The equity shares of a firm in the current stock market has been traded at Rs60 per share. The price earnings ratio is 10 times. The Dividend payout ratio is 75%. The total number of shares issued and outstanding as on date are 100000 equity shares of Rs10 each. Book value of each share is Rs40 Describe and Compute - Earnings per share, return on equity.
Earning per share is the company's profit divided by the company's outstanding shares.
"EPS = \\frac{Net profit}{Outstanding shares}"
where "EPS -" is the earnings per share
The price earnings ratio "\\frac{P}{E}= \\frac{Share price}{Earnings per share}"
To determine EPS
"\\frac{P}{E} is provided = 10"
Share price "= 60"
Therefore EPS "= \\frac{share price}{Price earning ratio}"
"EPS =\\frac {60}{10} = 6"
RETURN ON EQUITY
Return on equity shows investors how efficiently a company is handling the investors' money.
Return on Equity ROE "= \\frac{Net Income}{Shareholders Equity}"
To determine ROE
Dividend Payout Ratio "= \\frac{Total Dividend}{Net income}"
but Dividend payout ratio "= 75\\%"
Total dividend = "= Total equity * earning per share"
Total divided "= 100,000 * 6 = 600,000"
Therefore "\\therefore"
Net income "= \\frac{Total divided}{Divided payout ratio}"
Net income "= \\frac{600000}{75\\%} = 450,000"
Shareholders equity "=Total number of shares * book value of each share"
Shareholders equity "= 100,000 * 40 = 4,000,000"
"\\therefore"
"ROE = \\frac{450,000}{4000,000} *100 = 11.25\\%"
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