Compounding is boring and then it is not
The mechanism is simple enough to state in a sentence: your returns start earning returns. A $10,000 balance at 7% earns $700 in the first year, then earns 7% on $10,700 in the second. The extra $49 is the whole of compound interest.
What makes it hard to feel is the shape. For years, almost nothing happens that you could not have achieved by saving in a jar. The balance is mostly your own deposits, and the growth is a rounding error beside them. Then the curve pulls away from the straight line, slowly at first, and eventually the growth is doing more work each year than you are.
The chart above is that story. The dashed line is money you paid in; it rises in a straight line because you contribute the same amount every month. The solid line is the balance. The space between them is everything the returns produced.
The crossover: when it stops being your money
On the example loaded above — $10,000 to start, $500 a month, 7% for thirty years — you pay in $190,000 and finish with roughly $691,000. About 73% of the end result is growth.
But look at when that happens. Growth does not overtake your total contributions until month 200 — more than sixteen years in. For over half the run, the account is mostly just your savings with a bonus attached. Everyone who quits early quits during that half, which is precisely why they never see the other one.
The number nobody puts on the poster
$691,000 is a real projection. It is also denominated in dollars from thirty years' time, and those buy considerably less than today's.
At 2.5% inflation, the same $691,000 has the purchasing power of about $330,000 today. Inflation quietly removes $362,000 — more than half the headline. Nothing here is wrong: the projection is correct in future dollars. But a calculator that shows you only the large number is telling you something true in a way that leaves a false impression, which is why the adjusted figure sits directly beneath it on this page.
One trap worth avoiding: decide whether your return figure already has inflation removed. Historic US stock returns are often quoted at about 10% nominal or about 7% real. If you enter 7% intending it as a real return, set the inflation field to 0, or you will deduct inflation twice and badly understate the result.
What actually moves the result
In order of how much they matter:
- Time. Waiting five years to start, on the example above, costs about $229,000. Ten years costs around $390,000. The early contributions are the ones that compound longest, so they do disproportionate work — and it is the only input you cannot make up for later.
- How much you contribute. Directly and predictably proportional, and the input you have most control over.
- The rate of return. Enormous over decades, but far less under your control than the internet suggests, and chasing it reliably costs more than it earns.
- Compounding frequency. Almost irrelevant. Annual to daily compounding is worth about 5% over thirty years on the default example. Useful for comparing accounts that quote different terms; not worth optimising.
What this calculator does not model
A steady return, which is the biggest simplification here. Real markets deliver an average made of very good and very bad years, and the order matters — a severe drop early in the run does more damage than the same drop late, because it hits a balance that then has to recover before compounding resumes. It also excludes taxes on gains, platform and fund fees (which compound against you exactly as returns compound for you), and any change in your contribution over time, which for most people rises with income.
Treat the output as the shape of an outcome rather than a forecast of one. If you are weighing investing against clearing a debt first, the debt payoff calculator gives you the other half of that comparison, and paying down a mortgage is a guaranteed return worth measuring against an uncertain one.