$($Related to Checkpoint $5\mathrm{.}4)($Present$-$value comparison$)$ You are offered $$100,000$ today or $$300,000$ in $13$ years. Assuming that you can earn $11$ percent on

your money, which should you choose?

If you are offered $$300,000$ in $13$ years and you can earn $11$ percent on your money, what is the present value of $$300,000?$

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