Enter your Effective Annual Rate (EAR) and select the number of compounding periods per year to calculate the Nominal Interest Rate (APR). You'll also see the effective per-period rate and the rate per compounding interval — useful for comparing loan offers, savings accounts, and investment products.
Nominal Interest Rate (APR)
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Rate Per Compounding Period
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Effective Per-Period Rate
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Compounding Periods Per Year
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The nominal interest rate, also called the Annual Percentage Rate (APR) or stated rate, is the interest rate before the effects of compounding are applied. It's the rate lenders typically advertise for loans and credit products. To understand the true cost of borrowing, you need to convert it to the effective annual rate (EAR).
The nominal rate is the stated rate without accounting for compounding within the year, while the effective rate (EAR) reflects the actual return or cost after compounding is applied. The more frequently interest compounds, the greater the difference between the two rates — the effective rate will always be equal to or higher than the nominal rate.
Use the formula: Nominal Rate = m × [(1 + EAR)^(1/m) – 1], where m is the number of compounding periods per year and EAR is expressed as a decimal. For example, an EAR of 12.68% compounded monthly gives: 12 × [(1.1268)^(1/12) – 1] ≈ 12% nominal rate.
No. When compounding occurs more than once per year, the effective rate will always be greater than or equal to the nominal rate. They are equal only when compounding occurs annually (once per year). The more frequent the compounding, the larger the gap between nominal and effective rates.
In most contexts, yes — the nominal interest rate and Annual Percentage Rate (APR) refer to the same thing: the stated rate before compounding effects. However, in some jurisdictions, APR may also include fees and other loan costs, so always check how the rate is defined in your specific financial product.
Nominal rates appear lower than effective rates when compounding occurs more than once per year, making them more attractive to borrowers at first glance. Lenders are incentivized to advertise the lower-looking number. Always compare products using the effective annual rate (EAR) to get a true apples-to-apples comparison.
When compounding occurs only once per year (m = 1), the nominal rate and the effective annual rate are identical. There is no difference between the two because interest compounds only once, so no additional growth occurs within the year.
No. The nominal rate does not adjust for inflation. The rate that accounts for inflation is called the real interest rate, which is approximated by the Fisher equation: Real Rate ≈ Nominal Rate – Inflation Rate. To understand the true purchasing power impact of an interest rate, you'd need to subtract expected inflation from the nominal rate.