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Stock Option Plans (Tables)
9 Months Ended
Sep. 30, 2019
Text Block [Abstract]  
Black-Scholes Option Pricing Model with Weighted Average
For purposes of expense recognition, the estimated fair values of the stock option grants are amortized to expense over the options’ vesting period. We estimated the fair value of stock options at the date of grant using the Black-Scholes option pricing model with the following weighted average assumptions:
 
2019
 
 
2018
 
Expected dividend yield
   
1.7
%    
2.3
%
Expected risk-free interest rate
   
2.5
%    
2.7
%
Volatility
   
15.6
%    
15.1
%
Expected life (in years)
   
5.5
     
5.5
 
Stock Option Activity and Related Information
The following is a summary of our stock option activity and related information for 2019 (in millions, except exercise price and year data):
 
Nine-month period ended September 30, 2019
 
 
Shares
Under
Option
 
 
Weighted
Average
Exercise
Price
 
 
Weighted
Average
Remaining
Contractual
Term
(in years)
 
 
Aggregate
Intrinsic
Value
 
Beginning balance
   
8.8
    $
50.16
     
     
 
Granted
   
1.3
     
79.59
     
     
 
Exercised
   
(1.5
)    
42.60
     
     
 
Forfeited or canceled
   
(0.2
)    
56.16
     
     
 
                                 
Ending balance
   
8.4
    $
55.92
     
3.90
    $
281.0
 
                                 
Exercisable at end of period
   
2.4
    $
44.92
     
2.00
    $
106.3
 
                                 
Ending unvested and expected to vest
   
5.8
    $
59.74
     
4.61
    $
170.2
 
                                 
Other Information Regarding Stock Options Outstanding and Exercisable
 
 
 
 
 
 
Options Outstanding
   
Options Exercisable
 
 
 
 
 
 
 
 
 
Weighted
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Average
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Remaining
 
 
Weighted
 
 
 
 
Weighted
 
 
 
 
 
 
 
 
 
Contractual
 
 
Average
 
 
 
 
Average
 
 
 
 
 
 
 
Number
 
 
Term
 
 
Exercise
 
 
Number
 
 
Exercise
 
Range of Exercise Prices
   
Outstanding
 
 
(in years)
 
 
Price
 
 
Exercisable
 
 
Price
 
$
     39.17
     
—  
    $
39.17
     
0.4
     
0.45
    $
39.17
     
0.3
    $
39.17
 
 
43.71
     
—  
     
43.71
     
1.9
     
3.46
     
43.71
     
0.5
     
43.71
 
 
46.17
     
—  
     
46.87
     
2.1
     
2.03
     
46.46
     
1.6
     
46.56
 
 
47.92
     
     
63.60
     
1.5
     
4.46
     
56.81
     
—  
     
—  
 
 
70.74
     
—  
     
70.74
     
1.2
     
5.46
     
70.74
     
—  
     
—  
 
 
79.59
     
—  
     
79.59
     
1.3
     
6.46
     
79.59
     
—  
     
—  
 
                                           
$
     39.17
     
—  
    $
     79.59
     
8.4
     
3.90
    $
     55.92
     
2.4
    $
     44.92