APY to APR Converter

Convert Annual Percentage Yield to Annual Percentage Rate.

APY to APR Converter

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Conversion Results

APY (Input):
APR (Calculated):
Compounding:
Difference:

Quick Examples

Formula & Explanation

APR to APY Formula

APY = (1 + APR/n)^n - 1

APY to APR Formula (Inverse)

APR = n × ((1 + APY)^(1/n) - 1)

Where:

  • APY: Annual Percentage Yield (as decimal)
  • APR: Annual Percentage Rate (as decimal)
  • n: Number of compounding periods per year

Key Differences: APY vs APR

Annual Percentage Yield (APY)

  • • Includes the effect of compounding
  • • Shows actual annual return
  • • Always higher than or equal to APR
  • • Used for savings accounts and investments
  • • Standardized calculation method

Annual Percentage Rate (APR)

  • • Does not include compounding effects
  • • Simple annual interest rate
  • • Lower than or equal to APY
  • • Used for loans and credit cards
  • • May include fees and costs

Usage Tips

When to Convert APY to APR

  • • Comparing savings rates with loan rates
  • • Financial modeling and calculations
  • • Understanding the base interest rate
  • • Academic or theoretical analysis

Important Considerations

  • • Higher compounding frequency = bigger difference
  • • APY is always ≥ APR for positive rates
  • • Both rates are annualized
  • • Consider fees and terms in real scenarios

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