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Nominal Interest Rate Calculator

Enter the effective annual rate and periods per year to find the nominal rate.

How it is calculated

The tool works backwards from the rate you actually earn or pay in a year (the effective annual rate, EAR) to the quoted rate. With the EAR in percent and n compounding periods per year: periodic rate = (1 + EAR ÷ 100)^(1/n) − 1 and nominal rate = n × periodic rate, shown as percentages with four decimals. The third line repeats the number of periods. Use n = 12 for monthly, 4 for quarterly, 365 for daily compounding and 1 for yearly, where nominal and effective rates are equal. n must be at least 1 and the effective rate must be above −100%. The nominal rate is always a little lower than the effective one when n is above 1.

Worked example

An account pays an effective 12% a year and compounds monthly, so n = 12. Periodic rate: 1.12^(1/12) − 1 = 0.9489% per month. Nominal rate: 12 × 0.9489% = 11.3866%. So a quoted 11.39% with monthly compounding grows to exactly 12% over a year. With daily compounding (n = 365) the same 12% effective rate corresponds to a nominal rate of 11.3346%, and with n = 1 it is 12.0000%.

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Common mistakes

  • Confusing the direction. This tool converts effective to nominal; to get the effective rate from a quoted nominal rate you need the opposite formula, and the answer is higher, not lower.
  • Entering the rate as a decimal such as 0.12. The field is in percent, so type 12.
  • Using the wrong number of periods. A rate compounded monthly needs n = 12; entering 1 returns the same rate with no adjustment.
  • Dividing the nominal rate by 12 and calling it the effective monthly rate. The tool's periodic line already does this correctly, as the n-th root, not as 12% ÷ 12.
  • Comparing a nominal rate from one product to an effective rate from another. They are not like for like until both are converted to the same basis.

Sources

About this calculator

The nominal (annual percentage) rate is the stated rate before accounting for compounding within the year, while the effective annual rate reflects what actually accrues after compounding m times per year. The two are linked by i_nom = m·[(1+i_eff)^(1/m) − 1].

Regulators typically require lenders and account providers to disclose both figures so borrowers and savers can compare products that compound at different frequencies — monthly versus daily, for instance — on equal footing. This calculator is used by finance students, loan shoppers, and analysts converting between a quoted rate and its true annual equivalent.

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  • Editorial team

    Lenders often quote the nominal rate while the effective rate is what you really earn or pay over a year, so converting is how you compare offers on equal terms. An effective rate of 10% corresponds to a nominal 9.6455% compounded quarterly, 9.5690% monthly and 9.5323% daily. If a quoted rate differs from what you get here, post the effective rate and the compounding you assumed.

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