You just won a lottery! For your prize, you opted to receive never$-$ending payments. The first payment will be $$12,000,$ which will be

paid one year from today. The payments will grow by $3\mathrm{.}5$ percent every year. What is the present value of your prize at an interest

rate of $8$ percent?

A$.$ $$150,000\mathrm{.}00$

B$.$ $$266,666\mathrm{.}67$

C$.$ $$300,000\mathrm{.}00$

D$.$ $$342,857\mathrm{.}14$