ou are evaluating the potential purchase of a small business with no debt or preferred stock that is currently generating $42,500 of free cash flow (FCF0​= $42,500​). On the basis of a review of​ similar-risk investment​ opportunities, you must earn​ a(n) 16​% rate of return on the proposed purchase. Because you are relatively uncertain about future cash​ flows, you decide to estimate the​ firm's value using several possible assumptions about the growth rate of cash flows.   a. What is the​ firm's value if cash flows are expected to grow at an annual rate of​ 0% from now to​ infinity? b. What is the​ firm's value if cash flows are expected to grow at a constant annual rate of 7​%from now to​ infinity? c. What is the​ firm's value if cash flows are expected to grow at an annual rate of 12​% for the first 2​ years, followed by a constant annual rate of 7​% from year 3 to​ infinity?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Free cash flow valuation  You are evaluating the potential purchase of a small business with no debt or preferred stock that is currently generating $42,500 of free cash flow (FCF0​= $42,500​).

On the basis of a review of​ similar-risk investment​ opportunities, you must earn​ a(n) 16​%

rate of return on the proposed purchase. Because you are relatively uncertain about future cash​ flows, you decide to estimate the​ firm's value using several possible assumptions about the growth rate of cash flows.

 

a. What is the​ firm's value if cash flows are expected to grow at an annual rate of​ 0% from now to​ infinity?

b. What is the​ firm's value if cash flows are expected to grow at a constant annual rate of 7​%from now to​ infinity?

c. What is the​ firm's value if cash flows are expected to grow at an annual rate of 12​% for the first 2​ years, followed by a constant annual rate of 7​% from year 3 to​ infinity?

Expert Solution
Step 1

The discounted cash flow approach will be used and applied here.

As per the discounted cash flow approach value of a company is the present value of all its future cash flows.

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