An assignable loan contract executed $3$ months ago requires two payments of $$3,000$ plus interest at $9\%$ from the date of the contract, to be paid $4$ and $8$ months after the contract date. The payee is offering to sell the contract to a finance company in order to raise urgently needed cash.

If the finance company requires a$($n$)16\%$ rate of return, what price will it be prepared to pay today for the contract? $($Do not round the intermediate calculations. Round your answer to $2$ decimal places.$)$

Price $