APY Calculator
The APY Calculator computes apy from the relation APY = (1 plus nominal rate divided by n) raised to n, minus 1, times 100. It takes 2 inputs (nominal annual rate in %, compounding periods per year) and returns the apy. These calculators are for people working through everyday money questions: judging whether a price or an offer is worth taking, working out who owes what on a shared bill or cost, and comparing what one borrowing option costs against another, so the number feeds a concrete decision about spending, splitting or borrowing. Enter your values below and the result updates instantly, and you can share a permalink that pre-fills the exact calculation. Enter every amount in the same currency, and where a calculator uses a rate or a period, keep those on one consistent basis (monthly figures with monthly, annual with annual); be clear about whether each amount is before or after tax and fees, and round only the final figure rather than rounding at each step. For example, with nominal annual rate = 5 %, compounding periods per year = 1, the apy works out to 5, and the worked example further down the page shows every step so you can follow the arithmetic and reproduce it by hand. The method is the standard form documented by CalculatorHub methodology, and the figure above each result carries the date it was last verified. The result is arithmetic on the amounts you type in, so what you actually pay or receive can differ once a seller's or lender's own rounding, fees, minimum charges and contract terms apply; use it as a working figure for your own planning and check it against the offer, statement or agreement in front of you.
With Nominal annual rate = 5 %, Compounding periods per year = 1, the result is 5.
Applies to: any numeric inputs. Method source: CalculatorHub methodology, checked 2026-06-23.
The formula
APY = (1 plus nominal rate divided by n) raised to n, minus 1, times 100
Worked example
With Nominal annual rate = 5 %, Compounding periods per year = 1:
- Divide rate by periods: 5 / 100 / 1
- Add 1 and raise to the power of 1
- Subtract 1 and multiply by 100
- APY = 5.000000000000004 percent
- APY = 5
This worked example is one of the automated golden-value tests this calculator must pass before it can publish.
What this assumes
- Inputs are real numbers in the units shown.
- The result is the exact value of APY = (1 plus nominal rate divided by n) raised to n, minus 1, times 100; general information, not professional advice.
Frequently asked questions
What formula does this use?
APY = (1 plus nominal rate divided by n) raised to n, minus 1, times 100, the standard form documented by CalculatorHub methodology.
Does the result ever change over time?
No. This is a pure formula with no external rate, so the same inputs always give the same result.
Official sources and verification
- Method: CalculatorHub methodology, checked 2026-06-23.
Reviewed by the CalculatorHub team, edited by James Graham, 2026-06-23. See our methodology. General information, not professional advice.