$[$Ch $5]$ You have a loan outstanding requiring three annual payments at the end of the next three years of $$5,000,$$$3,000$ and $$2,000,$ respectively $($payment plan A$).$ Your bank has offered to allow you to skip making the first two payments and instead make a single large payment in three years $($payment plan B$).$ If the interest rate on the loan is $5\mathrm{.}45\%$ per year, compounded annually, what final payment will the bank require so that it is indifferent between the two payment plans?

$($to nearest $$0\mathrm{.}01)$