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 $5$th year. They would put a downpayment of $$20,000$ and finance the balance through a mortgage at $3\mathrm{.}5\%$ interest rate. The mortgage is to be repaid in $5$ annual installments $($which include both principal and interest$)$ at the end of each year for the next $5$ years The house will have the following additional expenses: annual maintenance: $$1500$; Property taxes:$$5500$; Insurance: $$1200.$ Assume they are in tax bracket of $20\%$ and the price of home, rent and expenditure increases by $2\mathrm{.}5\%$ 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.

Should they buy this house or continue to rent?

Group of answer choices

Buy since IRR is $5\mathrm{.}51\%$

Rent since IRR is $4\mathrm{.}16\%$

Buy since IRR is $6\mathrm{.}28\%$

Buy since IRR is $5\mathrm{.}47\%$