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 — |