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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2019
Stock-Based Compensation  
Stock-based compensation expense, by award

The Company recorded stock-based compensation expense as follows in the unaudited condensed consolidated statements of income and comprehensive income (dollars in millions):

Three Months Ended September 30, 

Nine Months Ended September 30, 

    

2019

    

2018

    

2019

    

2018

Stock options

$

0.7

$

1.2

$

2.1

$

3.2

Restricted stock awards

 

0.1

 

0.3

 

0.3

 

0.7

Restricted stock units

2.7

1.8

6.3

4.3

Total stock-based compensation

$

3.5

$

3.3

$

8.7

$

8.2

Stock-based compensation expense, cost allocation

Three Months Ended September 30, 

Nine Months Ended September 30, 

    

2019

    

2018

    

2019

    

2018

Costs of product revenue

$

0.5

$

0.5

$

1.3

$

1.2

Selling, general and administrative

 

2.5

 

2.3

 

6.1

 

5.8

Research and development

0.5

0.5

1.3

1.2

Total stock-based compensation

$

3.5

$

3.3

$

8.7

$

8.2

Assumptions regarding volatility, expected life, dividend yield and risk-free interest rates

    

2019

    

2018

 

Risk-free interest rates

 

1.55

%  

2.80

%

Expected life

 

5.33

years

5.38

years

Volatility

 

29.57

%  

28.46

%

Expected dividend yield

 

0.38

%  

0.47

%

Schedule of stock option activity

Stock option activity for the nine months ended September 30, 2019 was as follows:

Weighted

Average

Weighted

Remaining

Aggregate

Shares Subject

Average

Contractual

Intrinsic Value

    

to Options

    

Option Price

    

Term (Yrs)

    

(in millions) (b)

Outstanding at December 31, 2018

 

2,593,310

$

21.41

Granted

112,232

44.17

Exercised

 

(465,701)

 

19.27

Forfeited/Expired

 

(85,340)

 

22.35

Outstanding at September 30, 2019

 

2,154,501

$

23.03

 

5.1

$

45.2

Exercisable at September 30, 2019

 

1,544,782

$

20.49

 

4.8

$

36.2

Exercisable and expected to vest at September 30, 2019 (a)

 

2,103,772

$

22.87

 

5.1

$

44.4

(a)In addition to the options that are vested at September 30, 2019, the Company expects a portion of the unvested options to vest in the future. Options expected to vest in the future are determined by applying an estimated forfeiture rate to the options that are unvested as of September 30, 2019.
(b)The aggregate intrinsic value is based on the positive difference between the fair value of the Company’s common stock price of $43.93 on September 30, 2019 and the exercise price of the underlying stock options.
Restricted stock awards  
Stock-Based Compensation  
Schedule of restricted stock award and restricted stock unit activity

Restricted stock award activity for the nine months ended September 30, 2019 was as follows:

Weighted

Average Grant

Shares Subject

Date Fair

    

to Restriction

    

Value

Outstanding at December 31, 2018

24,633

$

19.82

Vested

 

(24,633)

 

19.82

Outstanding at September 30, 2019

 

$

Restricted stock units  
Stock-Based Compensation  
Schedule of restricted stock award and restricted stock unit activity

Restricted stock unit activity for the nine months ended September 30, 2019 was as follows:

Weighted

Average Grant

Shares Subject

Date Fair

    

to Restriction

    

Value

Outstanding at December 31, 2018

 

806,249

$

29.88

Granted

346,462

40.66

Vested

 

(213,286)

 

31.14

Forfeited

(32,482)

29.20

Outstanding at September 30, 2019

 

906,943

$

33.73