Dan is contemplating trading in his car for a new one. He can afford a monthly payment of at most $$500.$ If the prevailing interest rate is $3\mathrm{.}8\%/$year compounded monthly for a $48-$month loan, what is the most expensive car that Dan can afford, assuming that he will receive $$6000$ for his trade$-$in$?($Round your answer to the nearest cent.$)$