Question

You can buy property today for $3 million and sell it in 5 years for $4 million. (You earn no rental income on the property.) (LO5-2) a. If the interest rate is 8%, what is the present value of the sales price? b. Is the property investment attractive to you? c. Would your answer to part (b) change if you also could earn $200,000 per-year rent on the property? The rent is paid at the end of each year.

Answer 1

Answer:

a) Present Value of sales = $2,722,332.78

b) Property is not attractive. NPV$ (277,667.21)

c) Property is attractive. NPV-$520,874.79

Explanation:

The present value of the property

PV = S×  (1+r)^(-n)

S- Sales value

r- interest rate -8%

n- number of years

PV - present value

PV = 4,000,000× 1.08^(-5) = $2,722,332.78

b.  Is the property investment attractive to you?

We calculated the PV of the investment as follows

NPV = PV of sales value - initial cost

= 2,722,332.78 - 3,000,000=$ (277,667.21)

The property investment is not attractive because it will produce a loss in capital i.e negative NPV

C

To determine we will calculate the NPV again with considering the additional rental income

PV of annual rent = 200,000 ×  (1-1.08^(-5))/0.08= 798,542.00

NPV = 798,542.00  + 277,667.2119  - 3,000,000 =520,874.79

The property is attractive as it produces positive NPV