Answer:
$10.14
Explanation:
We need to first find the perpetual stock's worth after 3 years.
The formula would be:
[tex]P=\frac{D}{r}[/tex]
Where
P is price of stock
D is the indefinite dividend worth
r is the rate of return you want
So, it will be:
[tex]P_3=\frac{1.25}{0.108}=11.57[/tex]
Now, we want the stock's worth (in total) for the scenario:
The formula would be:
[tex]P=\sum (\frac{D}{(1+r)^t} +\frac{D+P_3}{(1+r)^t}[/tex]
So, we take individual 3 years, remembering to add the P_3 to the last year (Year 3).
So, we have:
[tex]P=\frac{0.45}{1+0.108^1}+\frac{0.6}{(1+0.108)^2}+\frac{1+11.57}{(1+0.108)^3}=10.14[/tex]
The stock is worth $10.14