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APY Calculator

Convert an interest rate (APR) into annual percentage yield (APY) and see what your savings earn in a year.

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Results update as you type.

APY

4.594%
Interest earned in 1 year
$459.40
Balance after 1 year
$10,459.40
Extra from compounding
$9.40

Results are estimates for planning and are not financial advice.

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How to calculate apy

APY = (1 + r ÷ n)^n − 1, where r = stated rate and n = compounding periods per year

Worked example. APY: 4.594%.

Example inputs — Stated interest rate (APR %): 4.5; Compounding: Monthly; Deposit: $10,000. Starting values are illustrative.

From George Guju, founder of Calculyn · Educational calculator guidance, not professional advice.

How it works

APY shows what you actually earn in a year once interest compounds. The more often interest compounds, the higher the APY compared with the stated rate.

Using the apy estimate

Annual percentage yield converts a stated annual rate into the growth produced by repeated compounding over one year. This calculator helps compare nominal rates with different compounding schedules on a consistent basis. It also translates the yield into dollar interest on a deposit. A higher APY under the model describes the mathematics of the stated terms, not proof that an account is suitable or that the rate will remain in place.

Step-by-step inputs

  1. Stated interest rate (APR %). Enter the nominal annual stated rate before compounding. An already-advertised APY should not be entered here to compound it a second time. Starting example: 4.5 .
  2. Compounding. Choose how often the stated rate compounds. This is separate from how often you contribute money or receive statements. Starting example: Monthly .
  3. Deposit. Enter a balance held throughout the modeled year. Additional deposits and withdrawals are not included. Starting example: $10,000 .

Worked example with the starting values

Using the starting inputs, the estimate is APY: 4.594% .

The annual rate is divided among the selected compounding periods. Each period's growth then earns growth in subsequent periods. The extra-from-compounding line compares annual compound interest with simple interest at the same nominal rate and starting balance.

Interest earned in 1 year
$459.40
Balance after 1 year
$10,459.40
Extra from compounding
$9.40

Compare stated interest rate (apr %) scenarios

All other inputs stay at their starting values. These are modeled comparisons, not quotes, predictions or individual recommendations.

Stated interest rate (APR %)APY
3.5 3.557%
4.5 4.594%
5.5 5.641%

Make a useful comparison

Compare accounts using quoted APY where available, then verify the balance and eligibility conditions. A promotional yield may depend on a minimum balance, qualifying activity or a limited time window. This tool cannot determine whether those conditions apply.

Use the dollar-interest breakdown to put small yield differences in context. More frequent compounding increases effective yield at a fixed positive nominal rate, but the extra dollars depend on the deposit size. Fees can outweigh a small compounding advantage.

Keep deposit yield separate from borrowing APR comparisons. Both may be annual percentages, but disclosures can include different fees and conventions. This calculator's APR-labeled field is used as a nominal interest-rate input, not a complete borrowing-cost disclosure.

Common mistakes to avoid

  • Do not compound an effective annual yield again. That would overstate what the quoted account terms imply.
  • The one-year dollar estimate assumes a constant balance apart from retained interest and a constant rate. Withdrawals, rate tiers or rate changes need a different projection.
  • Taxes and account fees are not deducted. The displayed interest is modeled gross growth, not necessarily spendable net earnings.

Assumptions & limitations

  • Results are rounded for display.

Formula and assumptions reviewed October 2026 by the Calculyn team. How we build our calculators

Frequently asked questions

What's the difference between APR and APY?

APR is the simple yearly rate. APY includes the effect of compounding, so it's always equal to or higher than APR.

Why do banks advertise APY?

For savings, APY is the higher and more accurate number, and US banks are required to disclose it.

Does monthly compounding mean monthly deposits?

No. Compounding describes when interest earns more interest. This model has one starting deposit and no additional contributions.

Why is APY higher than the stated rate?

At a positive nominal rate compounded more than once per year, interest earned earlier can earn more interest before year-end.