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Stock compensation (Tables)
9 Months Ended
Sep. 30, 2018
Stock compensation  
Schedule of valuation assumptions used for valuation of fair value of stock compensation granted

We utilized the Black-Scholes valuation model for estimating the fair value of the stock compensation granted, with the following weighted-average assumptions:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Employee Stock Options

 

Employee Stock Purchase Plan

 

 

 

For the Three Months Ended

For the Nine Months Ended

 

For the Three Months Ended

For the Nine Months Ended

 

 

 

September 30,

 

September 30,

 

 

 

2018

       

2017

      

2018

      

2017

      

 

2018

      

2017

      

2018

      

2017

      

 

Average risk-free interest rates

 

2.72

%  

1.81

%  

2.60

%  

1.79

%  

 

2.81

%  

1.47

%  

2.63

%  

1.37

%  

 

Average expected life (in years)

 

5.03

 

4.99

 

5.27

 

5.24

 

 

0.50

 

0.50

 

0.50

 

0.50

 

 

Volatility

 

45

%  

48

%  

45

%  

49

%  

 

27

%  

39

%  

45

%  

41

%  

 

Weighted-average fair value (in dollars)

 

29.32

 

55.80

 

34.41

 

53.81

 

 

13.56

 

20.46

 

15.91

 

19.89

 

 

 

Schedule of option activity under the 2010 Stock Plan

Option activity under the 2010 Stock Plan was as follows:

 

 

 

 

 

 

 

 

 

 

 

 

 

Shares Subject to

 

 

 

 

 

Outstanding Options

 

 

 

Shares Available

 

 

 

Weighted Average

 

 

    

for Grant

    

Shares

    

Exercise Price

 

Balance at December 31, 2017

 

3,909,701

 

11,206,553

 

$

68.36

 

Additional authorization

 

5,000,000

 

 —

 

 

 —

 

Options granted

 

(3,122,149)

 

3,122,149

 

$

79.08

 

Options exercised

 

 —

 

(1,080,228)

 

$

22.89

 

Options cancelled

 

495,003

 

(495,003)

 

$

96.25

 

Balance at September 30, 2018

 

6,282,555

 

12,753,471

 

$

73.76

 

 

Schedule of RSU award and PSU activity under the 2010 Stock Plan

RSU award and PSU activity under the 2010 Stock Plan was as follows:

 

 

 

 

 

 

 

 

 

 

 

 

 

Shares Subject to

 

 

 

Shares Available

 

Outstanding Awards

 

 

    

for Grant

    

Shares

    

Grant Date Value

 

Balance at December 31, 2017

    

769,202

    

1,178,660

 

$

98.88

 

Additional authorization

 

1,000,000

 

 —

 

 

 —

 

RSUs granted

 

(867,197)

 

867,197

 

$

70.48

 

PSUs granted

 

(523,743)

 

523,743

 

$

66.18

 

RSUs cancelled

 

87,983

 

(87,983)

 

$

97.19

 

PSUs cancelled

 

6,750

 

(6,750)

 

$

65.76

 

RSUs released

 

 —

 

(337,357)

 

$

92.88

 

Balance at September 30, 2018

 

472,995

 

2,137,510

 

$

80.47

 

 

Summary of share activity

The following table summarizes our share activity:

 

 

 

 

 

 

Shares Issued

 

 

    

and Outstanding

 

Balance at December 31, 2017

 

211,262,906

 

Exercise of stock options and issuance under ESPP

 

1,234,321

 

Settlement of employee restricted stock units

 

256,182

 

Conversion of convertible senior notes

 

615

 

Balance at September 30, 2018

 

212,754,024