Question

A family currently live in an apartment whose monthly rent is $950. They are thinking of buying a house which would cost $220,000. They plan to live in this house for 5 years and sell it at the end of the 5th year. They would put a downpayment of $20,000 and finance the balance through a mortgage at 3.5% interest rate. The mortgage is to be repaid in 5 annual installments (which include both principal and interest) at the end of each year for the next 5 years The house will have the following additional expenses: annual maintenance: $1500; Property taxes:$5500; Insurance: $1200. Assume they are in tax bracket of 20% and the price of home, rent and expenditure increases by 2.5% per year. Their opportunity cost or required rate of return is 5% per year. Note that property taxes are tax deductible and there no tax payable on capital gains. Use annual compounding for amortization schedule of mortgage.

Calculate the expected house price at the end of year 5.

		$278,252
		$248,222
		$248,910
		$248,021

Answer 1

Correct answer: $248,910

Current Price of House = $220,000

Annual growth rate of House price = 2.5%

Years = 5

House Price at end of Year 5:

= 220,000 *(1+0.025)

= 248909.806835937

= $248.910

Hope it will help, please do comment if you need any further explanation. Your feedback would be highly appreciated.