Consider a $2-$year, fixed rate mortgage with an original balance of $$33,000$ and an interest rate of $5\mathrm{.}2\%.$ Suppose right after the month $8$ payment has been made, the interest rate declines by $2\%.$ What would be the new monthly payment if the home$-$owner were to refinance with a new $2-$year loan at the new rate?

Round your answer to $2$ decimal places $($nearest cent$).$