Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquilitys Lottory The State offers you two payment plans for the $5,000,000 advertised jackpot you can take annual payments of $100,000 at the end of the year for the next 50 yours or 8001 481 today a. If your investment rate over the next 50 years is 12%, which payoff Will you choose? b. If your investment rate over the next 50 years is 9% which payoff will you choose? c. Al what investment rate will the annuity stream of $100,000 be the same as the lumpsum payment of $991,4819 a. If your investment rate over the next 50 years is 12%, what is the present value of the $100,000 annual payments today? (Round to the nearest dollar)