EAR Calculator - Effective Annual Interest Rate

Convert a nominal annual interest rate and compounding frequency into the effective annual rate earned or paid over one year.

Choose how often interest compounds to see the annual rate that reflects compounding rather than the quoted nominal rate.

EAR Calculator - Effective Annual Interest Rate
Convert a nominal annual interest rate and compounding frequency into the effective annual rate earned or paid over one year.

About the EAR Calculator

The effective annual rate, or EAR, shows the actual annual impact of a quoted nominal rate after intra-year compounding. This EAR Calculator converts a nominal annual percentage and a compounding frequency into a rate that can be compared fairly across savings accounts, loans, bonds, and other interest-bearing products. A nominal rate alone does not show the full picture when interest is added to the balance more than once each year. Monthly or daily compounding lets earlier interest earn additional interest before the year ends, making the effective annual rate higher than the stated nominal rate when the rate is positive. The formula is EAR equals one plus the nominal rate divided by the number of compounding periods, raised to that number of periods, minus one. A nominal 12% rate compounded monthly becomes approximately 12.68% effective annually: each month earns 1%, and the balance grows slightly on prior months' interest. With annual compounding, the nominal and effective rates are the same because interest is added only once. The calculator also displays the periodic rate and the number of compounding periods so the relationship is transparent. Use EAR when comparing products that quote rates with different frequencies. A 6% nominal rate compounded monthly is not directly equal to a 6% rate compounded annually. Read account disclosures carefully because banks may use terms such as APY, annual equivalent rate, or effective annual yield, while loans can use APR with fee and compounding conventions that differ by jurisdiction. The calculation here isolates compounding only. It does not include origination fees, account fees, promotional-rate conditions, taxes, withdrawals, late charges, or minimum-balance requirements. For borrowing decisions, a higher EAR generally represents a higher annual cost when all else is equal. For deposits or investments, a higher effective rate may generate more interest, but liquidity, deposit protection, credit risk, maturity, and access restrictions still matter. Enter percentages as ordinary percentage values, so type 8.5 for 8.5%, not 0.085. The calculator provides a mathematical comparison, not a product recommendation or a replacement for contract terms. For long time horizons, test several rates and remember that compounding frequency affects the annual rate less than a material difference in the nominal rate itself.

EAR Examples

The same nominal rate produces different effective rates as compounding becomes more frequent.

InputsOutputNotes
12% nominal rate; annual compounding12.00% EAROne compounding period leaves no intra-year interest on interest.
12% nominal rate; monthly compounding12.68% EARThe periodic rate is 1% for 12 months.
8.5% nominal rate; daily compounding8.87% EARDaily compounding adds a modest additional return.

How to Use the EAR Calculator

  1. Enter the quoted nominal annual interest rate as a percentage.
  2. Select annual, semiannual, quarterly, monthly, or daily compounding.
  3. Select Calculate to convert the quoted rate to its effective annual rate.
  4. Use the effective rate to compare products with different compounding schedules.

EAR Calculator FAQ

Is EAR the same as APY?
Often, yes. APY generally communicates an effective annual deposit yield, although product disclosures and legal definitions should control.
Why is EAR higher than the nominal rate?
With more than annual compounding, each period's interest becomes part of the balance. Later periods then earn interest on that earlier interest.
Does this calculate loan APR?
It converts a nominal rate using compounding only. APR can include fees and follows product-specific disclosure rules.
Which frequency should I choose?
Use the frequency stated in the account agreement or loan disclosure. Do not assume monthly compounding unless the product says so.

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