Wealth

Effective Annual Rate

The yearly rate a nominal APR becomes once compounding is counted.

Effective annual rate

6.17%

Nominal rate
6.00%
After one year
$1,061.68
Interest in that year
$61.68

The nominal rate is what the contract quotes per year. The effective rate is what a year of compounding actually pays, before tax. A loan APR that already includes fees is a different definition and is not rebuilt here.

How this number is made

Two accounts can both say 6% and pay different amounts. The one that compounds monthly pays interest on interest inside the year. The effective annual rate is the single yearly percent that matches that result.

  1. Type the nominal rate, the one that is not already called APY, AER, or effective.
  2. Match the compounding on the disclosure. Monthly is twelve. Daily is 365 on this page, not 360.
  3. The sample amount is only a picture of one year. It is not a term-deposit maturity over many years.

Formula

Effective annual rate = (1 + nominal rate ÷ n) ^ n − 1, where n is the number of compounds in a year.

Worked example

6% compounded monthly is an effective rate of 6.17%. On $1,000 that is $61.68 of interest in the year, not $60.

Questions

Is APR the same as this?

A savings APR is often the nominal rate. A loan APR in some countries folds in fees and is already a price of credit. Don’t run a fee-loaded loan APR through this page and expect the bank’s figure.

What if they already quote the effective rate?

Then you do not need this conversion. Compounding it again double-counts. The term-deposit page wants the nominal rate plus the frequency.

Embed this calculator

Put it on your site. The link under the tool is required, the same way a quoted figure needs a source.

<iframe src="https://wagefigure.com/embed/effective-rate" title="Effective Annual Rate" width="100%" height="720" style="border:0"></iframe>