Compound Interest Calculator

See the power of compounding from principal, annual rate and term.

How it is calculated

The balance after compounding is A = P × (1 + r/n)n×t, where P is the starting principal, r the annual rate as a decimal (the tool divides your percentage by 100), n the number of compounding periods per year and t the term in years. Interest earned is A − P. The principal, term and frequency must be greater than zero and the rate cannot be negative, otherwise no result is shown. The tool models a single lump sum with no further deposits, no tax and no fees, and results are shown in dollars rounded to cents.

Worked example

Take a principal of $10,000.00 at 6% a year, compounded monthly (n = 12) for 10 years. The periodic rate is 0.06 / 12 = 0.005, and there are 12 × 10 = 120 periods. The growth factor is 1.005120 ≈ 1.8194. Multiplying: A = 10,000 × 1.8194, which gives a final amount of $18,193.97. Interest earned is 18,193.97 − 10,000 = $8,193.97.

Try this example →

Common mistakes

  • Entering the rate as a decimal (0.06) instead of a percentage (6); the tool expects the percentage.
  • Entering the term in months while the field is in years, which hugely understates growth.
  • Using the nominal annual rate of an account that quotes an effective yield (APY); the two are not the same number.
  • Expecting the result to include regular monthly deposits; this tool grows one lump sum only.
  • Forgetting that inflation and tax reduce the real value of the final amount.

Sources

About this calculator

Compound interest describes what happens when the interest an amount earns is added back to the balance, so future interest is calculated on a growing base rather than just the original sum. This calculator projects that snowball effect forward using the principal, the rate, how often interest is compounded, and the length of time, showing how the growth curve steepens the longer the money stays invested.

It is used by savers comparing deposit accounts, investors estimating how a lump sum might grow, and students learning why starting early matters more than the rate itself in many cases. It also helps illustrate the flip side, since the same math applies to debt that accrues interest on unpaid interest.

Was this helpful?

You can pick up to 3 reactions.

Comments (1)

  • Editorial team

    When you compare two savings offers, look past the headline rate and check how often each one compounds. The rate you enter here is the nominal annual rate, so 6% compounded monthly really grows at about 6.17% a year, because 1.005 to the 12th power is roughly 1.0617. Run both offers with the same principal and term and compare the final amounts. Which compounding schedule does your account use?

Popular calculators

All Calculators