chandlertorsch7041 chandlertorsch7041
  • 10-01-2020
  • Business
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a person borrows $300 from a payday loan company, pays $12 interest for two weeks. this would result in an annual interest rate of

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ogundeyiolaide ogundeyiolaide
  • 10-01-2020

Answer:

177.25%

Explanation:

For the two week period, the interest rate of $12 translates to

= [tex]\frac{12}{300}[/tex] = 4% per 2 weeks

In a year, there are 52 weeks (i.e 52/2 = 26 (2weeks)).

Thus, to annualize 4% in 2 weeks, we use the formula

[tex](1 + r)^{n} - 1[/tex]

where r is the rate per period (in this case 4%)

n is the number of periods in a year (in this case, 26)

Thus, annual rate = [tex](1 + 0.04)^{26} - 1[/tex]

= [tex](1.04)^{26} - 1[/tex]

= 2.7725 - 1

= 1.7725

= 177.25%.

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