Nominal and Effective Interest Rate Calculator
Runs locally in your browser. Nothing leaves your device.Convert nominal, effective, periodic and continuously compounded interest rates using the compounding frequency.
Convert rates between nominal, effective, periodic and continuous compounding.
Mathematical effective annual rate
5.1162%
- Rate per period
- 0.4167%
- Nominal annual rate
- 5.0000%
- Effective annual rate
- 5.1162%
- Continuous annual rate
- 4.9896%
- Annual factor
- 1.0512
- Compounding effect
- 0.1162%
Compare equivalent rates
| Compounding frequency | Rate per period | Nominal annual rate | Effective annual rate |
|---|---|---|---|
| Annual (1×) | 5.1162% | 5.1162% | 5.1162% |
| Semiannual (2×) | 2.5262% | 5.0524% | 5.1162% |
| Quarterly (4×) | 1.2552% | 5.0209% | 5.1162% |
| Monthly (12×) | 0.4167% | 5.0000% | 5.1162% |
| Weekly (52×) | 0.0960% | 4.9920% | 5.1162% |
| Daily (365×) | 0.0137% | 4.9900% | 5.1162% |
| Continuously compounded annual rate | — | — | 5.1162% |
This result covers mathematical compounding only. Fees, payment timing and statutory total-cost measures such as APR, APRC, TAEG or TAE are not included.
How it works
- 1
Choose the rate and input type
Enter the known rate and choose whether it's nominal, effective, periodic, or continuous.
- 2
Set the compounding frequency
Choose annual, monthly, daily, or a custom number of periods.
- 3
Compare equivalent rates
See all four equivalent rates side by side and copy the result.
Good to know
The nominal-effective interest rate calculator converts directly in your browser between nominal, mathematically effective, periodic, and continuous annual rates. The formulas p = j/m for the periodic rate, e = (1+p)^m − 1 for the effective rate, and c = ln(1+e) for the continuous rate apply.
Calculation runs locally in the browser. Important: the result reflects only mathematical compounding — fees, payment timing, and legal all-in-cost metrics such as APR, APRC, TAEG, or TAE are not included.
Typical use cases
Compare loan offers with different compounding
Convert nominal rates with different compounding frequencies into effective annual rates to compare offers fairly.
Derive the periodic rate for a finance formula
Convert a nominal annual rate into the periodic rate that a finance formula or spreadsheet model expects.
Tips for better results
Don't confuse with legal APR/TAEG
The effective annual rate calculated here is purely mathematical; legally mandated all-in-cost metrics such as APR, APRC, TAEG, or TAE additionally include fees.
Choose the compounding frequency carefully
The result depends heavily on the chosen compounding frequency — check which one your contract or formula actually assumes.
Features
Four rate types
Nominal, mathematically effective, periodic, and continuous are available.
Exact formulas shown
p = j/m, e = (1+p)^m − 1, and c = ln(1+e) are shown transparently.
Calculate locally
Calculation happens entirely in the browser, without transmission to a server.
Frequently asked questions
Is the effective annual rate here the same as the legal APR?
No. The value calculated here is purely mathematical; legal metrics such as APR, APRC, TAEG, or TAE additionally include fees and other requirements.
Are my inputs uploaded?
No. Calculation runs entirely locally in the browser.
More tools
Looking for another tool?
Every tool runs locally in your browser – no sign-up, no upload, and it works offline.