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One company had 25,000 common shares outstanding during all of 2020. It also had 10,000 cumulative...

One company had 25,000 common shares outstanding during all of 2020. It also had 10,000 cumulative preferred shares, issued in 2018 and crediting an annual dividend of $ 5 per share. The company did NOT declare a dividend in 2018, 2019 and 2020. There are also convertible bonds in circulation issued in 2019 whose interest expense for 2020 was $ 60,000. The bonds are convertible into 15,000 common shares. As of December 31, 2020, no bonds had been converted. The net income for 2020 was $ 150,000 and the tax rate is 25%.
Determine basic and diluted earnings per share for the year 2020.

Solutions

Expert Solution

Particulars Working Basic EPS Diluted EPS
Amount $ Amount $
Net Income After Tax              150,000                    150,000
Preferred Dividend 10000*5*3              (50,000)                              -  
After-tax cost of interest of Bonds (+60000)*75%                       -                        45,000
Numerator              100,000                    195,000
Number of common shares outstanding                25,000                      25,000
Cumulative Preferred shares                       -                        10,000
Additional shares issued if bonds are converted                       -                        15,000
Denominator                25,000                      50,000
EPS Numerator/Denominator                  4.00                        3.90

Note : Cumulative Preference Dividend : Earlier year preference dividend has to be adjusted from earlier years profit. i.e it has been already adjusted in previous years.


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