Question

Prof. Business has a self-managed retirement plan through her University and would like to retire in 8 years and wonders if her current and future planned savings will provide adequatefuture retirement income. Here’s her information and goals.

Prof. Business wants a 20-year retirement annuity that begins 8 years from today with an equal annual payment equal to $110,000 today inflated at 2% annually over 8 years. Her first retirement annuity payment would occur 8 years from today. She realizes her purchasing power will decrease over time during retirement.

Prof. Business currently has $640,000 in her University retirement account. She expects these savings and any future deposits into her University and any other retirement account will earn 7.5% compounded annually. Also, she expects to earn this same 7.5% annual return after she retires.

Answer the following questions to help Prof. Business finalize her retirement planning.

1. What is Prof. Business’ desired annual retirement income?

2. How much will Prof. Business need 8 years from today to fund her desired retirement

   annuity?

3. In addition to the $640,000 balance today, Prof. Business will fund her future retirement goal from question 2 by making 8 annual equal deposits at 7.5% compounded annually into her retirement accounts starting a year from today (the last deposit will be made when Prof. Business retires). How large does this annual deposit need to be in additionto the initial $640,000 invested in Prof. Business’ retirement fund?

4. This annual figure from #3 is more than the Prof.’s current annual contribution, which makes her feel a little anxious about her future planned retirement. Also, Prof. Business’annual retirement account contribution is based on a percentage of her salary and willincrease as her salary increases. So, let’s re-plan her retirement income. Let’s account for the fact that her and the University’s contributions to Prof. Business’ Universityretirement plan are based on a certain percentage of her salary and will increase as her salary increases. Based on this formula, her first upcoming end of the year deposit will be$20,200 and let’s assume that her annual deposit and salary will grow at a 2% annualrate over the remaining 7 years (8 total deposits) to Prof. Business’ retirement. Thesedeposits are in addition to the $640,000 she currently has today in the University retirement plan. Answer the following based on these assumptions.

1. a) How much money will Prof. Business have in her retirement account immediately after her last deposit 8 years from today?

2. b) What would be the equal annual payment from her 20-year retirement annuity whose first payment occurs exactly 8 years from today?

Answer 1

Question 1 & 2

Question 3

Question 4