A loan payment of $$1500\mathrm{.}00$ was due $30$ days ago and another payment of $$800\mathrm{.}00$ is due $50$ days from now. What single payment $120$ days from now will pay off the two obligations if interest is to be $2\%$ and the agreed focal date is $120$ days from now?

The value of the payment is $

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