You want to purchase a new car in $4$ years and expect the car to cost $$87,000.$ Your bank offers a plan with a guaranteed APR of $5\mathrm{.}5\%$ if you make regular monthly deposits. How much should you deposit each month to end up with $$87,000$ in $4$ years?

You should invest $ each month.

$($Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as needed.$)$