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Nominal ↔ Effective Rate Calculator

Convert between nominal and effective annual rates for any compounding frequency, including continuous.

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Nominal ↔ Effective Rate Calculator

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Show formula & working

Effective = (1 + nominal ÷ m)m − 1 · Nominal = m × ((1 + effective)1/m − 1)

Continuous: effective = enominal − 1 · nominal = ln(1 + effective)

    How this works

    A 12% rate compounded monthly is really 12.68% a year. Comparing products needs the effective rate.

    Going the other way tells you what nominal rate gives a target effective yield.

    Frequently asked questions

    Which rate do banks quote?

    Deposit rates are nominal with quarterly compounding; the bank may also show the annualised yield.

    Do loans work the same way?

    Yes — monthly-reducing loan rates are nominal; the effective cost is higher.

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