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Stock compensation (Tables)
3 Months Ended
Mar. 31, 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:

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Employee Stock Options

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Employee Stock Purchase Plan

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For the Three Months Ended March 31,

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2020

       

2019

      

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2020

      

2019

      

 

Average risk-free interest rates

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1.56

%   

2.51

%   

 

0.23

%   

2.27

%   

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Average expected life (in years)

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4.65

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5.33

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0.25

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0.25

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Volatility

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40

%  

45

%  

 

52

%  

34

%  

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Weighted-average fair value (in dollars)

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28.43

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31.50

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16.00

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13.31

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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:

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Shares Subject to

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Outstanding Options

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Weighted Average

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Shares

    

Exercise Price

 

Balance at December 31, 2019

 

12,632,657

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$

81.42

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Options granted

 

914,834

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$

80.12

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Options exercised

 

(688,202)

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$

26.83

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Options cancelled

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(180,342)

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$

91.57

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Balance at March 31, 2020

 

12,678,947

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$

84.14

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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:

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Shares Subject to

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Outstanding Awards

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Shares

    

Grant Date Value

 

Balance at December 31, 2019

    

2,602,376

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$

79.69

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RSUs granted

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379,496

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$

80.32

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RSUs released

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(64,426)

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$

87.36

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RSUs cancelled

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(39,795)

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$

80.31

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PSUs cancelled

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(12,250)

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$

65.76

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Balance at March 31, 2020

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2,865,401

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$

79.65

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Summary of shares available for grant

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

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Shares Available

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for Grant

 

Balance at December 31, 2019

 

9,882,122

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Options, RSUs and PSUs granted

 

(1,673,826)

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Options, RSUs and PSUs cancelled

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247,429

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Balance at March 31, 2020

 

8,455,725

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