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You bought a house a year ago for $250,000, borrowing $200,000 at quoted rate of 12% annual from TD bank, with semi-annual compounding, on a

You bought a house a year ago for $250,000, borrowing $200,000 at quoted rate of 12% annual from TD bank, with semi-annual compounding, on a 25-year loan. Interest rates have since come down to 9%. You can refinance your mortgage at this new rate.

i) How much are your monthly payments on your current loan (at 12%)?

ii) How would your monthly payments change if you could refinance your mortgage at 9% (with a 24-year term loan)?

iii) Suppose you kept your monthly payments at the original amount found above at 12%, but refinanced at 9%, how long would it take you to pay off your mortgage?

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