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Purcahsing Apartment Complex Real Cash Flows

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You are considering the purchase of an apartment complex that currently generates a net cash flow of $500,000 per year. You normally demand a 10% rate of return on such investments. Future cash flows are expected to grow with inflation at 4% per year from today’s level.

(a) How much would you be willing to pay for the complex if it:
(i) Will produce cash flows forever?
(ii) Will have to be torn down in 20 years? Assume that the site will be worth $5 million at that time net of demolition costs (the $5 million includes 20 years’ inflation).

(b) Calculate the real discount rate corresponding to the 10% nominal rate. Redo the calculation for parts (i) and (ii) using real cash flows. (Hint: your answers should be the same)
Solution
Cash flows to perpetuity, cash flows for 20 years are computed at the given rate. Real interest rate is also computed and the same values are calculated for the new interest rate obtained.
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