Suppose you take out a $30-$year mortgage for a house that costs $$406,693.$ Assume the following:The annual interest rate on the mortgage is $3\mathrm{.}1\%.$The bank requires a minimum down payment of $16\%$ at the time of the loan.The annual property tax is $2\mathrm{.}4\%$ of the cost of the house.The annual homeowner's insurance is $0\mathrm{.}9\%$ of the cost of the house.There is no PMIIf you make the minimum down payment, what will your monthly PITI be$?$