Five years ago Liliana took out a $30$ year $5/1$ Hybrid ARM loan with monthly payments. The initial rate on this loan is $3\%$ and it resets to LIBOR plus a margin of $160$bps$.$ Suppose the remaining balance after five years of payments is $$228275$ and the LIBOR rate at the first reset is $3\%.$ What will be Liliana's new monthly payment during $6$th year of the loan? Express your answer as a number rounded to the nearest cent $($e$.$g$.$ if you find that the payment is $$600\mathrm{.}0697,$ then write $600\mathrm{.}07).$