Free tool

Interest rate calculator — turn a nominal APR into the true effective rate

Enter a nominal annual rate and pick a compounding frequency. We show the effective annual rate (APY), the per-period rate, how long it takes to double, and the future value of a starting balance.

Enter a nominal rate to see the effective annual rate and future value.

Computed entirely in your browser. Nothing is uploaded.

Runs in your browser
No upload, no signup. Your file never leaves your device.
Free and unmetered
Use it as often as you need. No daily quota, no credit card.
EU-built, GDPR-first
Hosted in Frankfurt. Built by a small EU team that takes privacy seriously.

Nominal vs effective: why the two numbers differ

A nominal annual rate is the headline number on a loan or savings account — for example, 12% per year. The effective annual rate (often called APY for deposits, EAR for loans) is what you actually earn or owe once compounding is factored in. Compound the same 12% monthly instead of once a year and the effective rate becomes 12.6825% — you earn interest on interest twelve times per year instead of once.

The formula is straightforward: EAR = (1 + r/n)^n - 1, where r is the nominal annual rate and n is the number of compounding periods per year. As n grows toward infinity (continuous compounding), the formula collapses to EAR = e^r - 1.

Why it matters when you read a bank statement

Most consumer credit-card statements quote a nominal APR but actually charge interest daily. A 19.99% nominal APR compounded daily lands at 22.13% effective — the gap is real cash you owe. Mortgages in the EU usually publish the effective rate (TAEG / AER) by law so consumers can compare apples to apples; US statements still default to nominal APR.

If you're reconciling a credit-card or revolving-credit statement in our main converter, paste the issuer's nominal APR here first to sanity-check the actual interest charge line.

The five compounding frequencies you'll see in the wild

  • Annually (1×): Old-school savings bonds and most EU government-issued retail bonds. Effective = nominal.
  • Semi-annually (2×): Most US Treasuries and many corporate bonds. A 6% nominal becomes 6.09% effective.
  • Quarterly (4×): Common on EU business-loan and fixed-deposit products. A 6% nominal becomes 6.136% effective.
  • Monthly (12×): Mortgages, personal loans, most savings accounts. A 6% nominal becomes 6.168% effective.
  • Daily (365×) or continuous: Credit cards and some money-market funds. A 6% nominal becomes ~6.183%. The gap between daily and continuous is tiny — under 0.001 pp.

Reading the results

  1. Effective annual rate: the number to compare across products. Always use this — never compare a nominal rate to an effective one.
  2. Per-period rate: what each compounding step actually applies. Useful for verifying line items on a statement (the monthly interest line on a credit card, for instance).
  3. Time to double: exact closed-form value of ln(2) / ln(1 + EAR). The rule-of-72 approximation is within a few months for rates between 4% and 12%.
  4. Future value: simple compounding — P × (1 + EAR)^years. No deposits, no withdrawals. For more complex cashflows, you want an annuity calculator.

What this calculator does not do

We compute pure compound-interest figures. We do not model ongoing deposits or withdrawals (annuities), tax drag, inflation, or amortising loan schedules with fees. If you need an amortisation schedule for a mortgage, a dedicated mortgage calculator from your bank or central bank will be more honest about front-loaded interest.

For analysing actual statement transactions and verifying the interest charged matches the published rate, drop your statement PDF into our bank statement converter first — get the transactions into a spreadsheet, then come back here to cross-check the rate math.

FAQ

What is the difference between APR and APY?
APR is the nominal annual rate before compounding. APY (also called effective annual rate or EAR) is what you actually earn or owe per year once compounding is applied. APY is always >= APR; they are equal only when interest compounds exactly once per year.
Which compounding frequency should I pick?
Match it to the product. Credit cards almost always compound daily. Most mortgages and personal loans compound monthly. EU retail bonds and many fixed deposits compound annually or semi-annually. If the contract doesn't say, default to the billing cycle — monthly for monthly statements, daily for revolving credit.
Why is the per-period rate so much smaller?
Because it is applied many times. A 12% nominal APR compounded monthly applies a 1% rate twelve times — and the compounding of those 1% steps lifts the effective rate from 12% to 12.6825%.
Is the 'rule of 72' the same as time-to-double?
Close but not identical. The rule of 72 is a mental-math shortcut — 72 divided by the rate gives an approximate doubling time. The exact value is ln(2) / ln(1 + EAR). For rates between 4% and 12% the rule of 72 is within a few months; outside that range the error grows.
Does the future value account for taxes or inflation?
No. It is the nominal future value at the effective rate. To get real (inflation-adjusted) returns, subtract the expected inflation rate from your nominal rate before computing. Taxes vary by country and account type — we don't model them.
Can I use this for a loan instead of a deposit?
Yes — the math is identical. A 19.99% credit-card APR compounded daily costs you 22.13% effective per year on revolving balances. That gap is exactly the compounding premium the issuer earns.

Related tools and guides