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    Compound Interest Calculator

    Calculate compound interest online free with monthly contributions and daily, monthly or yearly compounding. Free online compound interest calculator.

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    About the Compound Interest Calculator

    A compound interest calculator shows how savings or investments grow when the interest you earn is added to the balance and starts earning interest of its own. Enter a starting amount, a monthly contribution, an annual interest rate and a number of years, and it returns the future value, how much of it you paid in and how much is interest, together with a year-by-year chart and table.

    It uses the standard formula A = P(1 + r/n)^(nt), where P is the starting amount, r the annual rate, n the number of compounding periods per year and t the number of years, and it adds every regular contribution with its own growth. You can choose daily, monthly, quarterly, semiannual or annual compounding, decide whether deposits are made at the start or the end of each period, and enter an inflation rate to see the result in today’s money.

    Use it to compare savings accounts and certificates of deposit, estimate a retirement or index-fund portfolio, set a target for a child’s education fund, or see how much starting a few years earlier changes the result. The figures are estimates: real returns vary, and taxes and fees are not included.

    When to use it

    • Projecting retirement savings with regular monthly deposits
    • Comparing savings accounts or deposits with different rates and compounding
    • Seeing how much inflation reduces the real value of future savings
    • Showing the effect of starting to invest 5 or 10 years earlier

    Worked examples

    10,000 at 7% for 20 years

    With monthly compounding and no further deposits it grows to about 40,387. Adding 200 a month brings the total to roughly 144,573, of which 58,000 is money you paid in.

    Does compounding frequency matter?

    At a 7% nominal rate, annual compounding earns 7% a year, monthly compounding an effective 7.229% and daily compounding 7.250% — a small difference compared with the rate itself and the time you stay invested.

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    Part of the toolkit

    How to use Compound Interest Calculator

    1. 1Enter your starting amount, how much you will add each month, the annual interest rate and the number of years
    2. 2Choose how often interest compounds (daily, monthly, quarterly, semiannually or annually) and when contributions are made
    3. 3See the future value, total contributions and interest earned, plus a year-by-year chart and table; add inflation to see the value in today's money

    Frequently asked questions

    What is the compound interest formula?▾

    A = P(1 + r/n)^(nt), where P is the starting amount, r the annual rate, n the number of compounding periods per year and t the years. Regular contributions are added on top as a growing annuity.

    How much will 10,000 grow in 20 years at 7%?▾

    With monthly compounding it grows to about 40,387. Adding 200 a month on top brings it to roughly 144,573 — the calculator shows the exact split between contributions and interest.

    Does compounding frequency make a big difference?▾

    A little. At 7% a year, monthly compounding gives an effective 7.229% and daily 7.250%, versus 7% with annual compounding. Contributions and time matter far more.

    What is the rule of 72?▾

    Divide 72 by the interest rate to estimate how many years money takes to double: at 8%, about 9 years. The calculator shows the exact doubling time for your rate.

    Should I account for inflation?▾

    Yes, for long horizons. Enter an expected inflation rate (for example 3%) to see what the future balance is worth in today's money.

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