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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2019
Share-based Payment Arrangement [Abstract]  
Stock-Based Compensation Expense
Stock based compensation expense for the years ended December 31, 2019, 2018 and 2017 was as follows:
 
2019
 
2018
 
2017
Stock based compensation
$
104.5

 
$
133.8

 
$
83.1

Tax benefit recognized in net earnings
22.0

 
28.1

 
29.1


Weighted-Average Assumptions of Stock-Based Compensation The weighted-average fair value of options granted in 2019, 2018 and 2017 were calculated using the following weighted-average assumptions:
 
2019
 
2018
 
2017
Weighted-average fair value ($)
68.05

 
57.75

 
40.87

Risk-free interest rate (%)
2.37

 
2.65

 
2.03

Average expected option life (years)
5.42

 
5.32

 
5.26

Expected volatility (%)
19.22

 
18.05

 
18.74

Expected dividend yield (%)
0.58

 
0.59

 
0.67


Share-Based Compensation Activity
The following table summarizes the Company’s activities with respect to its share-based compensation plans for the years ended December 31, 2019 and 2018:
 
Number of shares
 
Weighted-average
exercise price
per share
 
Weighted-average
contractual term
 
Aggregate intrinsic
value
Outstanding at December 31, 2017
3.196

 
$
140.68

 
 
 
 
Granted
0.723

 
279.10

 
 
 
 
Exercised
(0.650
)
 
90.43

 
 
 
 
Canceled
(0.064
)
 
211.57

 
 
 
 
Outstanding at December 31, 2018
3.205

 
180.69

 
6.58
 
$
284.0

Granted
0.764

 
320.65

 
 
 
 

Exercised
(0.527
)
 
122.94

 
 
 
 

Canceled
(0.093
)
 
273.64

 
 
 
 

Outstanding at December 31, 2019
3.349


219.14

 
6.66
 
$
452.8

Exercisable at December 31, 2019
1.611

 
$
150.31

 
4.74
 
$
328.6


Schedule of Stock-Based Compensation by Exercise Price Range
The following table summarizes information for stock options outstanding at December 31, 2019:
 
 
Outstanding options
 
Exercisable options
Exercise price
 
Number
 
Average
exercise
price
 
Average remaining
life (years)
 
Number
 
Average
exercise
price
$51.11 - $125.17
 
0.370

 
$
95.34

 
2.0
 
0.370

 
$
95.34

$125.18 - $154.16
 
0.371

 
137.31

 
4.1
 
0.371

 
137.31

$154.17 - $170.58
 
0.269

 
164.82

 
5.2
 
0.269

 
164.82

$170.59 - $183.97
 
0.393

 
173.20

 
6.4
 
0.362

 
172.75

$183.98 - $212.18
 
0.439

 
202.41

 
7.1
 
0.198

 
199.20

$212.19 - $279.31
 
0.357

 
261.80

 
8.3
 
0.039

 
233.39

$279.32 - $279.44
 
0.460

 
279.39

 
8.2
 
0.002

 
279.39

$279.45 - $327.91
 
0.597

 
321.33

 
9.1
 

 

$327.92 - $366.76
 
0.093

 
351.80

 
9.5
 

 

$51.11 - $366.76
 
3.349

 
$
219.14

 
6.7
 
1.611

 
$
150.31


Schedule of Nonvested Restricted Stock Awards Activity A summary of the Company’s nonvested shares activity for 2019 and 2018 is as follows:
 
Number of
shares
 
Weighted-average
grant date
fair value
Nonvested at December 31, 2017
0.859

 
$
187.01

Granted
0.410

 
278.29

Vested
(0.492
)
 
204.24

Forfeited
(0.038
)
 
191.51

Nonvested at December 31, 2018
0.739

 
$
225.93

Granted
0.321

 
318.75

Vested
(0.290
)
 
209.05

Forfeited
(0.061
)
 
225.23

Nonvested at December 31, 2019
0.709

 
$
275.00