Interest Rate Converter

Category: Asset-Class Converters

Convert between Annual Percentage Rate (APR) and Effective Annual Rate (EAR) to understand the true cost of loans and investments

Rate Conversion

%
Effective Annual Rate (EAR)
5.12%
The true annual return accounting for compounding
%
Annual Percentage Rate (APR)
4.89%
The nominal annual rate without compounding

Comparison

APR vs. EAR over Different Compounding Frequencies

APR to EAR Conversion Table

Compounding APR: 5.00% Effective Rate Difference

Conversion Formulas

APR to EAR Formula:

EAR = (1 + APR/n)n - 1

Where n is the number of compounding periods per year. For continuous compounding, the formula is: EAR = eAPR - 1

EAR to APR Formula:

APR = n Ă— ((1 + EAR)1/n - 1)

Where n is the number of compounding periods per year. For continuous compounding, the formula is: APR = ln(1 + EAR)

Understanding Interest Rate Conversions

When analyzing loans, investments, or financial products, understanding the difference between APR and EAR is crucial for making informed decisions. These rates may seem similar, but they represent interest in fundamentally different ways.

Annual Percentage Rate (APR)

  • Simple interest rate: Does not account for compounding
  • Nominal rate: The stated interest rate without considering frequency of compounding
  • Required for loans: In many countries, lenders must disclose APR by law
  • Linear calculation: Easy to calculate but doesn't show the true cost over time

Effective Annual Rate (EAR)

  • Compound interest rate: Accounts for the effects of compounding
  • True annual cost: Reflects the actual amount paid/earned over a year
  • Comparison tool: Allows accurate comparison between different compounding frequencies
  • Always higher: EAR is always higher than APR (except for annual compounding)

Practical Examples

Credit Card Example

A credit card with 18% APR compounded monthly has an EAR of 19.56%. This means you'll actually pay 19.56% interest over a year if you don't pay your balance in full each month.

Savings Account Example

A savings account offering 2% APR with daily compounding has an EAR of 2.02%. The difference is small but becomes more significant with higher interest rates or longer time periods.

Investment Example

An investment promising 8% APR compounded quarterly has an EAR of 8.24%. When comparing investments, using EAR provides a more accurate picture of your actual returns.

APR vs EAR: Why That Small Percentage Difference Could Cost (or Earn) You More

You've just converted between Annual Percentage Rate (APR) and Effective Annual Rate (EAR) using our tool. The numbers may look close—but that slight difference carries more weight than it seems. Whether you're evaluating a credit card offer or projecting investment returns, understanding the dynamic between APR and EAR can shape smarter financial decisions and uncover hidden costs or advantages.

Key Takeaways from Your APR/EAR Conversion

  • APR is the advertised rate: It doesn’t account for compounding. It’s the sticker price of interest rates.
  • EAR is the actual rate: It reflects the true annual cost or yield after factoring in compounding frequency.
  • The more frequently compounding occurs, the wider the gap: Monthly or daily compounding will push EAR noticeably higher than APR.
  • Continuous compounding exaggerates the difference: A nominal 5% APR becomes approximately 5.13% EAR when compounded continuously.

APR and EAR in Focus: Why Traders and Investors Should Pay Attention

For traders, analysts, and long-term investors, the APR vs EAR distinction isn't just technical—it affects portfolio performance, borrowing strategies, and comparative yield assessments. Here’s why that nuance deserves attention:

  • Loan comparisons: Two lenders offering 6% APR may not be equal if one compounds monthly and the other quarterly.
  • Margin accounts: When borrowing funds for leveraged trades, the EAR gives the clearer picture of your cost basis.
  • Yield chasing: EAR helps normalize different products for apples-to-apples comparisons, whether it's a bond, ETF, or fixed deposit.
  • Swap and carry trades: Interest differentials matter. Using EAR gives a better estimate of what you’re earning (or paying) to hold a position over time.

Signals to Watch in Your Output

  • EAR is much higher than APR: You’re looking at frequent compounding. This can magnify long-term costs or returns significantly.
  • Small differences (under 0.1%): These show up with annual or semi-annual compounding. Less frequent, less impactful.
  • Watch for daily or continuous compounding: Often seen in credit products and certain derivatives, these can create a meaningful discrepancy over time.
  • Bi-weekly and weekly structures: Often used by lenders to squeeze more interest from repayments—watch how that changes your EAR.

Risks of Ignoring Compounding Differences

Traders typically obsess over basis points, yet many overlook how frequently compounding occurs. That blind spot can lead to mispriced expectations and thinner margins.

  • Misjudging cost of carry: If you calculate APR on a margin loan without converting to EAR, you may be underestimating your expense.
  • Overpaying for credit: Products marketed with low APRs may feel cheap—until the compounding effect creeps in.
  • Underestimating long-term growth: EAR gives a better projection for reinvested income or compounded returns.
  • False equivalency: Comparing products across geographies or institutions without converting to a consistent rate type could result in poor trade execution.

Tips for Making the Most of This Data

  • Always convert to EAR for investments: This accounts for compounding and gives the real return.
  • Use APR when budgeting loan payments: Since most loans are amortized using APR, it's better for short-term payment planning.
  • Use consistent benchmarks: Don’t compare a monthly-compounded APR to a quarterly-compounded one. Convert both to EAR or standardize APR assumptions.
  • Factor in continuous compounding for derivatives: Many pricing models use this structure, and understanding it gives you better insight into fair value.
  • Re-check with rate changes: When interest rates shift, EAR will move differently depending on compounding. Update your figures accordingly.

Next Steps with Your APR and EAR Output

Now that you've seen the real annual impact through your EAR or APR result, take the next step with more clarity. Whether you’re evaluating a fixed deposit’s return or a margin loan’s drag, use EAR to reflect the actual gains or costs over time. And when shopping for loans or comparing broker offerings, double-check if the rates are APR or EAR—and convert them accordingly.

The difference might only be a few tenths of a percent, but when magnified by leverage, time, or scale, it can tip the balance between a winning and losing position. Use these insights to refine your edge in both personal finance and trading strategy.