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Beautinator Cosmetics borrowed $152,300 from a bank for three years. If the quoted rate (APR) is 11.75 percent, and the compounding is daily, what is the effective annual rate (EAR)

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shyrae2004
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The effective annual interest rate (EAR) is the rate of interest that shows the actual rate that is owed on a loan. The effective annual interest rate reflects the impacts of compounding.  

EAR = (1 + periodic interest rate)^m - 1

Periodic interest rate = APR /m

11.75 / 365 = 0.032192%

m =  number of compounding = 365

EAR = (1 + 0.000322)^365 - 1 = 0.1247 = 12.47%

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