Effective Annual Interest Rate

An Effective Annual Interest Rate is an annual interest rate that accounts for the effect of compounding.

• AKA: Annual Equivalent Rate, AER, Effective Rate.
  • …
• Counter-Example(s):
  • Nominal Interest Rate.
• See: Effective APR, Interest Rate, Compound Interest, Annual Percentage Rate, Annual Percentage Yield, Certificate of Deposit, Internal Rate of Return.

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References

2015

• (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Effective_interest_rate Retrieved:2015-3-21.
  • The effective interest rate, effective annual interest rate, annual equivalent rate (AER) or simply effective rate is the interest rate on a loan or financial product restated from the nominal interest rate as an interest rate with annual compound interest payable in arrears.

    It is used to compare the annual interest between loans with different compounding terms (daily, monthly, annually, or other). The effective interest rate differs in two important respects from the annual percentage rate (APR):

    1. the effective interest rate generally does not incorporate one-time charges such as front-end fees;
    2. the effective interest rate is (generally) not defined by legal or regulatory authorities (as APR is in many jurisdictions).
  • By contrast, the effective APR is used as a legal term, where front-fees and other costs can be included, as defined by local law.

     Annual percentage yield or effective annual yield is the analogous concept used for savings or investment products, such as a certificate of deposit. Since any loan is an investment product for the lender, the terms may be used to apply to the same transaction, depending on the point of view.

    Effective annual interest or yield may be calculated or applied differently depending on the circumstances, and the definition should be studied carefully. For example, a bank may refer to the yield on a loan portfolio after expected losses as its effective yield and include income from other fees, meaning that the interest paid by each borrower may differ substantially from the bank's effective yield.

2014

• http://www.investopedia.com/terms/e/effectiveinterest.asp
  • QUOTE: An investment's annual rate of interest when compounding occurs more often than once a year. Calculated as the following: …

    Consider a stated annual rate of 10%. Compounded yearly, this rate will turn $1000 into $1100. However, if compounding occurs monthly, $1000 would grow to $1104.70 by the end of the year, rendering an effective annual interest rate of 10.47%. Basically the effective annual rate is the annual rate of interest that accounts for the effect of compounding.

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