Question

Ms. B is 55 years old and is planning to retire at age 62. She wants to have a retirement income from that point until age 85. She projects that she will need $5,000 per year during her retirement to supplement her other retirement income. She has accumulated a nest egg $25,000 at this point. Assume that she can invest at a 8% annual rate in the pre-retirement period, that her funds can be invested at a 9% annual rate after retirement, and that contributions and withdrawals occur at the end of each year. If you use a financial calculator to solve, show all keystrokes and values input (e.g. FV = $XXX, PMT = $YYY, etc.)

How much does Ms. B need at age 62?

How much does Ms. B have saved at age 62?

Does she have enough accumulated at this point to fund her plan?

If she does not have enough, how much must she save each year (payment) for the next 7 years in order to fund her plan?

Answer 1

How much does Ms. B need at age 62? = $47901.03

2. How much does Ms. B have saved at age 62? = $42845.61

3. Does she have enough accumulated at this point to fund her plan? No because the future value of the savings is less than the amount needed at the age of 65

4. If she does not have enough, how much must she save each year (payment) for the next 7 years in order to fund her plan?

Amount needed = $47901.03 - 42845.61 = $5055.43

Yearly Savings required= $566.57