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You are evaluating a project's value. The relevant discount rate is 10%.
(a) Your first guess is that the project will generate $10 million next year and then die. What is the PV of the project?
(b) Suppose you find out that the $10 million cash flows will be generated forever. What is the new PV of the project?
(c) What if the $10 million of cash flows will only be generated for 15 years? Solve this as the difference between two perpetuities, one beginning in year 1 and one beginning in year 16.
(d) Suppose you find out that the cash flows will be $10 million for 15 years, but then grow at 5% a year from then on. What is the new PV of the project?
(e) Consider the same data as in part (d) but assume the project dies after 30 years. What is the PV of the project?
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