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Annual percentage yield or effective annual yield is the analogous concept for savings or investments, such as a certificate of deposit. Since a loan by a borrower is an investment for the lender, both terms can apply to the same transaction, depending on the point of view.
Annual percentage yield (APY) is a normalized representation of an interest rate, based on a compounding period of one year. APY figures allow a reasonable, single-point comparison of different offerings with varying compounding schedules. However, it does not account for the possibility of account fees affecting the net gain.
The term annual percentage rate of charge (APR), [1] [2] corresponding sometimes to a nominal APR and sometimes to an effective APR (EAPR), [3] is the interest rate for a whole year (annualized), rather than just a monthly fee/rate, as applied on a loan, mortgage loan, credit card, [4] etc. It is a finance charge expressed as an annual rate.
The interest rate on an annual equivalent basis may be referred to variously in different markets as effective annual percentage rate (EAPR), annual equivalent rate (AER), effective interest rate, effective annual rate, annual percentage yield and other terms. The effective annual rate is the total accumulated interest that would be payable up ...
The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized . The interest rate has been characterized as "an index of the preference . . . for a dollar of present [income] over a dollar of future income". [ 1 ]
The effective interest rate is always calculated as if compounded annually. The effective rate is calculated in the following way, where r is the effective rate, i the nominal rate (as a decimal, e.g. 12% = 0.12), and n the number of compounding periods per year (for example, 12 for monthly compounding):
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The annual effective discount rate expresses the amount of interest paid or earned as a percentage of the balance at the end of the annual period. It is related to but slightly smaller than the effective rate of interest, which expresses the amount of interest as a percentage of the balance at the start of the period.