$($Complex present value$)$ How much do you have to deposit today so that beginning $14$ years from now you can withdraw $$12,000$ a year for the next $5$ years $($periods $14$ through $18)$ plus an additional amount of $$24,000$ in that last year $($period $18)?$ Assume an interest rate of $11$ percent.

a$.$ What is the value of the $$12,000$ withdrawals in years $14$ through $18$ at the end of year $13$ if the annual interest rate is $11$ percent?

$($Round to the nearest cent.$)$