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24 October, 04:20

Money is a rather tight this month, and so you decide to borrow $1,300 from your local loan shark, "Mr. E. Z. Loan". He is willing to lend you the $1,300 if you will repay him $1,371.50 one month later. What nominal annual interest rate are you being charged

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  1. 24 October, 07:49
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    Nominal Annual interest rate is 66% (assuming interest paid is simple interest)

    Explanation:

    Amount of loan = $1,300

    Repayment value = $1,371.50

    Period = 1 month

    Interest payment = Repayment value - Amount of loan

    Interest payment = $1,371.50 - $1,300 = $71.50

    Rate of interest payment = Interest payment / loan amount = $71.5 / $1,300 = 0.055 = 5.5% per month

    Yearly interest = 5.5% x 12 = 66%
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