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Stockholders' Equity
6 Months Ended
Jun. 30, 2020
Stockholders' Equity Note [Abstract]  
Stockholders' Equity
(4) Stockholders' Equity
Dividends
On July 13, 2020, our board of directors declared a dividend of $0.25 per share of common stock to be paid in cash on August 25, 2020 to shareholders of record at the close of business on July 28, 2020. Since 2011, we have paid quarterly dividends. Our board of directors currently intends to continue paying quarterly dividends, provided that any future determination as to payment of dividends will depend on the financial condition and results of operations of the company and such other factors as are deemed relevant by the board of directors.
The following table presents the dividends either paid previously or declared by our board of directors for future payment on a per share basis:
 
2020
 
2019
First quarter
$
0.250

 
0.215

Second quarter
0.250

 
0.215

Third quarter
0.250

 
0.220

Fourth quarter

 
0.220

Total
$
0.750

 
0.870


Stock Options
The following tables summarize the details of options granted under our stock option plans that were outstanding as of June 30, 2020, and the assumptions used to value these 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
 
June 30, 2020
Date of Grant
 
 
 
Options
Outstanding
 
Options
Exercisable
January 2, 2020
902,263


$
38.00


$
37.230


891,871


24,964

January 2, 2019
1,316,924


$
26.00


$
25.705

 
1,242,736

 
29,010

January 2, 2018
1,087,936

 
$
27.50

 
$
27.270

 
923,634

 
297,568

January 3, 2017
1,529,578

 
$
23.50

 
$
23.475

 
1,086,892

 
472,572

April 19, 2016
1,690,880

 
$
23.00

 
$
22.870

 
1,036,809

 
537,431

April 21, 2015
1,786,440

 
$
21.00

 
$
20.630

 
689,259

 
439,859

April 22, 2014
1,910,000

 
$
28.00

 
$
25.265

 
452,323

 
291,073

April 16, 2013
410,000

 
$
27.00

 
$
24.625

 
63,844

 
45,106

April 17, 2012
2,470,000

 
$
27.00

 
$
24.505

 
181,440

 
181,440

Total
13,104,021

 
 
 
 
 
6,568,808

 
2,319,023


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, 2020
1.7
%

5.00

2.4
%

25.70
%

$
6.81

January 2, 2019
2.5
%
 
5.00
 
2.9
%
 
23.96
%
 
$
4.40

January 2, 2018
2.2
%
 
5.00
 
2.3
%
 
23.45
%
 
$
5.02

January 3, 2017
1.9
%
 
5.00
 
2.6
%
 
24.49
%
 
$
4.20

April 19, 2016
1.3
%
 
5.00
 
2.6
%
 
26.34
%
 
$
4.09

April 21, 2015
1.3
%
 
5.00
 
2.7
%
 
26.84
%
 
$
3.68

April 22, 2014
1.8
%
 
5.00
 
2.0
%
 
28.55
%
 
$
4.79

April 16, 2013
0.7
%
 
5.00
 
1.6
%
 
37.42
%
 
$
6.33

April 17, 2012
0.9
%
 
5.00
 
1.4
%
 
39.25
%
 
$
6.85


All of the options in the tables above vest and become exercisable over a period of up to eight years. Generally, each option will terminate approximately ten years after the grant date.
The fair value of each share-based option is estimated on the date of grant using a Black-Scholes valuation method that uses the assumptions listed above. The risk-free interest rate is based on the U.S. Treasury rate over the expected life of the option at the time of grant. The expected life is the average length of time over which we expect the employee groups will exercise their options, which is based on historical experience with similar grants. The dividend yield is estimated over the expected life of the option based on our current dividend payout, historical dividends paid, and expected future cash dividends. Expected stock volatilities are based on the movement of our stock price over the most recent historical period equivalent to the expected life of the option.
Compensation expense equal to the grant date fair value is recognized for all of these awards over the vesting period. The stock-based compensation expense for the six-month periods ended June 30, 2020 and 2019 was $2.9 and $2.9, respectively. Unrecognized stock-based compensation expense related to outstanding unvested stock options as of June 30, 2020 was $15.1 and is expected to be recognized over a weighted average period of 4.17 years. Any future changes in estimated forfeitures will impact this amount.
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 per share calculation because they were anti-dilutive:
 
Six-month Period
 
Three-month Period
Reconciliation
2020
 
2019
 
2020
 
2019
Basic weighted average shares outstanding
573,550,730

 
572,669,693

 
573,197,303

 
573,159,138

Weighted shares assumed upon exercise of stock options
1,577,540

 
1,105,366

 
1,754,697

 
1,392,211

Diluted weighted average shares outstanding
575,128,270

 
573,775,059

 
574,952,000

 
574,551,349


 
Six-month Period
 
Three-month Period
Summary of Anti-dilutive Options Excluded
2020
 
2019
 
2020
 
2019
Options to purchase shares of common stock
893,428

 
450,960

 
895,566

 

Weighted average exercise prices of options
$
38.00

 
27.53

 
$
38.00

 


Any dilutive impact summarized above related to periods when the average market price of our stock exceeded the exercise price of the potentially dilutive stock options then outstanding.