Short answer: A nominal rate of 12,00% with monthly compounding is equivalent to an effective annual rate of 12,68%.
The preloaded values are an example: replace them with your own figures.
Effective annual rate (EAR)
With these figures, a nominal rate of 12,00% with monthly compounding is equivalent to an effective annual rate of 12,68%.
The same nominal rate (12.00%) with different compounding
| Compounding | Periods per year | Rate per period | EAR |
|---|---|---|---|
| annual | 1 | 12,0000% | 12,00% |
| semiannual | 2 | 6,0000% | 12,36% |
| quarterly | 4 | 3,0000% | 12,55% |
| monthly | 12 | 1,0000% | 12,68% |
| weekly | 52 | 0,2308% | 12,73% |
| daily | 365 | 0,0329% | 12,75% |
Results are for reference only and are not actual figures. Values depend on the country, the financial institution, taxes and current laws, and must be validated with an authorized financial institution. Banco.guru is an educational guide to what can be achieved; it does not offer products or personalized financial advice.
Tips for using this result
- To compare products, always use the effective annual rate or the total cost.
- The more times interest compounds in a year, the further the effective rate moves from the nominal rate.
- For loans, besides the rate, check insurance and fees with the total cost calculator.
- If your contract only shows the nominal rate, ask for the effective rate.
What is the nominal rate and what is the effective rate?
The nominal annual rate is the “sticker” rate: it doesn’t account for interest being added to the balance several times a year. The effective annual rate (EAR) does: it reflects the interest you actually pay or earn in a year when interest compounds.
What is the formula?
From nominal to effective: EAR = (1 + j/m)m − 1, where j is the nominal annual rate and m the number of compounding periods per year. From effective to nominal: j = m × [(1 + EAR)1/m − 1].
Example: 12% nominal with monthly compounding → (1 + 0.12/12)12 − 1 ≈ 12.68% effective annual.
Why does it matter?
Two loans with the same nominal rate can cost different amounts if they compound at different frequencies. And the effective rate still doesn’t include insurance, fees or taxes: that is what the total cost of credit (CAT, CFT or TCEA, depending on the country) is for. Each country regulates how it is disclosed; always confirm the figures in the institution’s official document.
Frequently asked questions
Is the effective rate always higher than the nominal rate?
It is equal when interest compounds once a year and higher when it compounds more often. It is never lower if the rate is positive.
Which rate should I use to compare loans?
The effective annual rate or, better still, the total cost of credit, which adds insurance and fees.
What compounding do banks use?
It depends on the product, the institution and the country. Check the contract or ask directly.
Does this rate include taxes or insurance?
No. It only converts interest rates. For the full cost, use the total cost of credit calculator.
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