Question

A home comparable to yours in your neighborhood sold last week for $75,000. Your home has a $60,000 assumable 8% mortgage (compounded annually) with 30 years remaining. An assumable mortgage is one that the new buyer can assume on the old terms, continuing to make payments at the original interest rate. The house that recently sold did not have an assumable mortgage; that is, the buyers had to finance the house at the current market rate of interest, which is 7.5%. What selling price should you place on your home? Explain using capital budgeting calculations.

Answer 1

Answer:

The selling price should be $66K.

Explanation:

Capital Budgeting defines the future value as present value times the interest rate over the years FV=(1+i)^n, the following table shows both future values for Neighbor’s house and mine to calculate the differences.

Future value (FV) = Present value (PV) + (1 + Interest rate)n, where n is raised to the power of the number of years.

FV = PV +p (1+r) -30

PV = 60000

= $60000 (1+0.075) - 30

= $60000 (0.11422)

= $6859.26 + $60000

= $66853.26 .

Given this estimate, my selling price will now be $66K, making a profit of $5K, this way the future seller can either choose to buy my home or any other in the neighborhood since the future value will be the same even though the interest rate is 0.5% higher.