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29 April, 22:33

A company borrows 100,000 today at 12% nominal annual interest. the monthly payment of a 5 year loan is most nearly:

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  1. 30 April, 00:56
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    Formula for the monthly payment:

    M = P * r * (1 + r) ^n / ((1 + r) ^n + 1)

    where: P = $100,000 r = 0.12 : 12 = 0.01 n = 12 * 5 = 60

    M = 100,000 * 0.01 * (1 + 0.01) ^60 / ((1 + 0.01) ^60 + 1) =

    = 1,000 * (1.01) ^60 / ((1.01) ^60 + 1) =

    = 1,000 * 1.8167 / 0.8167 = 1,000 * 2.22444 =

    = $2,224.44

    The monthly payment is $2,224.44.
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