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Position Sizing: The Formula, a Worked Example & Why Risk % Beats Position Value

Position sizing explained: the formula shares = (account × risk%) / stop distance, a worked example for long and short, why the 1–2% rule exists, where the stop comes from, how to use a position sizing calculator, and how it combines with the Kelly criterion.

Position sizing answers the question that decides whether a trading strategy survives: how much of your account do you put at risk on this trade? You do not control where the market goes, but you control how much the account loses if you are wrong. That makes position sizing the only lever in trading that is fully in your hands — and the one beginners almost always skip, sizing trades by how much the position is worth instead of how much it can cost.

Nothing in this guide predicts anything. It is survival arithmetic: pick a fixed percentage of the account to risk per trade, work backwards from your stop-loss to the number of shares, and let the math — not the size of the opportunity — decide the position. Done consistently, it turns "what happens in a bad streak" from a question of luck into a number you chose in advance.

The position sizing formula

The standard formula sizes a position so that if the stop-loss is hit, you lose exactly your risk percentage of the account:

shares = (account size × risk%) / |entry price − stop price|

  • Account size — the equity you actually have (not your margin limit)
  • Risk % — the share of the account you accept losing if the stop is hit, typically 1–2%
  • Entry price — where you plan to buy (long) or sell (short)
  • Stop price — the price where the trade's thesis is proven wrong, placed before entry

Four steps in practice:

  1. Pick your risk percentage. For most traders that is 1%; see the next-but-one section for why.
  2. Define the entry and the stop from structure or volatility — support/resistance levels, or an ATR multiple — before the order goes in.
  3. Compute the risk amount: account size × risk%. On a $100,000 account at 1% that is $1,000.
  4. Divide the risk amount by the per-share stop distance (|entry − stop|) to get the number of shares.

The key mental shift: the stop distance, not the position's market value, is what sizes the trade. A $30,000 position with a $5 stop costs more than a $30,000 position with a $1 stop.

Worked example

Long trade: $100,000 account, 1% risk, entry $150, stop $145, take-profit $160:

  • Risk amount = 100,000 × 1% = $1,000
  • Per-share stop distance = |150 − 145| = $5
  • Shares = 1,000 / 5 = 200 shares
  • Position value = 200 × 150 = $30,000 — 30% of the account, which the formula never asked you about
  • Risk/reward = (160 − 150) / (150 − 145) = 2:1; if the target is hit the trade returns $2,000

The short version uses the identical formula with the stop on the other side: entry $150, stop $155, target $140. The stop distance is |150 − 155| = $5, so on the same account and risk you again take 200 shares, with a 2:1 reward. The absolute value is what makes one formula cover both directions.

Why risk % beats position value

Watch what happens to the same 200-share position ($30,000) as the stop moves: stop at $145 risks $1,000 (1% of the account); stop at $149.50 risks $100 (0.1%); stop at $135 risks $3,000 (3%). Same position value, thirty-fold different risk. An account only ever feels risk — the position value is just the distance to the stop multiplied by the shares.

This is why "I was only in for 10% of my account" is not a risk statement. Two traders with identical position values can risk 10 times different amounts on the same trade, purely because their stops sit at different distances. Fixed-percentage sizing exists to remove that hidden variable: the worst case per trade is a constant you chose, so a losing streak's damage is known in advance, and the question "can I survive 10 losers in a row?" has a numerical answer instead of a feeling.

How much should you risk per trade

The 1–2% rule exists because losing streaks are a matter of arithmetic, not of how bad a month you are in. If each loss costs exactly 1% of the account, ten consecutive losses cost 0.9910 − 1 ≈ 9.6% of equity. At 2% per trade the same streak costs ≈ 18%. At 5% — a common size for confident beginners — it costs ≈ 40%, which is a drawdown that changes how a person trades.

The streaks themselves are not as rare as they feel. On a coin-flip strategy (50% win rate) the chance of ten consecutive losses at any given point is 1/1024 ≈ 0.1% — small, but a full year of daily trading offers hundreds of windows, and the event lands eventually. On a weak 35%-win-rate system the same ten-losers streak happens ≈ 13% of the time. The practical rule: choose the risk % whose worst realistic streak you can watch without changing your behavior. 1% is the safe default; 2% is defensible for systems with a track record; above that, the math of drawdowns and of your own hands starts to disagree.

