Suppose Becky has her choice of $10,000 at the end of each month for life or a single prize of $1.5 million. She is 35 years old and her life expectancy is 40 more years.
(i) Find the present value of the annuity if money is worth 7.2%, compounded monthly.
(ii) If she takes the $1.5 million, spends $700,000 of it, and invests the remainder at 7.2% compounded monthly, what amount will she receive at the end of each month for the next 40 years?