Compound Interest Calculator

See how your money grows over time with the power of compounding — including optional monthly contributions.

Your inputs

$
$
7.0%
20 years

Monthly closely approximates most real-world accounts.

Future value
$170,619
$170,619.05 exact
Total contributions
$70,000
Principal plus monthly deposits
Interest earned
$100,619
7.23% effective APY

Balance over time

Total balance grows from principal + contributions + accumulated interest.

Contributions vs. interest

When your compounding starts doing more work than your deposits.

How this calculator works

The calculator uses the standard compound interest formula: A = P(1 + r/n)^(nt), where P is the starting principal, r is the annual interest rate as a decimal, n is the number of compounding periods per year, and t is the time in years.

When you include monthly contributions, we additionally sum the future value of an ordinary annuity: FV = PMT × ((1 + i)^m − 1) / i, where PMT is the monthly contribution, i is the monthly equivalent of your annual compounding rate, and m is the number of monthly contributions made.

The chart plots your projected balance year-by-year, with total contributions separated from interest earned so you can viscerally see when compounding begins to dominate your principal.

Understanding compound interest

Compound interest is one of the most powerful concepts in finance. Unlike simple interest, which is calculated only on your original principal, compound interest is calculated on both your principal and on previously accumulated interest. The effect is that your money earns interest, and then that interest itself starts earning interest — creating exponential growth over time.

Three variables control how much wealth compounding can build for you: your contributions, your rate of return, and the time horizon. Of the three, time is by far the most powerful lever. A 25-year-old investing $300/month at a 7% return for 40 years will end up with dramatically more than a 35-year-old making the same contribution for 30 years — even though the difference in total contributed is modest. That is the practical reason 'start early' is the most consistent advice in personal finance.

Compounding frequency also matters, though less than most investors assume. Moving from annual to monthly compounding slightly increases your effective yield, but the gap between monthly and daily compounding is typically negligible compared to small changes in the underlying rate. The defaults on this calculator use monthly compounding, which closely approximates how most index funds and savings accounts actually work in practice.

Use this calculator to compare scenarios quickly: raise the contribution by $100/month, extend the horizon by five years, or lower your expected return by a percentage point. The chart helps build intuition for which levers matter most for your situation.

Frequently Asked Questions

What return rate should I use as a default?
A common reference is the long-term average return of the S&P 500, which has been roughly 10% nominally and around 7% after inflation. We default to 7% as a realistic inflation-adjusted assumption, but the right number depends on your asset allocation. Use 5-6% for bond-heavy portfolios, 7-8% for diversified equity, and plan for actual historical volatility, not steady returns.
Does compounding frequency really matter?
Somewhat, but less than most people think. Monthly compounding at 7% produces an effective annual yield of about 7.23%, while daily compounding yields about 7.25%. The difference is a rounding error compared to changing your contribution rate or time horizon. We recommend monthly compounding as a realistic middle ground that approximates how most portfolios behave.
Why do small differences in rate matter so much?
Because compounding is exponential, small rate differences produce large end-balance differences over long horizons. A 6% return and an 8% return sound similar, but over 30 years, the 8% scenario finishes with roughly 80% more money than the 6% scenario. This is why keeping investment fees low is so important — a 1% expense ratio drag compounds just as aggressively as returns do.
Should I use nominal or real (inflation-adjusted) returns?
Both are useful. Nominal returns (about 10% historical for equities) show you the dollar amount you'll likely have. Real returns (about 7%) show you the inflation-adjusted purchasing power. For retirement planning, it is often more useful to think in real terms so you can compare future balances to today's dollar costs. For nominal projections, use 9-10%; for real, use 6-7%.
What happens if I stop contributing?
Your existing balance will keep compounding at the specified rate — which is the entire concept behind 'Coast FIRE.' Set the monthly contribution to zero to see how much your current balance grows on its own. The gap between that result and the version with ongoing contributions is what your recurring savings are buying you in the end.