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Stock compensation (Tables)
6 Months Ended
Jun. 30, 2020
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 Six Months Ended

For the Three Months Ended

For the Six Months Ended

June 30,

June 30,

 

2020

       

2019

      

2020

      

2019

      

2020

      

2019

      

2020

      

2019

      

Average risk-free interest rates

0.33

%  

2.26

%  

1.32

%  

2.49

%  

 

0.16

%  

1.75

%  

0.19

%  

2.10

%  

Average expected life (in years)

5.48

5.55

4.80

5.34

 

0.50

0.50

0.50

0.50

Volatility

39

%  

39

%  

40

%  

45

%  

 

38

%  

37

%  

48

%  

34

%  

Weighted-average fair value (in dollars)

34.13

30.92

29.49

31.47

 

19.50

13.11

17.47

13.69

Schedule of option activity under the 2010 Stock Plan

Option activity under our 2010 Amended and Restated Stock Incentive Plan (the “2010 Stock Plan”) was as follows:

Shares Subject to

Outstanding Options

Weighted Average

    

Shares

    

Exercise Price

 

Balance at December 31, 2019

 

12,632,657

$

81.42

Options granted

 

1,123,442

$

83.01

Options exercised

 

(1,602,004)

$

49.13

Options cancelled

(274,941)

$

93.91

Balance at June 30, 2020

 

11,879,154

$

85.63

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

Restricted stock unit (“RSU”) and performance share (“PSU”) award activity under the 2010 Stock Plan was as follows:

Shares Subject to

Outstanding Awards

    

Shares

    

Grant Date Value

 

Balance at December 31, 2019

    

2,602,376

$

79.69

RSUs granted

415,017

$

81.56

RSUs released

(92,818)

$

85.93

RSUs cancelled

(62,956)

$

80.10

PSUs cancelled

(142,250)

$

68.79

Balance at June 30, 2020

2,719,369

$

80.33

Summary of shares available for grant

The following table summarizes our shares available for grant under the 2010 Stock Plan:

Shares Available

    

for Grant

 

Balance at December 31, 2019

 

9,882,122

Options, RSUs and PSUs granted

 

(1,953,476)

Options, RSUs and PSUs cancelled

506,744

Balance at June 30, 2020

 

8,435,390