You have just turned $36$ years old, have just received your MBA, and have 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 $6\%$ per year. You cannot make withdrawals until you retire on

your $66$th birthday. After that point, you can make withdrawals as you see fit. You decide that you will plan to live to $90$ and work until you turn $66.$

You estimate that to live comfortably in retirement, you will need $$92,000$ per year starting at the end of the first year of retirement and ending on

your $90$ th 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?

The amount that you will need in $30$ years is $

$($Round to the nearest cent.$)$

To fund your retirement, your yearly contribution must be $

$($Round to the nearest cent.$)$