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Stockholders' Equity
3 Months Ended
Mar. 31, 2020
Stockholders' Equity and Stock-based Compensation Disclosure [Abstract]  
Stockholders' Equity Stockholders’ Equity
Stock Option Plan
In June 2011, the Company adopted the 2011 Stock Plan. The 2011 Stock Plan provides for the grant of incentive stock options to employees and for the grant of non-statutory stock options, stock appreciation rights, restricted stock and restricted stock units to employees, directors and consultants.
A summary of the activities related to the Company’s stock option plans is as follows:
 
 
 
Options Outstanding
 
Shares
Available
for Grant
 
Number of
Shares
 
Weighted-
Average
Exercise Price
(per share)
Balances as of December 31, 2019
6,111,561

 
20,859,326

 
$
124.28

Granted
(581,455
)
 
581,455

 
354.55

Exercised

 
(973,969
)
 
45.77

Expired

 
(48
)
 
9.96

Balances as of March 31, 2020
5,530,106

 
20,466,764

 
$
134.56

Vested and exercisable as of March 31, 2020
 
 
20,466,764

 
$
134.56



The aggregate intrinsic value of the Company's outstanding stock options as of March 31, 2020 was $4,937 million and represents the total pretax intrinsic value (the difference between the Company’s closing stock price on the last trading day of the first quarter of 2020 and the exercise price, multiplied by the number of in-the-money options) that would have been received by the option holders had all option holders exercised their options on the last trading day of the first quarter of 2020. This amount changes based on the fair market value of the Company’s common stock. The weighted-average remaining contractual term of the Company's outstanding stock options as of March 31, 2020 included in the table above was 5.57 years.
A summary of the amounts related to option exercises, is as follows:
 
Three Months Ended
 
March 31,
2020
 
March 31,
2019
 
(in thousands)
Total intrinsic value of options exercised
$
303,226

 
$
180,842

Cash received from options exercised
43,694

 
22,972


Stock-based Compensation
Stock options granted are exercisable for the full ten year contractual term regardless of employment status. The following table summarizes the assumptions used to value option grants using the lattice-binomial model and the valuation data:
 
Three Months Ended
 
March 31,
2020
 
March 31,
2019
Dividend yield
%
 
%
Expected volatility
37
%
 
41
%
Risk-free interest rate
1.71
%
 
2.74
%
Suboptimal exercise factor
3.34

 
3.07

Weighted-average fair value (per share)
$
167

 
$
163

Total stock-based compensation expense (in thousands)
$
97,019

 
$
101,200

Total income tax impact on provision (in thousands)
$
21,309

 
$
21,628



The Company considers several factors in determining the suboptimal exercise factor, including the historical and estimated option exercise behavior.
The Company calculates expected volatility based solely on implied volatility. The Company believes that implied volatility of publicly traded options in its common stock is more reflective of market conditions, and given consistently high trade volumes of the options, can reasonably be expected to be a better indicator of expected volatility than historical volatility of its common stock.
In valuing shares issued under the Company’s employee stock option plans, the Company bases the risk-free interest rate on U.S. Treasury zero-coupon issues with terms similar to the contractual term of the options. The Company does not anticipate paying any cash dividends in the foreseeable future and therefore uses an expected dividend yield of zero in the option valuation model. The Company does not use a post-vesting termination rate as options are fully vested upon grant date.