A stock’s dividend is expected to be $2.55 next year and is expected to grow at a constant rate per year indefinitely. Its Beta is 1. The risk-free rate is estimated to be 6%, and the Market Risk Premium is expected to be 6%. If the stock’s current price is $58, the annual growth rate in dividends is assumed to be ______%
Answer: annual growth rate in dividends is assumed to be _7.60__%
Working notes for the above answer is as under
We have been provided with the information ,that
A stock’s dividend is expected to be $2.55 next year
expected to grow at a constant rate per year indefinitely.
Its Beta is 1.
B =1
The risk-free rate is estimated to be 6%,
Rf = 0.06
and the Market Risk Premium is expected to be 6%.
(RM-RF)=0.06
If the stock’s current price is $58
Now we put all this figure in to the CAPM formulla as follow
E(ri) = Rf +B (Rm-Rf)
E(ri) =0.06 +1 ( 0.06)
E(ri) =0.06+0.06
E(ri) =0.12
E(ri)=12%
Now Formulla of current price of the share is as follow
P0 = D1 / (Er-g)
58 =2.55 /( 0.12 -g)
Solving this equation we will get
g =0.076034
g=7.60 %