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APR to APY

Convert between APR and APY for a compounding rate.

Free to use, no sign-up required. APR to APY is one of 198 tools built into Xenition, alongside a chat that can use them for you.

Converts a nominal annual rate (APR) to the effective yearly rate (APY) for a chosen compounding frequency, or back again. It is useful for comparing savings accounts or loans quoted in different ways.

How to use APR to APY

  1. Choose APR → APY or APY → APR.
  2. Enter the Nominal APR or the Effective APY as a percentage.
  3. Pick the Compounding: Daily (365), Monthly, Quarterly, Semi-annually or Annually.
  4. Read both rates and how many points compounding adds.

How it works

APY = (1 + APR ÷ n)^n − 1, where n is the number of compounding periods a year. The reverse is APR = n × ((1 + APY)^(1 ÷ n) − 1). Results show up to four decimals.

Example

A 12% APR compounded monthly is an APY of 12.6825%, 0.6825 points higher. Compounded daily, the same 12% gives 12.7475%. Going the other way, a 5% APY with monthly compounding is a 4.8889% APR.

Questions about APR to APY

Which number should I compare between banks?

Compare APY for savings, because it already includes compounding and shows what you actually earn in a year. Two accounts with the same APR can have different APYs.

Are APR and APY ever the same?

Yes, when interest compounds once a year. The more often it compounds, the further APY moves above APR.

Use it from chat

You do not have to open APR to APY to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.

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