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Periodic Interest Rate

Break down an annual interest rate into its equivalent monthly, daily, or other periodic rate.

Rate Information

%

Periodic Interest Rate Results

Periodic Interest Rate

Decimal Form

Effective Annual Rate

Rate Comparison

Frequency Periods/Year Periodic Rate Effective Annual Rate

Understanding Periodic Interest Rates

What is a Periodic Interest Rate?

A periodic interest rate is the interest rate charged or earned over a specific period, such as monthly or quarterly. It's calculated by dividing the annual rate by the number of compounding periods per year.

Key Formulas

Periodic Rate:
r = APR / n
Effective Annual Rate:
EAR = (1 + r)ⁿ - 1

Where:

  • r = Periodic interest rate
  • APR = Annual Percentage Rate
  • n = Number of compounding periods per year
  • EAR = Effective Annual Rate

Common Applications

  • Credit card interest calculations
  • Mortgage and loan payments
  • Investment return calculations
  • Savings account interest

Important Notes

  • More frequent compounding increases effective rate
  • APR differs from effective annual rate with compounding
  • Used in loan amortization and investment calculations

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