# Effective interest rate

﻿
Effective interest rate

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. [http://www.uncdf.org/mfdl/readings/EIR_Tucker.pdf Tucker, William R. "Effective Interest Rate," Paper, Bankakademie Micro Banking Competence Center, 5-6 September 2000] It is used to make loans with different compounding terms (daily, monthly, annually, or other) more comparable.

The effective interest rate differs in two important respects from annual percentage rate: first, the effective interest rate generally does not incorporate one-time charges such as front-end fees or other "unusual" features; second, the effective interest rate is (generally) not a term defined by legal or regulatory authorities (as annual percentage rate is in many jurisdictions).

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.

It is important to note that 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.

Calculation

The effective interest rate is calculated as if compounded annually. The effective rate is calculated in the following way, where r is the effective annual rate, i the nominal rate, and n the number of compounding periods per year (for example, 12 for monthly compounding)::$r = \left(1+i/n\right)^\left\{n\right\} - 1$

For example, a nominal interest rate of 6% compounded monthly is equivalent to an effective interest rate of 6.17%. 6% monthly is credited as 6%/12 = 0.5% every month. After one year, the initial capital is increased by the factor (1+0.005)12 ≈ 1.0617. (n.b.: Percentage figures must always be divided by 100, as the percent sign is a notation convenience; e.g. 6% = 0.06).

When the frequency of compounding is increased up to infinity the calculation will be::$r = e^i - 1$

The yield depends on the frequency of compounding.

The effective interest rate is a special case of the internal rate of return.

* Annual percentage rate
* Compound interest
* Euribor
* Fee
* Interest
* List of finance topics
* Overdraft
* Real interest rate
* Real versus nominal value
* Time value of money

References

The ABC's of Figuring Interest. http://www.chicagofed.org/consumer_information/abcs_of_figuring_interest.cfm

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• effective interest rate — apskaičiuotų palūkanų norma statusas Aprobuotas sritis buhalterinė apskaita ir finansinė atskaitomybė apibrėžtis Palūkanų norma, kurią taikant pinigų srautai, susiję su finansiniu turtu ar finansiniu įsipareigojimu, diskontuojami visą to turto ar …   Lithuanian dictionary (lietuvių žodynas)

• Effective interest rate —   Interest rate converted to a standardised interest settlement frequency and to a standardised interest calculation basis …   International financial encyclopaedia

• effective interest rate — active interest rate …   English contemporary dictionary

• effective interest rate — noun 1. the actual annual rate of interest being paid or received after all other charges, costs or other income have been taken into account. 2. the annual rate of interest which is equivalent to a nominal rate over a shorter period. See nominal …   Australian English dictionary

• effective interest rate — The annual rate at which an investment grows in value when interest is credited more often than once a year. Bloomberg Financial Dictionary …   Financial and business terms

• effective annual rate — UK US noun [C] (also effective annual interest rate) ► FINANCE the actual rate of interest paid or charged over one year: »The effective annual rate is the amount of interest charged on an overdraft, not including any fees or charges …   Financial and business terms

• effective annual rate — The total interest paid or earned in a year expressed as a percentage of the principal amount at the beginning of the year …   Accounting dictionary

• effective annual rate — The total interest paid or earned in a year expressed as a percentage of the principal amount at the beginning of the year …   Big dictionary of business and management

• Interest rate cap and floor — Interest rate c An interest rate cap is a derivative in which the buyer receives payments at the end of each period in which the interest rate exceeds the agreed strike price. An example of a cap would be an agreement to receive a payment for… …   Wikipedia

• Interest rate — Finance Financial markets Bond market …   Wikipedia