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You have an outstanding student loan with required payments of $400 per month for the next 5 years (the next payment is due in 1

You have an outstanding student loan with required payments of $400 per month for the next 5 years (the next payment is due in 1 months time). The interest rate on the loan is 6% APR (monthly). To help reduce the amount of interest you are going to pay, and to shorten the lifetime of the loan, you are planning on making a $1,000 payment today (i.e., you will pay an extra $1,000 that you are not required to pay). If you are required to make payments of $400 per month until the loan is paid off, how long will it take to repay the loan if you make the extra $1,000 payment, and what is the final payment amount?

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