When Dan signed a two$-$year contract as a manager, the company allowed reimbursement of $$390$ at the end of every month for his car expenses. At the time the contract was signed, money was worth $10\mathrm{.}07\%$ compounded monthly.

$($a$)$ What value did the expense reimbursement provision have when the contract was signed?

$($b$)$ What is the outstanding value of the reimbursement after the $20$th payment?

$($a$)$ The value was $

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