Answer:
To calculate the basic earnings per share (EPS), we need to determine the amount of profit available to ordinary shareholders after preference dividends have been accounted for. The preference dividends are calculated based on the terms of the preference shares. Let's go through each scenario:
a) Non-cumulative and non-redeemable (equity) declared in the year:
Since the preference dividends are declared, we need to subtract them from the profit after tax to find the earnings available to ordinary shareholders. The preference dividend is 10% of the par value of the preference shares.
Preference dividend = 10,000 shares * R2 * 10% = R20,000
Profit available for ordinary shareholders = Profit after tax - Preference dividend
Profit available for ordinary shareholders = R100,000 - R20,000 = R80,000
Basic earnings per ordinary share = Profit available for ordinary shareholders / Number of ordinary shares
Basic earnings per ordinary share = R80,000 / 10,000 = R8 per share
b) Non-cumulative and non-redeemable (equity) NOT declared in the year:
Since the preference dividends are not declared, they are not subtracted from the profit after tax.
Profit available for ordinary shareholders = Profit after tax = R100,000
Basic earnings per ordinary share = Profit available for ordinary shareholders / Number of ordinary shares
Basic earnings per ordinary share = R100,000 / 10,000 = R10 per share
c) Cumulative and redeemable (liabilities) declared in the year:
Again, since the preference dividends are declared, we subtract them from the profit after tax.
Preference dividend = 10,000 shares * R2 * 10% = R20,000
Profit available for ordinary shareholders = Profit after tax - Preference dividend
Profit available for ordinary shareholders = R100,000 - R20,000 = R80,000
Basic earnings per ordinary share = Profit available for ordinary shareholders / Number of ordinary shares
Basic earnings per ordinary share = R80,000 / 10,000 = R8 per share
d) Cumulative and redeemable (liabilities) NOT declared in the year:
Even though the dividends are not declared this year, since the preference shares are cumulative, the dividends accumulate and are considered a liability. Therefore, they are still subtracted from the profit after tax.
Preference dividend = 10,000 shares * R2 * 10% = R20,000
Profit available for ordinary shareholders = Profit after tax - Preference dividend
Profit available for ordinary shareholders = R100,000 - R20,000 = R80,000
Basic earnings per ordinary share = Profit available for ordinary shareholders / Number of ordinary shares
Basic earnings per ordinary share = R80,000 / 10,000 = R8 per share
In summary:
a) R8 per share
b) R10 per share
c) R8 per share
d) R8 per share
Note that in cases c) and d), even though the preference shares are classified as liabilities, the preference dividends are treated similarly to when they are classified as equity for the purpose of calculating basic EPS. The dividends are subtracted from the profit after tax because they are an obligation of the company due to their cumulative nature.
Step-by-step explanation: