You have an outstanding student loan with required payments of $$500$ per month for the next four years. The interest rate on the loan is $10\mathrm{.}00\%$ APR $($monthly$).$ You are considering making an extra payment of $$100$ today $($i$.$e$.,$ you will pay an extra $$100$ that you are not required to pay$).$ If you are required to continue to make payments of $$500$ per month until the loan is paid off, what is the amount of your final payment? What effective rate of return $($expressed as an APR with monthly compounding$)$ have you earned on the $$100?($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

If you are required to continue to make payments of $$500$ per month until the loan is paid off, what is the amount of your final payment?

The final payment is $ $($Round to the nearest cent.$)$