You have just turned $39$ 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$$ follows: Every dollar in the plan earns $10\%$ per year. You cannot make withdrawals until you retire on your $65$th birthday. After that$$ point, you can make withdrawals as you see fit. You decide that you will plan to live to $90$ and work until you turn $65.$ You estimate that to live comfortably in$$ retirement, you will need $$$$97,000$ per year starting at the end of the first year of retirement and ending on your $90$th birthday. You will contribute the same amount to the plan at the end of every year that you work. How much do you need to contribute each year to fund your$$ retirement?

The amount that you will need in $26$ years is $\_\_\_\_\_\_($Round to the nearest$$ cent.$)$

To fund your$$ retirement, your yearly contribution must be $\_\_\_\_\_\_\_($Round to the nearest$$ cent.$)$