At December 31, 2016, Marion Inc. had 6,000,000 common shares outstanding. An additional 1,000,000 common shares were issued on April 1, 2017, and 500,000 more on July 1, 2017. On October 1, 2017, Marion issued 25,000, $1,000 par value, 8% convertible bonds. Each bond is convertible into 20 common shares. No bonds were converted in 2017. What is the number of shares to be used in calculating 2017 basic earnings per share and diluted earnings per share, respectively

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

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