Topics › Effective/Nominal Rate Conversion

Effective/Nominal Rate Conversion

Converts a nominal annual rate with multiple interest credits per year into the effective annual rate.

Enter your own numbers and press "Calculate" – or load an example on the right; "Type in" replays it on the device.

Load an example
Quarterly coupons and the effective rate 6.14 %
What you learn

Quarterly interest credits bring compounding within the year – that is why the effective rate lies above the nominal rate. In comparisons the effective rate always counts.

→ Story & full explanation: Quarterly coupons and the effective rate

Formula
i_eff = (1 + i_nom/m)^m − 1
How the formula works

i_eff = (1 + i_nom/m)ᵐ − 1 shows why more frequent interest credits bring more: each intra-year credit itself earns interest again. That is why the effective rate lies above the nominal rate – and only effective rates may be compared fairly.

Intra-year compounding raises the effective rate through compound interest.

Embed on your own website

iframe code
<iframe src="https://fintechcalc.mindcruce.com/calculator.php?c=zinsumrechnung&embed=1" width="100%" height="640" style="border:1px solid #ddd;border-radius:12px" loading="lazy"></iframe>