Question

The required investment cost of a​ new, large shopping center is ​$49 million. The salvage value of the project is estimated to be ​$20 million​ (the value of the​ land). The​ project's life is 15 years and the annual operating expenses are estimated to be ​$14 million. The MARR for such projects is 15​% per year. What must the minimum annual revenue be to make the shopping center a worthwhile​ venture?

Answer 1

Answer:

The minimum annual revenue is 22.38 million.

Explanation:

Let the minimum annual revenue = X

Therefore,

The present value of cash inflows = Present value of cash outflows

X (P/A,15%,15) + 20 (P/F,15%,15)= 49*1 + 14(P/A,15%,15)

Now look into the annuity table or compound interest factor table and use that values to solve the equation.

X(5.847) + 20 (0.1229) = 49 + 14 (5.847)

X(5.847) = 130.858

X = 130.858 / 5.847

X = 22.38 millions

The minimum annual revenue = 22.38 million.