Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annuitized $105

Question:

Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annuitized $105 million paid out in 30 equal annual payments beginning immediately. The annual payment is determined by dividing the advertised prize by the number of payments. You now have up to 60 days to determine whether to take the cash prize or the If you were to choose the annuitized prize, how much would you receive each year?
b. The cash prize is the present value of the payments. If interest rates are 4.5%, how much will you receive if you choose the cash option?
c. Now suppose that, as many lotteries do, the annuitized cash flows will grow by 3% per year to keep up with inflation, but they still add up to $105 million. In this case, the first payment will be $2,207,022.23 today. If you took the cash prize instead, how much would you receive (before taxes)?
Annuity
An annuity is a series of equal payment made at equal intervals during a period of time. In other words annuity is a contract between insurer and insurance company in which insurer make a lump-sum payment or a series of payment and, in return,...