You are considering buying a house with a $30-$year amortized mortgage loan. The value of the house is $$650,000,$ and the interest rate for a $30-$year mortgage loan is $6\mathrm{.}5\%,$ based on your FICO score. If you decide to buy the house with a $$25,000$ down payment, what would be the repayment of principal in the third month?

$$571\mathrm{.}15$

$$565\mathrm{.}01$

$$568\mathrm{.}07$