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Compound Interest Calculator

See how an initial deposit and regular contributions grow over time.

Result —

About this calculator

Compound interest is interest earned on interest. It turns small, consistent saving into significant wealth over time and is the single most important concept in personal finance. This calculator lets you model exactly what your savings or investment will be worth after any number of years.

How it works

Every compounding period — annually, quarterly, monthly or daily — the calculator adds interest on the current balance, then folds it back into the principal. Next period’s interest is then calculated on the new, larger balance. That feedback loop is what creates exponential growth.

Compounding frequency matters less than you’d think. Going from monthly to daily compounding makes a tiny difference at typical interest rates. Time and contributions matter far more than how often the interest is paid in.

Regular contributions massively amplify the result. Adding a small amount each month, every month, for decades produces vastly more than a single lump sum because each contribution gets the benefit of compounding from the moment it’s made.

Inflation eats into nominal returns. A 7% return at 3% inflation is really about a 4% real return. Always think in real (inflation-adjusted) terms when planning long-horizon goals.

Formula

FV = P · (1 + i)^n   +   C · ( (1 + i)^n − 1 ) / i

FV = future value
P  = initial principal
C  = contribution per period
i  = rate per period = annual rate / compounds-per-year
n  = total number of periods = years × compounds-per-year

Examples

10,000 invested for 20 years at 7%

Left alone for 20 years at 7% compounded monthly, 10,000 grows to about 40,387 — roughly four times the original amount.

Result: Final balance ≈ 40,387 — Interest earned ≈ 30,387

Same lump sum + 200 per month

Adding 200 each month for 20 years pushes the same starting amount to about 144,580 — more than triple the lump-sum-only result.

Result: Final balance ≈ 144,580 — Interest earned ≈ 86,580

Frequently asked questions

What rate should I use? +
Use a conservative long-run estimate for your investment mix. Broad equity indexes have historically delivered 6–8% real returns; a savings account currently delivers 3–5% nominal.
Does this model real returns or nominal? +
Nominal. If you want real returns, subtract your expected inflation rate from the input rate before running the calculator.
How does compounding frequency change the result? +
Less than you’d think. Monthly vs daily compounding rarely changes the final balance by more than a fraction of a percent at normal rates. Time and contributions dominate.
Are contributions added at the start or end of each period? +
End-of-period (ordinary annuity). Start-of-period (annuity due) would multiply each contribution’s growth by an extra (1 + i), giving a slightly higher result.
Does it account for taxes? +
No. In a taxable account, taxes on interest and dividends reduce the effective compounding rate. Tax-advantaged accounts (such as an ISA, 401(k), Riester) compound tax-free or tax-deferred.

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