When Dan signed a three$-$year contract as a$$ manager, the company allowed reimbursement of $$$$560$ at the end of every month for his car expenses. At the time the contract was$$ signed, money was worth $9\mathrm{.}14\%$ 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 $27$th $$payment$?$