1) You are planning for your retirement and have decided the following: you will retire in 38 years and would like to have $7,000 per month as retirement income for 30 years of retirement. You have access to an account that earns a 9% rate of return.
a) How much will you need to have when you retire to be able to withdraw the desired $7,000 per month during your years of retirement?
b) If you plan to save by making equal monthly deposits into your account from now until when you retire, how much does that deposit need to be?
2) A six-year annuity of $10000 quarterly payments will begin 8 years from now. The discount rate is 9%, compounded quarterly.
a) How much is this annuity worth 5 years from now?
b) How much is this annuity worth today?