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Stockholders' Equity (Tables)
12 Months Ended
Dec. 31, 2018
Stockholders' Equity Note [Abstract]  
Stock Option Plan Activity and Stock Options Granted
A summary of activities under our stock option plans consisted of the following:
 
Options
Outstanding
 
Exercise
Price(1)
 
Remaining
Life(2)
Outstanding as of January 1, 2018
3,948,908

 
$
48.28

 
5.89
Granted
543,968

 
$
55.00

 
9.00
Exercised
(310,383
)
 
$
43.31

 
 
Cancelled/forfeited
(182,861
)
 
$
48.86

 
 
Outstanding as of December 31, 2018
3,999,632

 
$
49.53

 
5.61
Exercisable as of December 31, 2018
1,554,378

 
$
51.06

 
3.69
 
 
Options
Outstanding
 
Exercise
Price
(1)
 
Remaining
Life(2)
Outstanding as of January 1, 2017
3,757,947

 
$
46.81

 
5.85
Granted
764,789

 
$
47.00

 
9.00
Exercised
(329,612
)
 
$
28.59

 
 
Cancelled/forfeited
(244,216
)
 
$
48.22

 
 
Outstanding as of December 31, 2017
3,948,908

 
$
48.28

 
5.89
Exercisable as of December 31, 2017
1,280,499

 
$
50.07

 
3.78
(1) Weighted average exercise price.
(2) Weighted average remaining contractual life in years.
The following tables summarize the details of options granted under our stock option plans that were still outstanding as of December 31, 2018, and the assumptions used to value those grants. All such grants were effective at the close of business on the date of grant.
 
 
Options
Granted
 
Option Exercise
(Strike) Price
 
Closing Stock
Price on Date
of Grant
 
December 31, 2018
Date of Grant
Options
Outstanding
 
Options
Exercisable
January 2, 2018
543,968

 
$
55.00

 
$
54.54

 
524,256

 
21,185

January 3, 2017
764,789

 
$
47.00

 
$
46.95

 
679,700

 

April 19, 2016
845,440

 
$
46.00

 
$
45.74

 
683,889

 
194,672

April 21, 2015
893,220

 
$
42.00

 
$
41.26

 
622,301

 
185,528

April 22, 2014
955,000

 
$
56.00

 
$
50.53

 
511,250

 
332,250

April 16, 2013
205,000

 
$
54.00

 
$
49.25

 
88,123

 
54,380

April 17, 2012
1,235,000

 
$
54.00

 
$
49.01

 
812,063

 
700,813

April 19, 2011
410,000

 
$
35.00

 
$
31.78

 
49,650

 
37,150

April 20, 2010
530,000

 
$
30.00

 
$
27.13

 
28,400

 
28,400

Total
6,382,417

 
 
 
 
 
3,999,632

 
1,554,378

Fair Value Assumptions for Options Granted
Date of Grant
Risk-free
Interest Rate
 
Expected Life
of Option in
Years
 
Expected
Dividend
Yield
 
Expected
Stock
Volatility
 
Estimated Fair
Value of Stock
Option
January 2, 2018
2.2
%
 
5.00
 
2.3
%
 
23.45
%
 
$
10.03

January 3, 2017
1.9
%
 
5.00
 
2.6
%
 
24.49
%
 
$
8.40

April 19, 2016
1.3
%
 
5.00
 
2.6
%
 
26.34
%
 
$
8.18

April 21, 2015
1.3
%
 
5.00
 
2.7
%
 
26.84
%
 
$
7.35

April 22, 2014
1.8
%
 
5.00
 
2.0
%
 
28.55
%
 
$
9.57

April 16, 2013
0.7
%
 
5.00
 
1.6
%
 
37.42
%
 
$
12.66

April 17, 2012
0.9
%
 
5.00
 
1.4
%
 
39.25
%
 
$
13.69

April 19, 2011
2.1
%
 
5.00
 
1.6
%
 
39.33
%
 
$
11.20

April 20, 2010
2.6
%
 
5.00
 
1.5
%
 
39.10
%
 
$
8.14

Reconciliation of Denominators used in Computation of Basic and Diluted Earnings per Share
The following tables present a reconciliation of the denominators used in the computation of basic and diluted earnings per share and a summary of the options to purchase shares of common stock which were excluded from the diluted earnings calculation because they were anti-dilutive:
Reconciliation
2018
 
2017
 
2016
Basic weighted average shares outstanding
286,966,917

 
288,208,435

 
288,949,525

Weighted shares assumed upon exercise of stock options
195,847

 
134,298

 
207,998

Diluted weighted average shares outstanding
287,162,764

 
288,342,733

 
289,157,523

Anti-Dilutive Options Excluded
Summary of Anti-dilutive Options Excluded
2018
 
2017
 
2016
Options to purchase shares of common stock
1,579,757

 
3,524,401

 
3,095,343

Weighted average exercise prices of options
$
55.02

 
49.85

 
50.09