Interest calculator
APR to APY Calculator
Convert a stated APR into an estimated APY by adding compounding frequency. This APR to APY calculator is built for convert APR to APY and APR APY calculator intent, giving you the fast tool result here while deeper terminology and product-context explanation stay on the guide pages.
Updated: July 12, 2026
Convert APR to APY
This insight updates after calculation.
APR to APY formula
The calculator uses this compounding formula:
APY = (1 + APR ÷ compounding periods)compounding periods - 1
APR is the stated nominal annual rate. APY is the effective annual yield after compounding. Compounding frequency tells the calculator how often interest is credited during the year. The formula divides the APR by the number of compounding periods, compounds it for one year, then converts the result back into a percentage.
If you only need the conversion result, this calculator page is enough. If you want the broader terminology and disclosure context, keep that on the APR vs APY guide and use the effective annual rate calculator for a more general compounding view.
Worked example: same APR, different compounding
A 5.00% APR compounded annually stays at about 5.00% APY in this simplified model because interest is only credited once. The same 5.00% APR compounded monthly becomes about 5.12% APY. Compounded daily, it rises slightly more because interest is credited more often during the year.
On a $10,000 balance, the monthly example produces about $511.62 of one-year interest before fees, taxes, withdrawals, or rate changes. That is the practical reason people search `convert APR to APY`: the stated rate can look similar across offers while the effective annual yield changes when compounding frequency changes.
What changes the APY result the most
For this conversion, the two real drivers are the nominal APR and the compounding frequency. When APR is low, the spread between APR and APY can look small. As the nominal rate rises or compounding becomes more frequent, the spread becomes more noticeable.
That means the best way to use an APR to APY calculator is not just to run one number and stop. Compare annual, monthly, and daily compounding on the same nominal APR. Then compare what the spread means on a real balance. A small percentage gap can still matter in dollars if the balance is large or the yield runs for a full year.
If your goal is not formula checking but offer comparison, the next useful move is usually the APY comparison calculator. This page converts the label. The comparison page helps decide whether two yields are actually meaningfully different.
APR vs APY in plain English
APR is a stated annual rate. APY is an effective annual yield after compounding. More frequent compounding can make APY higher than APR when the APR is the nominal input. For borrowing products, official APR may include certain fees or disclosure rules, so a simple APR-to-APY conversion is not always a complete cost comparison.
For savings-style products, APR-to-APY is most useful when the headline rate is easy to compare but the compounding schedule is not. That is why the same conversion can help you compare savings accounts, money market products, and CD offers before you decide which yield page deserves a closer look. If you want the broader conceptual difference, read APR vs APY Explained. If you want to compare converted yields side by side, continue to the APY comparison calculator.
When this conversion is useful and when it is not
This conversion is useful when a disclosure gives you a nominal annual rate and a compounding schedule, but not the effective annual yield you really want to compare. It is especially useful for deposit-style products where the compounding effect is the main missing detail.
It is less useful when the product is a loan and the official APR includes fees or disclosure rules that do not behave like a simple deposit yield conversion. In those cases, this page can still illustrate compounding, but it should not be treated as a full borrowing-cost model. That is where the effective annual rate calculator or loan-specific pages become the better next step.
What this page excludes
- Fees, taxes, early-withdrawal penalties, and promotional rate rules.
- Variable-rate resets or product-specific disclosure frameworks.
- Loan amortization, minimum payments, and grace-period behavior.
- Balance tiers or rate caps that can change the practical result.
Questions this page answers best
- How do I convert APR to APY?
- Why is APY higher than APR?
- How much does monthly or daily compounding change the result?
- What is the one-year interest difference on a balance?
- When should I compare APR directly and when should I convert it first?
If your real question is label meaning, read APR vs APY Explained. If your real question is broad compounding math, continue to the effective annual rate calculator. If your real question is which savings-style offer is better, compare the outputs in the APY comparison calculator.
Common mistakes
- Entering an APY into the APR field and compounding it again.
- Using monthly compounding when the disclosure says daily, quarterly, or annual compounding.
- Assuming APY includes taxes, fees, early withdrawal penalties, or rate changes.
- Using the result as a product recommendation instead of a rate-math estimate.
Next steps
For the general finance term, use the effective annual rate calculator. To compare two converted yield scenarios side by side, use the APY comparison calculator. For savings-account comparison work, check the money market calculator after you convert the headline rate. For background, read APR vs APY Explained and Compound Interest Explained.
Rate-disclosure checklist
Result quality checklist
- Confirm whether the entered number is APR, APY, nominal rate, or effective rate.
- Use the compounding frequency shown in the real disclosure instead of guessing.
- Separate deposit-yield math from borrowing-cost math when comparing products.
- Check whether fees, intro offers, or penalties change the practical result.
- Do not treat a conversion result as a recommendation by itself.
Method and verification trail
- Method used: The entered APR is divided by the chosen compounding frequency, compounded for one year, and converted into an estimated effective annual percentage yield.
- Primary source type to verify: Account disclosures, rate sheets, bank or lender terms, CD or savings-product agreements, and official truth-in-savings or lending disclosures.
- What to verify in real documents: Whether the quoted rate is nominal APR or already APY, the exact compounding frequency, whether fees or promotional terms apply, and whether the product is a deposit account or a borrowing product.
- Scope limit: This page does not fully model fees, taxes, grace periods, penalty rules, variable-rate resets, or product-specific disclosure frameworks.
For site-wide methodology, review How We Calculate. For sourcing and corrections standards, review Editorial Policy.
FAQ
Is APY always higher than APR?
When APR is a nominal rate and compounding happens more than once per year, the calculated APY is usually higher. With annual compounding in this simplified model, they match.
How do I convert APR to APY?
Enter the nominal APR and the compounding frequency, then apply the APR-to-APY formula so the result reflects interest credited during the year.
Does this fully compare loan costs?
No. Borrowing costs can also depend on fees, balances, grace periods, penalties, and disclosure rules, so this page only covers the compounding math.
What compounding frequency should I enter?
Use the frequency stated in the disclosure or account terms, such as annual, quarterly, monthly, or daily.
Before comparing offers
- Confirm whether the quoted rate is APR, APY, nominal rate, or effective rate.
- Check whether fees or promotional periods change the practical result.
- Use the same compounding assumption when comparing two hypothetical rates.
If the rate is for a deposit product, also check whether the account has tiered balances, intro offers, or rate caps. A clean APR-to-APY conversion is only the first step before comparing real product terms.