The single most useful thing a nervous new investor can see is how the chance of losing money changes with the length of time they hold. Over one year a diversified share portfolio is close to a coin toss weighted slightly in your favour. Over twenty it is not remotely a coin toss, and understanding why that happens makes the difference between panic selling and sitting still. The mechanism is that the expected return accumulates in proportion to time while the uncertainty around it accumulates in proportion to the square root of time, so the return pulls ahead of the noise the longer you wait. This page turns that into numbers using your own assumptions rather than a fixed history, because a single market over a single period is one sample of what could have happened and quoting it as a probability implies more precision than it carries. It also shows the thing that usually gets left out of this argument. As the chance of a loss falls, the spread of possible outcomes in dollars gets dramatically wider, so you become less likely to lose money and less certain what you will actually end up with. Both are true simultaneously. And it makes clear which input is doing the work: volatility, not expected return. A well diversified portfolio becomes fairly safe over long periods while a concentrated one stays genuinely risky no matter how long you hold it, which is an argument for diversification rather than for patience.
| Held for | Chance of a loss | Worst 10% below | Median | Best 10% above | Beats cash |
|---|---|---|---|---|---|
| 1 year | 33.90% | $44,308.10 | $52,981.92 | $63,353.75 | 59.82% |
| 2 years | 27.85% | $43,599.28 | $56,141.68 | $72,292.21 | 63.75% |
| 3 years | 23.60% | $43,647.43 | $59,489.89 | $81,082.58 | 66.67% |
| 5 years | 17.66% | $44,785.75 | $66,797.25 | $99,627.04 | 71.10% |
| 10 years | 9.46% | $50,700.62 | $89,237.44 | $157,065.57 | 78.42% |
| 15 years | 5.39% | $59,651.22 | $119,216.31 | $238,260.49 | 83.23% |
| 20 years | 3.17% | $71,595.69 | $159,266.42 | $354,292.17 | 86.70% |
| 30 years | 1.15% | $106,763.84 | $284,250.56 | $756,795.39 | 91.35% |
The probability column falls steadily. The dollar columns spread further apart. Both happen at once, and only the first is usually mentioned.
| Volatility | 1 year | 5 years | 10 years | 20 years | Roughly |
|---|---|---|---|---|---|
| 10.00% | 24.86% | 6.45% | 1.59% | 0.12% | A mixed or balanced fund |
| 15.00% | 33.90% | 17.66% | 9.46% | 3.17% | A broad share fund |
| 20.00% | 39.26% | 27.12% | 19.45% | 11.15% | A single country or sector |
| 25.00% | 42.93% | 34.51% | 28.65% | 21.27% | A concentrated portfolio |
At 25% volatility a twenty year horizon still carries a 21.27% chance of a loss. Time does not rescue concentration the way it rescues diversification.
| Held for | Worst 10% below | Best 10% above | Spread | Top as a multiple of bottom |
|---|---|---|---|---|
| 1 year | $44,308.10 | $63,353.75 | $19,045.66 | 1.43x |
| 5 years | $44,785.75 | $99,627.04 | $54,841.29 | 2.22x |
| 10 years | $50,700.62 | $157,065.57 | $106,364.95 | 3.10x |
| 20 years | $71,595.69 | $354,292.17 | $282,696.48 | 4.95x |
| 30 years | $106,763.84 | $756,795.39 | $650,031.55 | 7.09x |
At thirty years the top of the range is seven times the bottom. Long horizons make losses unlikely and outcomes far less predictable.
The expected return accumulates in proportion to how long you hold. The uncertainty around it accumulates in proportion to the square root of that time.
That mismatch is the whole mechanism. Over one year the noise is large relative to the expected gain, so the outcome is close to a coin toss. Over twenty the expected gain has grown twenty-fold while the noise has grown only about four and a half fold, and the return has pulled clear.
On the worked example that takes the chance of a loss from 33.90% to 3.17%.
One year: a 33.90% chance of ending with less than you started. Roughly one year in three.
Five years: 17.66%, about one period in six.
Ten years: 9.46%, about one in eleven.
Twenty years: 3.17%, about one in thirty-two.
A one-year loss is an ordinary event. A twenty-year loss, on these assumptions, is not.
Time makes losses unlikely. It does not make outcomes predictable, and the second point is routinely dropped from the first.
On $50,000.00 the middle eighty percent of outcomes spans $44,308.10 to $63,353.75 after one year, and $71,595.69 to $354,292.17 after twenty. The top of that range is nearly five times the bottom.
At thirty years it is seven times. So the honest statement is that a long horizon makes you very likely to end up ahead and gives you very little idea by how much, which matters if you are planning around a specific number.
Change the volatility and the long horizons move dramatically. Change the expected return and they move far less.
At 10.00% volatility the ten year chance of a loss is 1.59%. At 25.00% it is 28.65%, and even at twenty years it is still 21.27%.
That is the case for diversification stated as a probability. A concentrated portfolio does not become safe by being held longer; it stays risky and simply gives the risk more time to express itself. Our index concentration calculator and fund overlap calculator both measure how concentrated a portfolio actually is.
Everything on this page is nominal. A loss means finishing with fewer dollars than you started with, which ignores what those dollars will buy.
Keeping pace with inflation is a materially harder test, and the probability of failing it is higher at every horizon. To see the answer in those terms, enter a real return, meaning your expected return less expected inflation, instead of the nominal one.
Our cash drag calculator makes the same point from the other direction, showing how cash reliably preserves dollars while losing purchasing power.
It is worth being specific rather than waving at uncertainty.
Tails are fatter than the model allows. Severe market falls happen more often than a normal distribution predicts, so the genuinely bad outcomes are understated here.
Returns are not perfectly independent. There is some evidence of mean reversion over long periods, which would make long horizons slightly safer than shown.
Volatility is not constant. It clusters, rising in stressed periods and falling in calm ones, rather than sitting at a fixed level.
Those pull in different directions and none of them is small. The figures are the right order of magnitude, not precise odds.
The practical value is matching a horizon to an investment rather than computing an exact probability.
Money needed within a few years sits at the top of the table, where the chance of a loss is substantial and there is no time to recover. Our first home deposit vs invest calculator covers that case, where a fixed date makes the risk worse still.
Money that will not be touched for decades sits at the bottom, where the question stops being whether you will lose and starts being whether you can leave it alone. Our savings to investment switch calculator works the horizon question in reverse, asking how large a fall a given horizon can absorb.
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