Suppose you take out a $30-$year mortgage for a house that costs $$460,356.$ Assume the following:

The annual interest rate on the mortgage is $3\mathrm{.}8\%.$

The bank requires a minimum down payment of $11\%$ 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 $0\mathrm{.}7\%$ of the cost of the house.

There is no PMI

If you make the minimum down payment, what will your monthly PITI be$?$

Round your answer to the nearest dollar.