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20 October, 10:31

You plan to borrow $47,400 at a 7.5% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2

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  1. 20 October, 11:35
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    I would need to pay Interest of $3150.44 in year 2

    Explanation:

    First Calculate annual Payment

    The Principle is $ 47400, Therefore PV = $47400

    Interest rate provided is 7.5%, Therefore i = 7.5%

    Interest is compounded Annually, Therefore P/YR = 1

    Period over which loan is to be repaid is 7 years, Therefore N = 7

    Payments are made at the end of year

    Using Financial Calculator for (PV = $47400, i = 7.5%, P/YR = 1, N = 7) The payment to be made annually is $8949.13

    Then Determine Interest to be paid in Year 2 from Amortization Schedule

    First year

    Principle payment of $5394.13 is made

    And Interest paid $ 3555 is paid

    Leaving the Balance to be paid at $ 42005.87

    Second year

    Principle payment is $ 7440.57

    Interest interest paid is $ 3150.44

    Leaving a remaining balance of $36207.17 to be paid
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