periods.
Expected Life. The expected life of awards granted represents the period of time that they are expected to be outstanding. The expected life represents the weighted-average period the stock options are expected to be outstanding based primarily on the options’ vesting terms, remaining contractual life and the employees’ expected exercise based on historical patterns.
Expected Volatility. Using the Black-Scholes option valuation model, we estimate the volatility of our common stock at the date of grant based on the historical volatility of our common stock.
Risk-Free Interest Rate. We base the risk-free interest rate used in the Black-Scholes option valuation model on the implied yield currently available on U.S. Treasury zero-coupon issues with an equivalent remaining term equal to the expected life of the award.
Expected Dividend Yield. We have not paid any cash dividends on our common stock in more than ten years and we do not anticipate paying any cash dividends in the foreseeable future. Consequently, we use an expected dividend yield of zero in the Black-Scholes option valuation model.
Expected Forfeitures. We use historical data to estimate pre-vesting option forfeitures. We record share-based compensation only for those awards that are expected to vest.
The following weighted average assumptions were used for options granted:
 
Years Ended December 31,
 
2017
 
2016
 
2015
Expected life (in years)
6.0

 
6.0

 
6.0

Expected volatility
28.1
%
 
29.3
%
 
28.3
%
Risk-free interest rate
2.0
%
 
1.8
%
 
1.7
%
Expected forfeiture rate
%
 
%
 
1.7
%

 
The following table summarizes share-based compensation expense related to share-based awards which is recorded in the statements of comprehensive income:
 
Years Ended December 31,
 
2017
 
2016
 
2015
Cost of software services, maintenance and subscriptions
$
9,415

 
$
6,548

 
$
3,380

Selling, general and administrative expenses
27,933

 
23,199

 
16,802

Total share-based compensation expenses
37,348

 
29,747


20,182

Tax benefit
(40,624
)
 
(30,059
)
 
(5,986
)
Net (increase) decrease in net income
$
(3,276
)
 
$
(312
)

$
14,196


 Stock Option Activity
Options granted, exercised, forfeited and expired are summarized as follows:
 
Number of
Shares
 
Weighted
Average Exercise
Price
 
Weighted
Average
Remaining
Contractual Life
(Years)
 
Aggregate
Intrinsic Value
Outstanding at December 31, 2014
5,537

 
$
44.61

 
 
 
 

Granted
747

 
145.71

 
 
 
 

Exercised
(1,118
)
 
20.71

 
 
 
 

Forfeited
(2
)
 
19.61

 
 
 
 

Outstanding at December 31, 2015
5,164

 
64.43

 
 
 
 

Granted
846

 
147.25

 
 
 
 

Exercised
(827
)
 
28.43

 
 
 
 

Forfeited
(27
)
 
95.33

 
 
 
 

Outstanding at December 31, 2016
5,156

 
83.64

 
 
 
 
Granted
824

 
176.26

 
 
 
 
Exercised
(1,113
)
 
44.80

 
 
 
 

Forfeited
(50
)
 
134.83

 
 
 
 

Outstanding at December 31, 2017
4,817

 
107.91

 
7
 
$
334,940

Exercisable at December 31, 2017
2,355

 
78.40

 
6
 
$
232,366


 
We had unvested options to purchase 2.4 million shares with a weighted average grant date exercise price of $136.51 as of December 31, 2017, and unvested options to purchase 2.8 million shares with a weighted average grant date exercise price of $104.91 as of December 31, 2016. As of December 31, 2017, we had $88.2 million of total unrecognized compensation cost related to unvested options, net of expected forfeitures, which is expected to be amortized over a weighted average amortization period of 3.2 years.
Other information pertaining to option activity was as follows during the twelve months ended December 31:
 
2017
 
2016
 
2015
Weighted average grant-date fair value of stock options granted
$
55.56

 
$
46.89

 
$
45.17

Total intrinsic value of stock options exercised
137,699

 
103,703

 
149,542

 
Employee Stock Purchase Plan
Under our Employee Stock Purchase Plan (“ESPP”) participants may contribute up to 15% of their annual compensation to purchase common shares of Tyler. The purchase price of the shares is equal to 85% of the closing price of Tyler shares on the last day of each quarterly offering period. As of December 31, 2017, there were 797,000 shares available for future grants under the ESPP from the 2.0 million shares previously approved by the stockholders.