Answer:
Number of shares to be used in calculating 2017 basic earnings per share = = 7,000,000 hares
Number of shares to be used in calculating 2017 diluted earnings per share = 7,125,000 shares
Step-by-step explanation:
Number common shares outstanding at December 31, 2016 = 6,000,000
Number of additional common shares issued on April 1, 2017 relevant to 2017 = Number of shares issued * (Number of months from 01 April 2017 to 31 December 2017 / Number of months in a year) = 1,000,000 * (9 / 12) = 750,000
Number of additional common shares issued on July 1, 2017 relevant to 2017 = Number of shares issued * (Number of months from 01 July 2017 to 31 December 2017 / Number of months in a year) = 500,000 * (6 / 12) = 250,000
Number of common shares from convertible bonds issued on October 1, 2017 relevant to 2017 = Number of convertible bonds issued * (Number of months from 01 October 2017 to 31 December 2017 / Number of months in a year) * Number of shares the bond can be converted to = 25,000 * (3 / 12) * 20 = 125,000
Therefore, we have:
Number of shares to be used in calculating 2017 basic earnings per share = Number common shares outstanding at December 31, 2016 + Number of additional common shares issued on April 1, 2017 relevant to 2017 + Number of additional common shares issued on July 1, 2017 relevant to 2017 = 6,000,000 + 750,000 + 250,000 = 7,000,000 hares
Number of shares to be used in calculating 2017 diluted earnings per share = Number of shares to be used in calculating 2017 basic earnings per share + Number of common shares from convertible bonds issued on October 1, 2017 relevant to 2017 = 7,000,000 + 125,000 = 7,125,000 shares