APY APR Converter
Convert between annual percentage yield and nominal annual percentage rate with common compounding assumptions.
How it works
APR and APY are both annual rate measures, but they answer different questions. APR is a nominal annual rate before compounding is folded into the annual figure. APY expresses the annual effective yield after compounding.
For periodic compounding, the converter uses the number of compounding periods in one year to move between the nominal rate and the effective annual yield.
APY = (1 + APR ÷ periods)periods − 1
APR = periods × ((1 + APY)1 ÷ periods − 1)
Continuous compounding uses the continuous-growth equivalents: APY = eAPR − 1 and APR = ln(1 + APY). The comparison table helps you see how the same source rate changes as compounding becomes more frequent.
Assumptions and limitations
This tool compares stated annual rates under simple periodic or continuous compounding assumptions. It does not model fees, teaser rates, rate tiers, changing balances, taxes, penalties, minimum balances, loan amortization, or account-specific disclosure rules.
Use the results for education and quick comparisons only. They are not financial, tax, legal, lending, or investment advice. Always compare against official account disclosures before making decisions.
All calculations happen locally in your browser. Your rates and assumptions are not sent to a server.
