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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 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 three months ended March 31, 2018 and 2017, respectively:

 
 
 
 
 
 
 
 
 
 
 
 
 
Three Months Ended March 31, 2018
 
Three Months Ended March 31, 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
1,566,788

 
$
46.18

 
$
151.12

 
2,701,644

 
$
25.01

 
$
95.66

RSUs
676,228

 
$
151.12

 
$
151.12

 
906,068

 
$
89.76

 
$
95.63

PRSUs
339,559

 
$
151.12

 
$
151.12

 
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 three months ended March 31, 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