Given the additional information below, calculate Mr$.$ Ben$$s affordable house price and help him decide whether he should buy a house or keep renting.

Regardless of whether buying a house is recommended or not, further analyse whether he should use a $20-$ or $25-(6\mathrm{.}1\%$ and $6\mathrm{.}5\%$ p$.$a$.,$ respectively$)$ year mortgage to buy a house.

$->$ Mr$.$Ben has an annual salary of $$204,000.$

$->$ Mr$.$ Ben currently has no debts.

$->$ He would like to buy his dream bach for $$1\mathrm{.}5$M$.$

$->$ A similar bach is up for rent down the hill at $$6,000$ per month.

$->$ If he buys this house he will have to pay the annual rates of $$6,000,$ house insurance

of $$3,000$ and maintenance of $$17,500$ every year.

$->$ He has saved up $$275,000$ for his house purchase.

$->$ House prices in the area are expected to increase by $5\mathrm{.}0\%$ per annum and rental prices will increase with general inflation. $($Hint: General inflation can be expected to be in the middle of the RBNZ target$).$ Put all the input details to excel and include the recommendation for Mr$.$Ben

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