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21 November, 07:10

Calculate the total interest paid on a 30-year, 3.9% fixed-rate $200,000 mortgage loan.

Remember that number of compounding periods in a year n = number of payments expected to be made in a year. If you make monthly mortgage payments, then interest on the loan is compounded monthly.

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  1. 21 November, 07:21
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    Total Interest payment on Monthly compounding is $443,177

    Explanation:

    Mortgage Interest payment will involve the compounding effect of interest amount.

    Use following Formula

    A = P (1 + r) ^n

    r = rate of interest = 3.9% = 3.9% / 12 = 0.325%

    n = Number of periods = 30 years x 12 month each year = 360 periods

    P = Principal amount = $200,000

    A = $200,000 x (1 + 0.00325) ^360 = $643,177.17

    Interest amount = $643,177.17 - $200,000 = $443,177.17
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