APR to APY Interest Rate Converter

Convert nominal APR to effective annual APY (and APY to APR). Calculate real interest yield and cost with daily, monthly, quarterly, semi-annual, and continuous compounding.

Input Parameters
Calculation Result
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Enter values to see real-time calculation.
⚖ Disclaimer: Results and formulas are estimates for informational and educational purposes only. They do not constitute certified tax, legal, or financial advice. Legal Disclaimer →

How to Use the APR to APY Interest Rate Converter

  1. Enter the nominal APR or effective APY percentage.
  2. Select compounding frequency (Daily 365, Monthly 12, Quarterly 4, or Continuous).
  3. Choose conversion direction (APR → APY or APY → APR).
  4. View the converted yield rate and annual dollar return on $10,000.

Key Features & Capabilities

  • Mathematical precision with daily (365x), monthly (12x), quarterly (4x), and continuous compounding.
  • Bidirectional converter: APR to APY and reverse APY to APR.
  • Dollar impact calculation showing real cost/yield on a $10,000 deposit or balance.

Technical Architecture & Privacy

APR to APY Interest Rate Converter is engineered with a focus on performance, mathematical accuracy, and maximum user privacy. Operating entirely in-browser on the client side, all processing takes place locally within your browser's JavaScript engine. None of your financial numbers, text entries, or private inputs are ever transmitted to or stored on remote servers.

Frequently Asked Questions

What is the formula to convert APR to APY? ▾

APY = (1 + APR / n)^n - 1, where n is the number of compounding periods per year.

Why is APY higher than APR? ▾

APY accounts for compound interest (earning interest on interest throughout the year), whereas APR only reflects the simple nominal rate.

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