Joker stock has a sustainable growth rate of 9 percent, ROE of 17 percent, and dividends per share of $1.55. If the P/E ratio is 15.5, what is the value of a share of stock? (Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "$" sign in your response.)
Share of stock $________
Step-1, Calculation of the Retention Ratio
Sustainable Growth Rate = ROE x Retention ratio
0.09 = 0.17 x Retention Ratio
Retention Ratio = 0.09 / 0.17
Retention ratio = 0.5294 or 52.94%
Step-2, Calculation of the Dividend Payout Ratio
Dividend Payout Ratio = 1 – Retention Ratio
= 1 – 0.5294
= 0.4706 or 47.06%
Step-3, Calculation of the Earnings Per Share (EPS)
Dividend Payout Ratio = Dividend per share / Earnings Per Share
0.4706 = $1.55 / Earnings Per Share
Earnings Per Share = $1.55 / 0.4706
Earnings Per Share = $3.2937 per share
Step-4, Calculation of the Price of the Stock
The Value of a Stock = Earnings per share x P/E Ratio
= $3.2937 per share x 15.5 Times
= $51.05 per share
“Hence, the Value of a Stock would be $51.05”
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