Question

Prof. Business realizes she is entering the last third of her career and is considering retirement in 12 years. She is in a self-managed defined contribution pension plan and through automatic payroll deduction and University matching both based on mandated percentages of her salary $1250/month is currently deposited into her pension plan. Due to the lack of recent raises at her public university, she doesn’t plan on these monthly contributions increasing much if any over the next 12 years.

Prof. Business currently has $500,000 in her pension plan account and is somewhat concerned if this along with her mandated future $1250 monthly deposits will adequately fund her retirement in 12 years. She is considering supplementing her pension plan by having automatic additional monthly deposits deducted into a 403c retirement plan which is like a 401k plan for employees of non-profit organizations like public universities. She is comfortable that this 403c plan since it has the same investment management companies and investment options as her current pension plan and it also has a Roth option where she won’t get a tax break for her deposits but her retirement withdrawals will be tax free. Prof. Business has a monthly deposit amount in mind, but wants your help in trying to figure out if this amount will be adequate. Given her current pension plan portfolio investment mix, she estimates a nominal annual expected return of 7.2% which translates to a 0.6% monthly expected return.

1. Prof. Business is considering having $900/month, which is about 10% of her monthly gross (pre-tax) salary deducted and deposited into the 403c for the next 12 years. This is addition to the $500,000 already in her pension plan today and the estimated $1250 monthly deposits into her current pension plan. What is the expected total value of Prof. Business’ retirement accounts after making end of the month deposits of $2150 for 10 years on top of her current retirement savings of $500,000 at her expected monthly return?

Answer 1

1) Expected total value after 10 years = Future Value of Current savings of $500,000 + Future Value of monthly deposits of $2150

Using Compound Interest Formula:

where, P = $ 500,000

R = 0.6% per month

N = 10 years = 120 months

Future Value of current savings of $500,000 is = $1,025,009

Using formula for Futue Value of an Annuity:

where C = $2150

R = 0.6% per month

N = 10 years = 120 months

FV (annuity) = $376,256.47

Expected total value after 10 years = $1,025,009 + $376,256.47 = $1,401,265.50