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F-04 · Foundations · sizing

Position sizing: how much to put in each trade

Why the size of each position decides how deep your losses go, the arithmetic of getting back, and the common ways systems size their trades.

By Baris Demirci · · Rev00


The idea

Most of the attention in trading goes to when to buy and when to sell. How much to buy gets far less, yet it decides something the entry rules cannot: how deep the falls in your account go, and whether you can keep following the system through them.

The same system can be calm or ruinous depending only on its position size. Sizing does not change which trades win. It changes what each win and each loss does to the account.

Losses are harder to undo than to take

A fall and the rise needed to undo it are not the same size, because the rise starts from a smaller account.

Account falls from 100 toTo get back to 100 it must grow by
9010 on 90, about a ninth
8020 on 80, a quarter
6733 on 67, a half
5050 on 50, doubling
2575 on 25, four times over
Fall from 100 Growth needed to get back ×1.11 ×1.25 ×1.5 ×2 ×4 to 90 to 80 to 67 to 50 to 25
Illustration of the arithmetic, not results. Each pair shows a fall from 100 and the growth needed to get back. Small falls are cheap to repair. Past about a third, the climb back grows much faster than the fall.

That is why sizing matters so much. Keeping each loss small keeps the account in the region where recovery is still realistic.

A run of losses is normal

Every system has losing streaks. For trend following and breakout systems, which are wrong more often than right, ten losses in a row is not unusual at all. What that run does to the account depends almost entirely on how much each trade risks.

100 50 0 1 in 100: 90 left 5 in 100: 60 left 10 in 100: 35 left 0 5 10 losses in a row
Illustration of the arithmetic, not results. The same ten losing trades, with each trade risking 1, 5 or 10 parts in 100 of the account at the time. The first account is bruised. The last needs to nearly triple to get back.

Common ways to size a position

A fixed amount

Every trade gets the same amount of money, or the same number of shares. It is simple, but the risk varies from trade to trade: the same amount in a wild stock and a calm fund are very different bets.

Equal slots

The account is split into a set number of equal parts, one per position. Common in systems that hold a fixed number of positions at a time. Simple and easy to check, with the same weakness as a fixed amount.

A fixed share of the account at risk

Decide in advance how much of the account a single trade may lose if its stop is hit, then work backwards to the position size. The further away the stop, the smaller the position.

Account 50,000 Risk per trade 500 Risk per share 40 to 38: 2 Position 250 shares
Illustration with made-up numbers. Risking 1 in 100 of a 50,000 account is 500. Buying at 40 with a stop at 38 risks 2 a share, so the position is 500 divided by 2: 250 shares. If the stop is hit, the loss is about 500, before costs and gaps.

This is the method behind the chart above. It ties every position to a loss you chose in advance. Its weak point is the stop itself: a market that gaps past the stop loses more than planned.

Sizing by how much the market moves

Some instruments swing a lot each day, others very little. Sizing by volatility gives the calm one a larger position and the wild one a smaller one, so that each moves the account by about the same amount on a typical day. Trend following systems that trade many markets usually work this way, because otherwise the wildest market would dominate the account.

Typical daily move Position size Calm Wild
Illustration. Four times the daily movement, a quarter of the position: each market then swings the account by about the same amount on a typical day.

Formulas for the fastest growth

There are formulas, the best known being the Kelly criterion, that work out the position size that would grow an account fastest if you knew a system’s odds exactly. You never do, and the full Kelly size produces falls few people can live through. Where it is used at all, it is used as a ceiling, and traders take a fraction of it.

Limits that sit on top

Whatever the method, most systems also cap things:

  • The largest single position, so one bad gap cannot do too much damage.
  • Total exposure, so the account never holds more than it has, unless borrowing is part of the design.
  • Positions that move together, so five holdings that are really one bet are not sized as five separate risks. The Holy Grail is uncorrelated systems explains why that matters.

What it asks of you

  • Deciding before the trade. Size comes from the rule and the stop, not from how confident a trade feels.
  • Accepting smaller positions than feel exciting. A size that keeps a losing streak survivable will feel too small on most days. That is the point.
  • Sizing for the bad run, not the average one. Ask what ten losses in a row would do, and whether you would still follow the system afterwards.

The short version

Position sizing decides how deep the falls go, and falls are harder to undo than to take. Most systematic traders fix in advance how much of the account a trade may lose, adjust for how much a market moves, and cap single positions and total exposure. A good system with reckless sizing is a bad system.


Written for people building their own systematic portfolio management process. Nothing here is a recommendation to buy or sell anything. See the disclaimer.

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