Joan Salt won $$250,000$ from the lottery. She will receive $$50,000$ at the end of each year for the next five years. Her investment portfolio has an average annual return of $7$ percent. What is the present value of the lottery winnings to Alice?A$.$ $$102,504\mathrm{.}94.$B$.$ $$185,476\mathrm{.}23.$C$.$ $$205,009\mathrm{.}87.$D$.$ $$250,000\mathrm{.}00.$