Answer:
Share price : $ 56.23
Explanation:
CAPM
risk free = 0.05
market rate = 0.11
premium market = (market rate - risk free) 0.06
beta(non diversifiable risk) = 1.64
Ke 0.14840
Now, we solve for the present value of the future dividends:
year dividend* present value**
1 2.91 2.53
2 3.31 2.51
3 3.78 2.49
4 4.31 2.48
4 80.38 46.22
TOTAL 56.23
*Dividends will be calculate as the previous year dividends tiems the grow rate
during the first four year is 14%
then, we calcualte the present value of all the future dividends growing at 9% using the dividend grow model:
(4.31 x 1.09) / (0.1484 - 0.09) = 80.38
Then we discount eahc using the present value of a lump sum:
We discount using the CAPM COst of Capital of 14.84%
last we add them all to get the share price: $ 56.23