You are evaluating the potential purchase of a small business with no debt or preferred stock that is currently generating​$42,200of free cash flow​(FCF 0 ​=​$42, 200​).On the basis of a review of​ similar-risk investment​ opportunites, you must earn​ a(n)18​%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 of7​%from now to​ infinity? c. What is the​ firm's value if cash flows are expected to grow at an annual rate of12​%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
Section: Chapter Questions
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You are evaluating the potential purchase of a small business with no debt or preferred stock that is currently generating​$42,200of free cash flow​(FCF 0

​=​$42, 200​).On the basis of a review of​ similar-risk investment​ opportunites, you must earn​ a(n)18​%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 of7​%from now to​ infinity?
c. What is the​ firm's value if cash flows are expected to grow at an annual rate of12​%for the first 2​ years, followed by a constant annual rate of
7​%from year 3 to​ infinity?
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