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21 September, 04:17

David borrows $230,000 to buy a house. The mortgage rate is 4.5 percent and the loan period is 25 years. Payments are made monthly. If John pays the mortgage according to the loan agreement, how much total interest will John pay

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  1. 21 September, 08:04
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    EMI

    Loan Amount 230000

    Interest rate per period 0.00375

    Number of periods 300

    EMI = [P x R x (1+R) ^N]/[ (1+R) ^N-1]

    Where,

    EMI = Equal Monthly Payment

    P = Loan Amount

    R = Interest rate per period

    N = Number of periods

    = [ $230000x0.004 x (1+0.004) ^300]/[ (1+0.004) ^300 - 1]

    = [ $862.5 (1.004) ^300] / [ (1.004) ^300 - 1

    =$1278.4147

    Total payment = $1278.4147*300

    =$383524.41

    Interest payment = total payment - laon amount

    =$383524.41-230000

    Interest payment = $1,53,524.41
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