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Share-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2019
Equity [Abstract]  
Summary of Stock Options
The following is a summary of stock option activity for the nine months ended September 30, 2019:
 
Number of Options
(in thousands)
 
Weighted Average
Exercise Price per
Option
Outstanding at December 31, 2018
3,610

 
$
46.44

Granted
493

 
76.16

Exercised
(575
)
 
38.71

Outstanding at September 30, 2019
3,528

 
51.86


Details of Stock Options Outstanding
Details of stock options outstanding as of September 30, 2019 are as follows:
 
Number of Options
(in thousands)
 
Weighted Average
Exercise Price
 
Weighted Average
Remaining
Contractual Life
(Years)
 
Aggregate
Intrinsic
Value
(In millions)
Vested or expected to vest
3,528

 
$
51.86

 
6.4
 
$
143

Exercisable
2,458

 
$
44.27

 
5.4
 
$
118


Stock Options Valuation Assumptions During the nine months ended September 30, 2019 and 2018, we used the weighted-average assumptions in the table below to compute the value of all options for shares of common stock granted to employees:
 
Nine Months Ended September 30,
Assumptions:
2019
 
2018
Risk-free interest rate
2.49
%
 
2.67
%
Expected life in years
5.9

 
6.0

Expected volatility
20
%
 
20
%
Expected dividend yield
1.44
%
 
1.43
%
Estimated weighted-average fair value of options granted per share
$
15.45

 
$
14.08


Summary of Nonvested Restricted Stock Options
The following is a summary of the non-vested restricted share activity for the nine months ended September 30, 2019:  
 
Number of
Restricted
Shares
(in thousands)
 
Weighted Average
Grant-Date Fair
Value per Share
Non-vested at December 31, 2018
4,470
 
$
60.56

Granted
1,675
 
76.65

Vested
(2,191)
 
57.64

Forfeited
(189)
 
66.38

Non-vested at September 30, 2019
3,765
 
69.13