Question

In: Finance

Assuming all the following firms have a required return of 9 percent, which would you expect...

Assuming all the following firms have a required return of 9 percent, which would you expect to have a positive present value of growth opportunities?

A) A firm with a P/E ratio of 8

B) A firm with a P/E ratio of 13

C) A firm with an E/P ratio of .10

D) A firm with an E/P ratio of .20

E) None of the answers are correct

Solutions

Expert Solution

Solution:
Required Rate of Return : 9%
We know that Cost of Equity : 1/PE ratio
Calculation of Cost of Equity :
- A firm with P/E ratio : 8, hence Cost of Equity : 1/ 8 = 0.13 or 13%
- A firm with P/E ratio : 13, hence Cost of Equity : 1/13 = 0.08 or 8%
- A firm with E/P ratio : 0.10, hence Cost of Equity : 0.10 or 10%
- A firm with E/P ratio : 0.20, hence Cost of Equity : 0.20 or 20%
We know that , for a growing firm it is necessary to have its required rate of return
higher that its cost of equity.
In all the provided options firm with the P/E Ratio 13 will have Cost of Equity = 8%
and it is less than the Reuired Rate of return of 9%, in compare to other options
Hence, Option B is correct

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