You are considering buying a house with a $30-$year amortized mortgage loan. The value of the house is $$550,000,$ and the interest rate for a $30-$year mortgage loan is $7\mathrm{.}5\%,$ based on your FICO score. If you decide to buy the house with a $$50,000$ down payment, what would be your interest payment in the first month?

$$3,496\mathrm{.}07$

$$3,125\mathrm{.}00$

$$3,800\mathrm{.}16$