You have just won a state lottery! You have the option of receiving equal annual payments of $$220,000$ for $30$ years, or a lump sum amount today. The acceptable interest rate is $5\mathrm{.}5$ percent. If the state offers you a one$-$time payment of $$3\mathrm{.}4$ million today, should you accept it$?$

No$,$ because today's value of the annual payments is $$6,600,000$

Yes, because today's value of the annual payments is $$6,600,000$

Yes, because today's value of the annual payments is $$3,197,424$

No$,$ because today's value of the annual payments is $$3,197,424$

No$,$ because today's value of the annual payments is greater than $$3\mathrm{.}4$ million