Brad and Sam take a $30-$year mortgage for a house that costs $$100,796.$ Assume the following:

The annual interest rate on the mortgage is $3\mathrm{.}5\%.$

The bank requires a minimum down payment of $13\%$ of the cost of the house.

The annual property tax is $1\mathrm{.}2\%$ of the cost of the house.

The annual homeowner's insurance is $$953.$

There is no PMI.

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

Round your answer to the nearest dollar.