Stockholders' Equity | (3) Stockholders' Equity Dividends On July 10, 2019 , our board of directors declared a dividend of $0.22 per share of common stock to be paid in cash on August 22, 2019 to shareholders of record at the close of business on July 25, 2019 . Since 2011, we have paid quarterly dividends. Our board of directors 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: 2019 2018 First quarter $ 0.215 0.185 Second quarter 0.215 0.185 Third quarter 0.220 0.200 Fourth quarter 0.200 Total $ 0.650 0.770 Stock Options The following tables summarize the details of options granted under our stock option plans that were still outstanding as of June 30, 2019 , 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, 2019 Date of Grant Options Outstanding Options Exercisable January 2, 2019 1,316,924 $ 26.00 $ 25.705 1,303,670 29,010 January 2, 2018 1,087,936 $ 27.50 $ 27.270 1,033,248 42,370 January 3, 2017 1,529,578 $ 23.50 $ 23.475 1,247,616 371,622 April 19, 2016 1,690,880 $ 23.00 $ 22.870 1,286,260 327,170 April 21, 2015 1,786,440 $ 21.00 $ 20.630 975,939 463,383 April 22, 2014 1,910,000 $ 28.00 $ 25.265 743,716 494,356 April 16, 2013 410,000 $ 27.00 $ 24.625 118,094 76,844 April 17, 2012 2,470,000 $ 27.00 $ 24.505 872,358 764,306 April 19, 2011 820,000 $ 17.50 $ 15.890 56,300 56,300 Total 13,021,758 7,637,201 2,625,361 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, 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 April 19, 2011 2.1 % 5.00 1.6 % 39.33 % $ 5.60 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 nine 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, 2019 and 2018 was $2.9 and $2.5 , respectively. Unrecognized stock-based compensation expense related to outstanding unvested stock options as of June 30, 2019 was $15.7 and is expected to be recognized over a weighted average period of 4.12 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 2019 2018 2019 2018 Basic weighted average shares outstanding 572,669,693 574,783,228 573,159,138 574,280,852 Weighted shares assumed upon exercise of stock options 1,105,366 335,708 1,392,211 234,122 Diluted weighted average shares outstanding 573,775,059 575,118,936 574,551,349 574,514,974 Six-month Period Three-month Period Summary of Anti-dilutive Options Excluded 2019 2018 2019 2018 Options to purchase shares of common stock 450,960 5,581,260 — 6,113,644 Weighted average exercise prices of options $ 27.53 26.43 $ — 26.09 |