$($Present$-$value comparison$)$ Much to your surprise, you were selected to appear on the TV show "The Price is Right." As a result of your prowess in identifying how many rolls of toilet paper a

typical American family keeps on hand, you win the opportunity to choose one of the following: $$1,000$ today, $$12,000$ in $13$ years, or $$30,000$ in $27$ years. Assuming that you can earn $14$ percent on

your money, which should you choose?

If you are offered $$12,000$ in $13$ years and you can earn $14$ percent on your money, what is the present value of $$12,000?$

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

If you are offered $$30,000$ in $27$ years and you can earn $14$ percent on your money, what is the present value of $$30,000?$

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