$($Related to Checkpoint $5\mathrm{.}6)($Solving for i$)$ You are considering investing in a security that will pay you $$2,000$ in $34$ years.

a$.$ If the appropriate discount rate is $11$ percent, what is the present value of this investment?

a$.$ If the appropriate discount rate is $11$ percent, the present value of this investment is $

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