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15 March, 16:59

Matthew needed money for some unexpected expenses, so he borrowed $2,587.09 from a friend and agreed to repay the loan in three equal installments of $950 at the end of each year. What is the implied interest rate in this agreement?

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  1. 15 March, 17:08
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    The implied interest rate in this agreement is 3.3%

    Explanation:

    Total loan paid at end of third year = $950*3 = $2850

    Implied rate = (forward / spot) raised to the power of (1 / time) - 1

     Implied rate = [ (2850/2587.09) raised to the power of (1/3) - 1] * 100

     Implied rate = [1.0328 - 1] * 100

     Implied rate = 0.033 * 100

     Implied rate = 3.3%
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