In: Finance
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 $________
Sustainable growth rate is calculated as ROE*(1-dividend payout
ratio)
=>1-Dividend payout ratio=Sustainable growth rate/ROE
=>Dividend payout ratio=1-Sustainable growth rate/ROE
Given that,
Sustainable growth rate=9%
Return of equity or ROE=17%
So, dividend payout ratio=1-9%/17%=1-0.529411765=0.470588235 or
47.06% (Rounded up to 2 decimal places)
Now, dividend payout ratio is equal to dividend per
share/earnings per share.
=>Earnings per share = Dividend per share / Dividend payout
ratio
Given that, dividends per share=$1.55
Substituting the values in the above equation we get:
Earnings per share=$1.55/0.470588235=$3.293750002
Price to earnings ratio (PE ratio) is calculated as (price per
share)/(earnings per share).
=>Price per share = earnings per share * PE ratio
Earnings per share=$3.293750002
Given that the P/E ratio=15.5
Price per share =$3.293750002*15.5=$51.05312503 or $51.05 (Rounded
up to 2 decimal places)