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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of type and fair value of the stock-based compensation awards granted during the period
The following table illustrates the type and fair value of the stock-based compensation awards granted during the nine months ended September 30, 2018 and 2017, respectively:

 
 
 
 
 
 
 
 
 
 
 
 
 
Nine Months Ended September 30, 2018
 
Nine Months Ended September 30, 2017
 
Shares Granted
 
Weighted-Average Fair Value Per Share
 
Weighted-Average Grant Date Stock Price
 
Shares Granted
 
Weighted-Average Fair Value Per Share
 
Weighted-Average Grant Date Stock Price
Stock options
1,605,220

 
$
46.11

 
$
150.90

 
2,701,644

 
$
25.01

 
$
95.66

RSUs
722,521

 
$
150.64

 
$
150.64

 
924,421

 
$
90.11

 
$
96.01

PRSUs
344,866

 
$
150.93

 
$
150.93

 
437,385

 
$
86.78

 
$
95.66

 
 
 
 
 
 
 
 
 
 
 
 
Schedule providing assumptions used in determining the fair value of stock-based awards
The following table provides the assumptions used in determining the fair value of the stock-based awards for the nine months ended September 30, 2018 and 2017, respectively:
 
 
 
 
 
 
Grant Year
 
2018
 
2017
Weighted-average dividend yield
2.70
%
 
3.42
%
Weighted-average volatility
30.2
%
 
29.2
%
Range of volatilities
21.5-33.0%

 
22.1-33.0%

Range of risk-free interest rates
2.02-2.87%

 
0.81-2.35%

Weighted-average expected lives
8 years

 
8 years