8) (35pts) You have just won the New York State lottery. Congratulations! You have a choice of how to receive your winnings. Assuming all debt issued by the state yields 4%, compounded annually, which of the following would you choose? a. $20,000,000 today b. An annuity of $1,150,000 each year (starting a year from today) for 30 years c. A perpetuity of $825,000 each year forever (starting a year from today) d. $24,000,000 in five years Show your work (i.e. use formulas) to receive credit