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Sagot :
Answer:
$143.40
Explanation:
The dividend for the next year = [tex]\text{ current year dividend} \times (1 + \text{growth})[/tex]
= $ 1.50 x (1 + 0.13)
= 1.50 x 1.30
= $ 1.95
The dividend in the second year = 1.95 x 1.30
= $ 2.54
Similarly, the dividend for the year 9 is = [tex]$1.50 \times (1.30)^9$[/tex]
= $ 15.91
The value of the stock at the end of year 9,
[tex]$=\frac{\text{Dividend of year 10}}{\text{(Required rate of return - Growth rate)}}$[/tex]
[tex]$=\frac{15.91\times1.05}{0.13-0.05}$[/tex]
= $ 208.81
The present value factor [tex]$=\frac{1}{(1+r)^n}$[/tex]
where, r = rate of interest = 13% = 0.13
n = years (1 to 9)
So, the present value factor for the 2nd year is [tex]$=\frac{1}{(1+0.13)^2}$[/tex]
[tex]$=\frac{1}{(1.13)^2}$[/tex]
[tex]$=\frac{1}{1.2769}$[/tex]
= 0.783147
Therefore, the price of the stock today is calculated as to be $ 143.40
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