Brad and Sam take a $30-$year mortgage for a house that costs $$268,233.$ Assume the following:

The annual interest rate on the mortgage is $4\mathrm{.}4\%.$

The bank requires a minimum down payment of $11\%$ of the cost of the house.

The annual property tax is $1\mathrm{.}5\%$ of the cost of the house.

The annual homeowner's insurance is $$857.$

There is no PMI.

If they make the minimum down payment, what will their monthly PITI be$?$