CONSTANT GROWTH VALUATION
Holtzman Clothiers's stock currently sells for $21 a share. It just paid a dividend of $3.75 a share (i.e., D0= $3.75). The dividend is expected to grow at a constant rate of 5% a year.
What stock price is expected 1 year from now? Round your answer
to two decimal places.
$
What is the required rate of return? Round your answer to two
decimal places. Do not round your intermediate calculations.
%
Solution: | |||
Stock price expected in 1 year (P1) | $22.05 | ||
Required rate of return(Ks) | 23.75% | ||
Working Notes: | |||
Stock price expected in 1 year (P1) = P0 x (1+g) | |||
P1= $21 x (1+0.05) | |||
P1= $22.05 | |||
Using Gordon growth model : P0 = D1 / (Ks - g), where D1 = D0(1+g) | |||
Required rate of return (Ks)=?? | |||
Po=current share price = $21 per share | |||
g= growth rate= 5 % | |||
D0= Current Dividend=$3.75 per share | |||
P0 = D0(1+g)/(Ks -g) | |||
Ks= D0(1+g)/P0 + g | |||
Ks= 3.75(1+0.05)/21 + 0.05 | |||
Ks= 0.1875 + 0.05 | |||
Ks= 0.2375 | |||
Ks= 23.75% | |||
Please feel free to ask if anything about above solution in comment section of the question. |
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