The mechanics, in one paragraph
Compound interest means you earn returns on your past returns. In year one the growth comes almost entirely from your contributions; by the time the balance is large, the growth line outweighs the contribution line — your money out-earns your deposits. Run 20+ years above and look at the table's last column: that crossover is the entire argument for starting early.
The three inputs, ranked by what you control
- Time — the most powerful and least controllable after the fact. Ten extra years routinely doubles the outcome. The best moment to start was years ago; the second best is this month.
- Contribution — fully in your control. Doubling the monthly contribution roughly doubles the contributed portion and nearly doubles long-run interest too.
- Rate — the one people obsess over and control least. Chasing an extra 2% with exotic bets usually adds more risk than return; most long-term investors capture the market average with broad index funds and win on the other two inputs instead.
A realistic rate to use
Broad stock-market indexes have averaged around 9–10% nominal, or roughly 7% after inflation, over long periods. Savings accounts compound too — just slower; check the high-yield rate you actually earn and try it in the savings goal calculator for short-term money. For mixed portfolios, blend accordingly. Whatever you choose, consistency of contribution beats precision of forecast.
To watch compounding happen in your own accounts — not in a hypothetical — track your balances monthly. Our Net Worth Tracker turns that into a 5-minute monthly habit with an automatic trend chart.
Frequently asked questions
- How often should interest compound for this to apply?
- The calculator compounds monthly, which matches most savings accounts and is a close approximation for investment portfolios. Daily vs monthly compounding changes results by well under 1% — frequency matters far less than rate and time.
- What rate should I enter for stock investments?
- A common planning choice is 7% (the rough long-run inflation-adjusted return of broad US stock indexes) if you want answers in today's purchasing power, or 9–10% nominal if not. Conservative planners use 5–6%.
- Is compound interest really 'the eighth wonder of the world'?
- The quote is (probably apocryphally) attributed to Einstein, but the math is real: at 7%, money doubles roughly every 10.3 years — the Rule of 72 (72 ÷ rate ≈ doubling years) is a handy mental shortcut.
- Does this work against me with debt?
- Exactly — unpaid interest on a 22% APR credit card compounds the same way, just in the wrong direction. That's why paying off high-APR debt is mathematically a guaranteed 22% return. See the debt snowball calculator.