Assume a major investment service has just given Oasis Electronics its highest investment rating, along with a strong buy recommendation. As a result, you decide to take a look for yourself and to place a value on the company's stock. Here's what you find: This year, Oasis paid its stockholders an annual dividend of

$2.55

a share, but because of its high rate of growth in earnings, its dividends are expected to grow at the rate of
12 %
a year for the next 4 years and then to level out at
9 %
a year. So far, you've learned that the stock has a beta of
1.64 ,
the risk-free rate of return is
5 %,
and the expected return on the market is
11 %.
Using the CAPM to find the required rate of return, put a value on this stock.

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

Ke0.14840

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

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