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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2019
Share-based Payment Arrangement [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, 2019 and 2018, respectively:

 
 
 
 
 
 
 
 
 
 
 
 
 
Nine Months Ended September 30, 2019
 
Nine Months Ended September 30, 2018
 
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
1,499,524

 
$
40.98

 
$
138.35

 
1,605,220

 
$
46.11

 
$
150.90

RSUs
657,389

 
$
138.35

 
$
138.35

 
722,521

 
$
150.64

 
$
150.64

PRSUs
342,097

 
$
138.35

 
$
138.35

 
344,866

 
$
150.93

 
$
150.93

 
 
 
 
 
 
 
 
 
 
 
 

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, 2019 and 2018, respectively:
 
 
 
 
 
 
Grant Year
 
2019
 
2018
Weighted-average dividend yield
2.56%
 
2.70%
Weighted-average volatility
29.1%
 
30.2%
Range of volatilities
25.1-38.7%
 
21.5-33.0%
Range of risk-free interest rates
2.48-2.68%
 
2.02-2.87%
Weighted-average expected lives
7 years
 
8 years