Question

A shoe store is for sale for $2,000,000. It is estimated that the restaurant will earn $200,000 a year for the next 11 years. At the end of 11 years, it is estimated that the restaurant will sell for $3,500,000. What would be most likely to occur if the investor's required rate of return is 15%?

Answer 1

The NPV is -$200956.3508. Thus, the shop will not be purchased as the NPV from this investment is negative.

Step-by-step explanation:

To take the decision to buy or not buy the shoe store, we need to calculate the Net Present Value of the investment in the shoe shop. The net present value (NPV) is the present value of future expected cash inflows from the investment less the initial outlay/cost.

If the NPV is positive, the investment will be done and shop will be purchased and vice versa.

As the cash in flows consist of an annuity of 200000 for 11 years along with a principal sale value, the NPV will be,

NPV = PV of Annuity + PV of Principal - Initial cost

NPV = 200000 * [ (1 - (1+0.15)^-11) / 0.15 ] + 3500000 / 1.15^11 - 2000000

NPV = -$200956.3508

The shop will not be purchased as the NPV from this investment is negative.