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Nominal Interest Rate Calculator

Work out nominal interest rate instantly with clear inputs, formula shown and shareable results.

About Nominal Interest Rate Calculator

Going the other way from an effective rate, the nominal rate is m times the periodic rate that compounds up to it. This is the conversion needed when a product must be advertised at a nominal rate but priced from a target effective yield.

Formula

Nominal from effective

i = m[(1 + EAR)^(1/m) - 1]

EAR
Effective annual rate
m
Periods per year

Worked example

With the default values below, Nominal Interest Rate Calculator returns Nominal Annual Rate of 10.1102%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Effective Annual Rateaccepts 0–100 %
10.5 %
Compounding Periods Per Yearaccepts 1–365
4

Results

Nominal Annual Rate
10.1102%
Rate Per Period
2.527548%
Effective Minus Nominal
0.3898%
Effective Rate Recomputed
10.5000%

Step by step

  1. 1Values used
  2. 2Nominal from effective
  3. 3Nominal Annual Rate= 10.1102
  4. 4Rate Per Period= 2.527548
  5. 5Effective Minus Nominal= 0.3898
  6. 6Effective Rate Recomputed= 10.5000

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax or fees or charges into account.
  • Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
  • Figures are estimates. Lenders apply their own rounding, fees and eligibility rules, and rates change. This is not financial advice — confirm the numbers with your lender.
  • This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Figures are estimates. Lenders apply their own rounding, fees and eligibility rules, and rates change. This is not financial advice — confirm the numbers with your lender.

Frequently Asked Questions

Why is the nominal rate lower?

Because it ignores the interest that intra-year compounding adds. The gap widens with frequency and with the level of rates.

What is the limit for very frequent compounding?

The nominal rate approaches ln(1 + EAR), the force of interest.

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