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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2016
Stock-Based Compensation [Abstract]  
Stock Based Compensation Expense

Stock based compensation expense for the years ended December 31, 2016, 2015 and 2014 was as follows (in millions):

 
 
2016
  
2015
  
2014
 
Stock based compensation
 
$
78.8
  
$
61.8
  
$
63.0
 
Tax benefit recognized in net income
  
27.6
   
21.6
   
22.1
 
Windfall tax benefit, net
  
-
   
22.2
   
21.5
 

Windfall tax benefits are no longer calculated due to the adoption of the ASU related to stock compensation (see Note 1), as all tax benefits are recognized in net income.

Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions

The Company estimates the fair value of its option awards using the Black-Scholes option valuation model. The stock volatility for each grant is measured using the weighted-average of historical daily price changes of the Company's common stock over the most recent period equal to the expected life of the grant. The expected term of options granted is derived from historical data to estimate option exercises and employee forfeitures, and represents the period of time that options granted are expected to be outstanding. The risk-free rate for periods within the contractual life of the option is based on the U.S. Treasury yield curve in effect at the time of grant. The weighted-average fair value of options granted in 2016, 2015 and 2014 were calculated using the following weighted-average assumptions:

 
 
2016
  
2015
  
2014
 
Weighted-average fair value ($)
  
34.57
   
33.98
   
34.95
 
Risk-free interest rate (%)
  
1.44
   
1.53
   
1.63
 
Average expected option life (years)
  
5.20
   
5.10
   
5.22
 
Expected volatility (%)
  
21.35
   
22.17
   
27.01
 
Expected dividend yield (%)
  
0.70
   
0.62
   
0.58
 

Schedule of Share-based Compensation, Stock Option Activity

The following table summarizes the Company's activities with respect to its share-based compensation plans for the years ended December 31, 2016 and 2015:

 
 
Number of shares
  
Weighted-average
exercise price
per share
 
Weighted-average
contractual term
 
Aggregate intrinsic
value
 
Outstanding at January 1, 2015
  
2,981,111
  
$
90.48
     
Granted
  
628,155
   
162.77
     
Exercised
  
(400,050
)
  
82.50
     
Canceled
  
(91,600
)
  
142.36
     
Outstanding at December 31, 2015
  
3,117,616
   
104.54
   
6.08
  
$
265,782,636
 
Granted
  
743,250
   
172.23
         
Exercised
  
(371,853
)
  
75.23
         
Canceled
  
(69,416
)
  
159.97
         
Outstanding at December 31, 2016
  
3,419,597
   
121.31
   
6.15
  
$
211,369,740
 
Exercisable at December 31, 2016
  
1,954,306
  
$
89.37
   
4.28
  
$
183,136,309
 

Summary of Options Outstanding and Exercisable, by Range of Exercise Prices
The following table summarizes information for stock options outstanding at December 31, 2016:

   
Outstanding options
  
Exercisable options
 
Exercise price
  
Number
  
Average
exercise
price
  
Average remaining
life (years)
  
Number
  
Average
exercise
price
 
$
38.46 - 57.68
   
689,289
  
$
53.28
   
1.5
   
689,289
  
$
53.28
 
 
57.69 - 76.91
   
259,460
   
72.55
   
4.2
   
259,460
   
72.55
 
 
76.92 - 96.14
   
249,281
   
93.34
   
5.0
   
249,281
   
93.34
 
 
96.15 - 115.37
   
283,069
   
114.99
   
6.0
   
283,069
   
114.99
 
 
115.38 - 134.60
   
503,778
   
130.72
   
7.0
   
368,456
   
129.96
 
 
134.61- 153.82
   
259,370
   
144.19
   
7.7
   
75,334
   
141.95
 
 
153.83 - 173.05
   
916,725
   
167.80
   
8.8
   
25,334
   
157.81
 
 
173.06 - 192.28
   
258,625
   
179.42
   
9.5
   
4,083
   
175.47
 
$
38.46 - 192.28
   
3,419,597
  
$
121.31
   
6.2
   
1,954,306
  
$
89.37
 

Schedule of Nonvested Restricted Stock Awards Activity
Restricted Stock Grants - During 2016 and 2015, the Company granted 555,730 and 437,035 shares, respectively, of restricted stock to certain employee and director participants under its share-based compensation plans. Restricted stock grants generally vest over a period of 1 to 3 years. The Company recorded $57.8 million, $46.5 million and $46.4 million of compensation expense related to outstanding shares of restricted stock held by employees and directors during 2016, 2015 and 2014, respectively.  A summary of the Company's nonvested shares activity for 2016 and 2015 is as follows:
 
 
 
Number of
shares
  
Weighted-average
grant date
fair value
 
Nonvested at December 31, 2014
  
542,555
  
$
130.29
 
Granted
  
437,035
   
159.32
 
Vested
  
(243,423
)
  
183.10
 
Forfeited
  
(26,892
)
  
148.82
 
Nonvested at December 31, 2015
  
709,275
  
$
146.64
 
Granted
  
555,730
   
172.67
 
Vested
  
(287,233
)
  
141.27
 
Forfeited
  
(25,100
)
  
139.56
 
Nonvested at December 31, 2016
  
952,672
  
$
164.62