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Stockholders' Equity (Tables)
6 Months Ended
Jul. 31, 2019
Summary of Stock Option Activity
A summary of stock option activity for the six months ended July 31, 2019 is as follows: 
 
Number
of shares
 
Weighted
average
exercise
price
 
Weighted
average
remaining
contractual
term (in years)
 
Aggregate
intrinsic
value
Options outstanding at January 31, 2019
12,961,397

 
$
19.43

 
5.4
 
$
1,161,695,032

Options granted
1,355,345

 
134.98

 
 
 
 
Options exercised
(1,014,592
)
 
6.81

 
 
 
 
Options forfeited/cancelled
(196,824
)
 
53.45

 
 
 
 
Options outstanding at July 31, 2019
13,105,326

 
$
31.85

 
5.4
 
$
1,756,820,772

Options vested and exercisable at July 31, 2019
6,478,882

 
$
5.83

 
3.6
 
$
1,037,073,153

Options vested and exercisable at July 31, 2019 and
expected to vest thereafter
13,105,326

 
$
31.85

 
5.4
 
$
1,756,820,772

 
 
 
 
 
 
 
 
Summary of Restricted Stock Unit (RSU) Activity
A summary of restricted stock unit (RSU) activity for the six months ended July 31, 2019 is as follows:
 
Unreleased restricted
stock units
 
Weighted 
average grant
date fair value
Balance at January 31, 2019
2,359,132

 
$
54.73

RSUs granted
226,058

 
135.39

RSUs vested
(644,003
)
 
50.78

RSUs forfeited/cancelled
(129,887
)
 
58.32

Balance at July 31, 2019
1,811,300

 
$
65.94

 
 
 
 

Schedule of Weighted-Average Assumptions Used to Estimate Grant Date Fair Value of Options Granted
The following table presents the weighted-average assumptions used to estimate the grant date fair value of options granted during the periods presented:
 
Three months ended
July 31,
 
Six months ended July 31,
 
2019
 
2018
 
2019
 
2018
Volatility
41%
 
—%
 
41%
 
41%
Expected term (in years)
6.25
 
 
5.75 - 6.35
 
6.35
Risk-free interest rate
1.81% - 2.23%
 
—%
 
1.81% - 2.52%
 
2.73%
Dividend yield
—%
 
—%
 
—%
 
—%
 
 
 
 
 
 
 
 

CEO  
Schedule of Weighted-Average Assumptions Used to Estimate Grant Date Fair Value of Options Granted
During the fiscal year ended January 31, 2018, we granted 2,838,635 stock options to our CEO. The stock option award is made up of five separate tranches. The first tranche vests over time, while the remaining four tranches vest based on certain stock price targets (market conditions). The grant date fair values of each tranche were calculated using a Monte Carlo simulation model. We have based our expected term on the historical stock activity behavior of our CEO. The following table provides the assumptions used in the Monte Carlo simulation for each tranche granted:
Volatility
41
%
Expected term (in years)
10.00

Risk-free interest rate
2.53
%
Dividend yield
%