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Mortgage & Real Estate FinancePayment CalculationsMEDIUM

A borrower has a $300,000 mortgage at 4% interest, compounded semi-annually, with a 25-year amortization. What is the approximate monthly payment?

Correct Answer

D) $1,578

Canadian fixed-rate mortgages compound semi-annually, so the monthly rate is (1 + 0.04/2)^(1/6) - 1 = 0.3306%. Applying the payment formula to $300,000 over 300 monthly payments gives $1,578.06, or about $1,578 per month. Dividing 4% by 12 (monthly compounding) would give $1,584, which overstates the Canadian payment.

Answer Options
A
$1,427
B
$1,584
C
$1,590
D
$1,578

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Key Terms

semi-annual compoundingmortgage payment calculationequivalent monthly rateCanadian mortgageamortization
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