Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $200,000 at the end of the year for the next 25 years or $1,568,628 today. a. If your investment rate over the next 25 years is 13%, which payoff will you choose? b. If your investment rate over the next 25 years is 10%, which payoff will you choose? c. At what investment rate will the annuity stream of $200,000 be the same as the lump-sum payment of $1,568,628