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A real estate developer seeks to determine the most economical height for a new office building. The building will be sold after 5 years. The

A real estate developer seeks to determine the most economical height for a new office building. The building will be sold after 5 years. The relevant net annual revenues and salvage values are as follows:

Height

2 Floors

3 Floors

4 Floors

5 Floors

First cost

(net after-tax)

$500,000

$750,000

$1,250,000

$2,000,000

Lease

revenue

199,100

169,200

149,200

378,150

Net resale value

(after-tax)

600,000

900,000

2,000,000

3,000,000

(a) The developer is uncertain about the interest rate (i) to use, but is certain that it is in the range of 5% to 30%. For each building height, find the range of values of i for which that building height is the most economical. (b) Suppose that the developers interest rate is known to be 15%. What would be the cost, in terms of net present value, of an error in overestimation in resale value (the true value resulted in a value 10% lower than that of the original estimate)?

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