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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 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): [1]
The nominal interest rate, also known as an annual percentage rate or APR, is the periodic interest rate multiplied by the number of periods per year. For example, a nominal annual interest rate of 12% based on monthly compounding means a 1% interest rate per month (compounded). [2]
Note that the interest rate is commonly referred to as an annual percentage rate (e.g. 8% APR), but in the above formula, since the payments are monthly, the rate must be in terms of a monthly percent. Converting an annual interest rate (that is to say, annual percentage yield or APY) to the monthly rate is not as simple as dividing by 12; see ...
The basic compound interest formula for deposit accounts is: A ... R is the annual interest rate expressed as a decimal. ... Since this example has monthly compounding, the number of compounding ...
The monthly payment formula is based on the annuity formula. The monthly payment c depends upon: r - the monthly interest rate. Since the quoted yearly percentage rate is not a compounded rate, the monthly percentage rate is simply the yearly percentage rate divided by 12. For example, if the yearly percentage rate was 6% (i.e. 0.06), then r ...