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11 July, 06:37

You put 20% down on a home with a purchase price of $250,000. The down payment is thus $50,000, leaving a balance owed of $200,000. The bank will loan the remaining balance at 3.91% APR. You will make annual payments with a 30-year payment schedule. What is the annual annuity payment under this schedule

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  1. 11 July, 07:47
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    The amount payable yearly under the mortgage is $ 11,439.96

    Explanation:

    The annual annuity payment can be arrived at by using the pmt formula in excel, which is stated thus:

    =pmt (rate, nper,-pv, fv)

    the rate of interest on the mortgage which is 3.91%

    nper is the duration of the mortgage which is 30 years

    pv is the amount of loan to be repaid over 30 years, that is $200,000

    fv is the sum of the principal and total interest repayable, since it is not known it is taken as zero

    =pmt (3.91%,30,-200000,0)

    pmt=$ 11,439.96

    The annual annuity payment under the schedule is $ 11,439.96
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