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Stock compensation (Tables)
6 Months Ended
Jun. 30, 2019
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 Six Months Ended

For the Three Months Ended

For the Six Months Ended

June 30,

June 30,

 

2019

       

2018

      

2019

      

2018

      

2019

      

2018

      

2019

      

2018

      

 

Average risk-free interest rates

2.26

%  

2.71

%  

2.49

%  

2.47

%  

 

1.75

%  

2.52

%  

2.10

%  

2.50

%  

Average expected life (in years)

5.55

5.37

5.34

5.50

 

0.50

0.50

0.50

0.50

Volatility

39

%  

46

%  

45

%  

45

%  

 

37

%  

30

%  

34

%  

51

%  

Weighted-average fair value (in dollars)

30.92

28.65

31.47

39.47

 

13.11

12.11

13.69

16.25

Schedule of option activity under the 2010 Stock Plan

Option activity under the 2010 Stock Plan was as follows:

Shares Subject to

Outstanding Options

Weighted Average

    

Shares

    

Exercise Price

 

Balance at December 31, 2018

 

12,285,159

$

74.39

Options granted

 

2,429,688

$

73.23

Options exercised

 

(1,178,225)

$

26.93

Options cancelled

(567,093)

$

91.76

Balance at June 30, 2019

 

12,969,529

$

77.72

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

Outstanding Awards

    

Shares

    

Grant Date Value

 

Balance at December 31, 2018

    

2,043,337

$

80.35

RSUs granted

193,950

$

74.74

PSUs granted

100,000

$

74.38

PSUs achieved

44,940

$

65.76

RSUs cancelled

(83,723)

$

85.58

PSUs cancelled

(22,764)

$

66.44

RSUs released

(316,325)

$

87.99

Balance at June 30, 2019

1,959,415

$

77.86

Summary of share activity

The following table summarizes our shares available for grant:

Shares Available

    

for Grant

 

Balance at December 31, 2018

 

7,023,328

Additional authorization

 

7,700,000

Options, RSUs and PSUs granted

 

(2,891,106)

Options, RSUs and PSUs cancelled

673,580

Balance at June 30, 2019

 

12,505,802