You are buying a new vehicle for $$30,700.$ You will make a down payment of $$3,600.$ The remainder of the cost will be financed over a period of $5$ years. You will repay the loan by making equal monthly payments. Your quoted annual interest rate is $6\%$ with monthly compounding of interest. $($The first payment will be due one month after the purchase date.$)$ What will your monthly payment be$?$

A$.$

$ $574\mathrm{.}36$

B$.$

$ $523\mathrm{.}92$

C$.$

$ $593\mathrm{.}52$

D$.$

$ $503\mathrm{.}57$