Angelina's made two announcements concerning its common stock today. First, the company announced that its next annual dividend, which will be paid a year from today, has been set at $2.16 a share. Secondly, the company announced that all future dividends will increase by 4% annually. Angelina's stock has a beta of 1.15, the risk free rate is 1.95%, and the expected return on the market is 8.95%. What should the current price of Angelina's stock be?
$21.60
$22.46
$26.21
$34.62
$36.00
ANSWER :
Given :
D1 = 2.16 ($)
g = 4 % = 0.04
rF = 1.95%
rM = 8.95%
Beta, b = 1.15
As per CAPM :
Required rate of return, r = rF + b(rM - rF) = 1.95 + 1.15(8.95-1.95)
= 10% = 0.1
Now, as per DDM at constant growth :
Current price
= D1 / (r - g)
= 2.16/ (0.1 - 0.04)
= 36.00 ($)
Current price = 36.00 ($) (ANSWER)
The required rate of return as per CAPM:_
=rf rate+beta*risk premium
=1.95%+1.15*(8.95%-1.95%)
=10%
Current price:-
=Dividend/r-g
=2.16/(10%-4%)
=36
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