Question 2: An investor is considering depositing $20,000 in an account earning 5% compounded quarterly for the next three years. Afterwards, he will take this amount and contribute $200 quarterly for the next four years at a rate of 4% compounded semi- annually. Finally, over the next two years, he will withdraw $1,000 annually at a rate of 3.5% compounded monthly. Determine the future value at the end of this time period Hint: Each of the payments occurs at the end of the respective period. The $20,000 payment occurs at the end of each of the first three years. The $200 payment occurs at the end of each quarter for the next four years. The $1,000 payment is withdrawn from the account at the end of each of the last 2 years. Additional hint: Do not attempt this as a cash flow (CF Keys) problem as the interest rate changes over the various periods. Treat this as a series of annuities, the 2nd two of which also have a PV, which is the FV from the prior annuity. (10 marks) 5% APR compounded quarterly 4% APR compounded semi-amually 20,000 20,000 20,000 200 200 200 200 200 200 200 200 200 200 TTTTTTTTTTTMAN 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27