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Nominal Rate Calculator

Convert an effective rate back to a nominal rate.

How it is calculated

The tool undoes compounding. From an effective annual rate (EAR) it first finds the rate for one compounding period, then scales it up: nominal = n × ((1 + EAR ÷ 100)1/n − 1) × 100 and periodic rate = nominal ÷ n. EAR is the true yearly growth in percent (12.68 means 12.68%), and n is how many times a year the interest compounds: 12 for monthly, 4 for quarterly, 365 for daily, 1 for annual. With n = 1 the nominal and effective rates are the same. For a given EAR, the more often interest compounds, the lower the nominal rate that produces it. n must be a whole number of at least 1, so 0.5 or 2.5 give no result, and an EAR of −100% or lower gives no result either. A negative EAR above −100% is accepted and gives a negative nominal rate (−5% EAR with monthly compounding gives −5.12%).

Worked example

A savings account advertises an effective yield of 12.68% and compounds monthly (n = 12). Growth per month: (1.1268)1/12 − 1 = 0.0100, or 1.00% a month. Nominal annual rate: 12 × 1.00% = 12.00%. The reverse check confirms it: 1.0112 = 1.1268, so a 12% nominal rate compounded monthly yields 12.68% a year. With daily compounding (n = 365) the same EAR would correspond to a lower nominal rate, about 11.94%.

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Common mistakes

  • Treating a nominal rate and an effective rate as the same number. Here 12.00% nominal and 12.68% effective describe the same growth, and comparing one product's nominal rate with another's effective rate is misleading.
  • Entering the wrong compounding frequency. Daily compounding is 365 and monthly is 12; using 12 for a daily account gives a different nominal rate.
  • Entering the EAR as a decimal such as 0.1268. The field is in percent, so type 12.68; a decimal would be read as a rate below 1% and give a nominal rate of 0.13%.
  • Treating the periodic rate as the annual rate. It is the rate per compounding period, so 1.00% per month is not the yearly figure.
  • Entering a fractional frequency such as 0.5 for compounding every two years. The frequency must be a whole number of at least 1, so the tool gives no result.

Sources

About this calculator

The nominal annual rate is the stated interest rate before accounting for the effect of compounding within the year, while the effective annual rate (EAR) is what you actually earn or pay once compounding is factored in. This calculator reverses that relationship: given an effective rate and the number of compounding periods per year, it solves for the nominal rate using i_nom = n × [(1 + EAR)^(1/n) − 1], where n is the compounding frequency.

This conversion matters whenever a stated APY or effective yield needs to be compared against a contract, bond, or loan that's quoted in nominal terms with a specific compounding frequency — daily, monthly, or quarterly. Bankers, bond analysts, and anyone comparing savings products with different compounding schedules use this to put rates on a truly comparable footing rather than being misled by a headline number.

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