Question

You wish to retire in 14 years, at which time you want to have accumulated enough money to receive an annual annuity of $17,000 for 19 years after retirement. During the period before retirement you can earn 8 percent annually, while after retirement you can earn 10 percent on your money. What annual contributions to the retirement fund will allow you to receive the $17,000 annuity? Use Appendix C and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

Answer 1

Annual contribution = $5873.06

Step-by-step explanation:

First we will find the present value at the time of retirement and then we will find the annual contribution during the years of working. Below is the calculation to find the present value

Present value at the time of retirement = Annuity (P/A, r, n)

Present value at the time of retirement = $17000 (P/A, 10%, 19)

Present value at the time of retirement = $17000 (8.365)

Present value at the time of retirement = $142205

Now find the annual contribution:

Annual contribution = Future value (A/F, r, n)

Annual contribution = 142205 (A/F, 8%, 14)

Annual contribution = 142205(0.0413)

Annual contribution = $5873.06