Compound Interest Calculator

Calculate compound interest growth with yearly breakdown and multiple compounding frequencies.

Compound Interest Calculator
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📐 How to Use

  1. Enter the initial principal (starting amount).
  2. Set the annual interest rate and select how often it compounds.
  3. Enter the investment period in years.
  4. Optionally add regular contributions (monthly or yearly).
  5. Results and the year-by-year table update instantly.

🎯 When to Use This

  • Comparing a monthly-compounding deposit against a quarterly one at the same headline rate, where the year-end table makes the gap visible.
  • Estimating what a recurring deposit might reach over a fixed number of whole years, with the contribution field set to a monthly amount.
  • Teaching the difference between simple and compound growth, since the yearly table separates contributions from interest earned in each row.
  • Setting a savings target by adjusting the rate and the period until the final value lands near the amount you have in mind.

❓ Frequently Asked Questions

QWhat is compound interest?
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. Unlike simple interest, it grows exponentially over time.
QHow does compounding frequency affect growth?
The more frequently interest compounds, the more you earn. Daily compounding earns slightly more than monthly, which earns more than annual — though the difference shrinks at lower rates.
QWhat is the Rule of 72?
Divide 72 by the annual interest rate to estimate how many years it takes to double your investment. At 8% interest, your money doubles in roughly 72 ÷ 8 = 9 years.
QWhat is the difference between APR and APY?
APR (Annual Percentage Rate) is the nominal rate. APY (Annual Percentage Yield) accounts for compounding within the year — it is always equal to or higher than APR.

ℹ️ About This Calculator

Compound interest pays interest on interest, so growth is exponential rather than linear: A = P(1 + r/n)^(nt), where n is the number of compounding periods in a year. Frequency matters because each period's closing balance becomes the next period's base, which is why monthly compounding beats annual compounding at the same stated rate, by a margin that widens as the rate rises.

Rather than evaluating that formula once, this tool steps through the term year by year and period by period, which is what lets it print an annual table. Contributions are handled two ways: when they are at least as frequent as compounding, the per-period amount is added before interest is applied; a yearly contribution under more frequent compounding is added once at the end of each year. Outputs are the final value, total invested, total interest and the yearly rows.

⚠️ Notes & Limits

  • The term is truncated to whole years, so entering 2.5 years computes two years. Express a part-year tenure in whole years to get a meaningful result.
  • When contributions are more frequent than compounding, such as monthly deposits with annual compounding, the whole year's contributions are added at the start and earn a full year of interest.
  • Nothing here accounts for tax, inflation, fees or a rate that changes partway through; the rate you enter is applied unchanged for the entire term.
  • The rate must be above zero, and the output is a projection from your assumptions rather than a guaranteed return on any actual product.