You have just turned

22

years old, received your bachelor's degree, and accepted your first job. Now you must decide how much money to put into your retirement plan. The plan works as follows: Every dollar in the plan earns

6.7 %

per year. You cannot make withdrawals until you retire on your 65th birthday. After that, you can make withdrawals as you see fit. You decide that you will plan to live to

100

and work until you turn

65

.

You estimate that to live comfortably in retirement, you will need

$ 90 comma 000

per year, starting at the end of the first year of retirement and ending on your 100th birthday. You will contribute the same amount to the plan at the end of every year that you work. How much do you need to contribute each year to fund your retirement?