an annuity can be thought of as simply the difference between two perpetuities. Assume that you have two perpetuities, with the same yearly cash flows and the same risk (i.e., the same discount rate), but where the first perpetuity has its payments starting at Year 1, while the second perpetuity has its payments starting at year 46. Also assume that the second perpetuity has a value of $5,317.75 when evaluated as of Year 45. Finally assume that a 45-year annuity (payments in Years 1-45), created as the difference between perpetuities 1 and 2, has a value of $164,427.22 when evaluated as of Year 45 and using the same discount rate as applied to the perpetuities. Given this information, determine the amount of the perpetuity / annuity payments in each year. (Hint: you will first have to determine the interest rate that is being used.)