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Sagot :
Answer:
The correct solution is "$6,564.01". A further solution is given below.
Explanation:
The given values are:
beta,
= 1.6
market return,
= 15%
cash flow,
= $2,000
risk free rate of interest,
= 3%
Now,
The stock return will be:
= [tex]3+ 1.6\times (15-3)[/tex]
= [tex]3+ 1.6\times 12[/tex]
= [tex]22.2 \ percent[/tex]
The actual worth of the firm will be:
= [tex]\frac{cash \ flow}{rate \ of \ return}[/tex]
= [tex]\frac{2000}{22.2 \ percent}[/tex]
= [tex]\frac{2000}{0.222}[/tex]
= [tex]9,009[/tex]
With 0.8 beta, the stock return will be:
= [tex]3+ 0.8\times (15-3)[/tex]
= [tex]3+ 0.8\times 12[/tex]
= [tex]12.6 \ percent[/tex]
So that I'm paying for the firm,
= [tex]\frac{2000}{12.6 \ percent}[/tex]
= [tex]\frac{2000}{0.126}[/tex]
= [tex]15,573.01[/tex] ($)
Hence,
I'm paying,
= [tex]15,573.01-9,009[/tex]
= [tex]6,564.01[/tex] ($)
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