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Equity-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2017
Equity-Based Compensation  
Summary of RSUs

Restricted Stock Units — A summary of our RSUs is presented in the table below (units in thousands):

 

 

 

 

 

 

 

 

 

 

Weighted Average

 

 

 

 

Per Share

 

    

Units

    

Fair Value

Unvested as of January 1, 2017

 

490

 

$

51.32

Granted

 

138

 

$

73.67

Vested

 

(169)

 

$

42.65

Forfeited

 

(15)

 

$

61.62

Unvested as of December 31, 2017

 

444

 

$

61.20

 

Summary of PSUs

A summary of our PSUs, at 100% of the targeted amount, is presented in the table below (units in thousands):

 

 

 

 

 

 

 

    

 

    

Weighted Average

 

 

 

 

Per Share

 

    

Units

    

Fair Value

Unvested as of January 1, 2017

 

1,505

 

$

68.98

Granted

 

400

 

$

84.54

Vested

 

(570)

 

$

55.22

Forfeited

 

(36)

 

$

85.57

Unvested as of December 31, 2017

 

1,299

 

$

84.78

 

Summary of Stock Options

A summary of our stock options is presented in the table below (options in thousands):

 

 

 

 

 

 

 

    

 

    

Weighted Average

 

 

 

 

Per Share

 

    

Options

    

Exercise Price

Outstanding as of January 1, 2017

 

5,643

 

$

45.12

Granted

 

1,732

 

$

65.45

Exercised

 

(2,331)

 

$

42.19

Forfeited or expired

 

(159)

 

$

53.35

Outstanding as of December 31, 2017 (a)

 

4,885

 

$

53.46

Exercisable as of December 31, 2017 (b)

 

2,124

 

$

41.56


(a)

Stock options outstanding as of December 31, 2017 have a weighted average remaining contractual term of 6.5 years and an aggregate intrinsic value of $160 million based on the market value of our common stock on December 31, 2017.

(b)

Stock options exercisable as of December 31, 2017 have an aggregate intrinsic value of $95 million based on the market value of our common stock on December 31, 2017.

Summary of Exercisable Stock Options

Stock options exercisable as of December 31, 2017 were as follows (options in thousands):

 

 

 

 

 

 

 

 

 

    

 

    

Weighted Average

    

 

 

 

 

 

Per Share

 

Weighted Average

Range of Exercise Prices

    

Options

    

Exercise Price

    

Remaining Years

$32.315-$40.00

 

1,127

 

$

36.13

 

3.6

$40.01-$50.00

 

541

 

$

41.37

 

6.2

$50.01-$56.235

 

456

 

$

55.21

 

7.5

$32.315-$56.235

 

2,124

 

$

41.56

 

5.1

 

Weighted Average Assumptions Used to Value Employee Stock Options Granted

The following table presents the weighted average assumptions used to value employee stock options granted during the years ended December 31 under the Black-Scholes valuation model:

 

 

 

 

 

 

 

 

 

 

 

    

2017

    

2016

    

2015

Expected option life

 

3.5

years

 

4.7

years

 

4.4

years

Expected volatility

 

15.3

%  

 

18.4

%  

 

16.7

%

Expected dividend yield

 

2.3

%  

 

2.9

%  

 

2.8

%

Risk-free interest rate

 

1.7

%  

 

1.3

%  

 

1.4

%