Answer: <u><em>Current stock price (
) = $ 51.71</em></u>
Explanation:
First we'll calculate the dividends for the next 5 years and the respective Terminal value in
year .
i.e. ,
= $ 2.30
=
(1 +
)
= $ 2.30 × ( 1 + 0%) = $ 2.30
=
(1 +
)
= $ 2.30 × ( 1 + 3%) = $ 2.36
=
(1 +
)
= $ 2.36 × ( 1 + 3%) = $ 2.43
=
(1 +
)
= $ 2.43 × ( 1 + 16%) = $ 2.819
=
(1 +
)
= $ 2.819 × ( 1 + 11%) = $ 3.129
∵ The growth rate after
year = 11%
Required rate of return (r) = 15%
∴ Terminal value (
) = 
Terminal value (
) = 
Terminal value (
) = $ 86.85
Now, we'll compute the price per share :
Current stock price (
) = ![\left [ \frac{D_{1}}{(1 + r)^{n}} + \frac{D_{2}}{(1 + r)^{n}} +\frac{D_{3}}{(1 + r)^{n}} + \frac{D_{4}}{(1 + r)^{n}} + \frac{D_{5}}{(1 + r)^{n}} + \frac{P_{5}}{(1 + r)^{n}}\right ]](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cfrac%7BD_%7B1%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%20%2B%20%5Cfrac%7BD_%7B2%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%20%2B%5Cfrac%7BD_%7B3%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%20%2B%20%5Cfrac%7BD_%7B4%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%20%2B%20%5Cfrac%7BD_%7B5%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%20%2B%20%5Cfrac%7BP_%7B5%7D%7D%7B%281%20%2B%20r%29%5E%7Bn%7D%7D%5Cright%20%5D)
where;
n = respective years
r = required rate of return
∴ Current stock price (
) = ![\left [ \frac{2.30}{(1 + 0.15)^{1}} + \frac{2.36}{(1 + 0.15)^{2}} +\frac{2.43}{(1 + 0.15)^{3}} + \frac{2.819}{(1 + 0.15)^{4}} + \frac{3.129}{(1 + 0.15)^{5}} + \frac{86.85}{(1 + 0.15)^{5}}\right ]](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cfrac%7B2.30%7D%7B%281%20%2B%200.15%29%5E%7B1%7D%7D%20%2B%20%5Cfrac%7B2.36%7D%7B%281%20%2B%200.15%29%5E%7B2%7D%7D%20%2B%5Cfrac%7B2.43%7D%7B%281%20%2B%200.15%29%5E%7B3%7D%7D%20%2B%20%5Cfrac%7B2.819%7D%7B%281%20%2B%200.15%29%5E%7B4%7D%7D%20%2B%20%5Cfrac%7B3.129%7D%7B%281%20%2B%200.15%29%5E%7B5%7D%7D%20%2B%20%5Cfrac%7B86.85%7D%7B%281%20%2B%200.15%29%5E%7B5%7D%7D%5Cright%20%5D)
Current stock price (
) = ( 2 + 1.78 + 1.59 + 1.611 + 1.55 + 43.18)
<u><em>Current stock price (
) = $ 51.71</em></u>