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

8.25%

APR (monthly). You are considering making an extra payment of

$200

today (i.e., you will pay an extra

$200

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

$200?

(Note: Be careful not to round any intermediate steps less than six decimal places.)