Nominal and Effective Interest Rate Calculator
Convert nominal, effective, periodic and continuously compounded interest rates using the compounding frequency.
Convert rates between nominal, effective, periodic and continuous compounding.
Calculation stays on this device
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.
Good to know
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.
Typical searches include nominal to effective rate, calculate effective annual rate, and periodic rate. 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.
How it works
How it works
Step by step
Features
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
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.
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