BeautifulDisaster723
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  • 16-11-2017
  • Mathematics
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Sidney took out payday loan for $1200 that charged $85 fee. If the loan matures in 2 weeks, what is approximate effective interest rate of the loan?

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wackflavor wackflavor
  • 19-11-2017
The amount owed increases by $85 in two weeks. 

If the loan were "rolled over" at that point at the same interest rate, and this were done for a full year, the total amount owed would be 
(1285/1200)^26 * $1200 

If we subtract the original principle, $1200, and calculate the rest (the compounding interest) as a percentage of that principle, we get 

[(1285/1200)^26 * $1200 - $1200] / $1200 = 493%
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