Where the stop comes from

The formula's denominator is the stop distance, so the quality of the size is capped by the quality of the stop. The common sources, in increasing order of objectivity:

  • Structure — the nearest support (longs) or resistance (shorts) beyond which the trade's logic no longer holds. Clean to look at, easy to place lazily.
  • Volatility — a multiple of the Average True Range (1.5–2× ATR is common) sits where normal noise stops and a real move begins. The ATR Stop Loss Calculator and the ATR Calculator on this site produce that distance.
  • Fixed percentage — a simple 2–3% below entry. Blunt, but it keeps sizing honest when no structure exists.

One rule matters more than the choice: the stop is set at entry and does not move against you. Widen the stop after entry and you have silently changed the risk from 1% to whatever the new distance implies — the entire guide above just applied to a number you no longer believe in. If the original stop was wrong, exit at the original stop; re-enter only if the thesis is still alive.

Using the position sizing calculator

The Position Sizing Calculator takes: account size, risk per trade (%), entry price, stop-loss price, an optional take-profit, long/short direction, and the number of identical positions. It returns:

  • Shares/units — the position size from the formula above
  • Position value — shares × entry, shown so you can see how much of the account it occupies
  • Risk amount — the fixed $ you lose if the stop is hit
  • Potential profit and R:R ratio — from the optional take-profit
  • Total exposure — position value × number of positions as a % of the account

It refuses to compute a long whose stop sits above entry (or a short whose stop sits below) — that combination is not a trade, and sizing against the wrong side of entry is a classic silent error. It also warns when a single position exceeds 20% of the account or total exposure exceeds 100%. Everything runs client-side; nothing is transmitted. The Position Size Calculator is the simpler four-input variant — account, risk %, entry, stop — with whole-share rounding and 2:1 / 3:1 risk-reward projections, useful when you just want the share count fast. For the reward side of the math, the Risk/Reward Calculator covers the ratio itself.

Position sizing vs the Kelly criterion

Fixed-percentage risk sizing is robust on purpose: it never asks how strong your edge is, so it never misprices a size because of an overconfident win-rate estimate. Its cost is that it never scales up when the edge genuinely is large, and never shrinks when it is tiny. The Kelly criterion is the opposite policy — stake proportional to the estimated edge — which makes it optimal in theory and dangerously sensitive to the same estimation errors fixed sizing ignores. The working combination, covered in depth in the Kelly criterion guide: size the trade from your fixed risk percentage as usual, compute half Kelly on your edge estimate, and take the smaller of the two. The stop-based size is the floor; Kelly is the ceiling. Once the sized strategy is running, the Sharpe ratio is the right yardstick for whether the whole package — size, stop, entry — is working.

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Frequently Asked Questions

What is position sizing?

Position sizing decides how much of your account you risk on a single trade: you divide the amount you are willing to lose (account × risk %) by the stop-loss distance per unit (|entry − stop|) and the result is your number of shares or units. Its job is to make every losing trade cost the same fraction of the account, so the damage of a losing streak is a number you chose in advance rather than a question of luck.

How much should I risk per trade?

The standard is 1–2%. At 1% per trade, ten consecutive losses cost about 9.6% of the account (0.99 to the 10th − 1); at 2% about 18%; at 5% about 40% — a drawdown that changes how a trader behaves. Choose the risk percentage whose worst realistic streak you can watch without changing your behavior; 1% is the safe default, 2% is defensible for a system with a track record, and above that the drawdown math and your hands start to disagree.

How do I size a short position?

The same formula, only the stop sits above the entry. The denominator is the absolute distance |entry − stop|, so the direction does not change the arithmetic. Example: entry $150, stop $155, target $140, on a $100,000 account at 1%: the risk amount is $1,000, the stop distance is |150 − 155| = $5, so you take 200 units — the same number as the equivalent long. The profit still projects from the target: 200 × (150 − 140) = $2,000 at 2:1.

What is the difference between position value and risk amount?

Position value is the market value of what you hold (units × entry price); the risk amount is what you actually lose if the stop is hit (stop distance × units). Two positions with identical value can carry a thirty-fold difference in risk depending on the stop distance: a $30,000 position with the stop at $145, $149.50 or $135 risks $1,000, $100 or $3,000 respectively. The account only feels the risk — sizing by risk percentage exists precisely to stop traders from confusing the two.

How do I calculate position size in Excel?

Enter the account size (B1 = 100000), risk percent (B2 = 1), entry price (B3 = 150) and stop (B4 = 145). Then: B5: =B1*B2/100 for the risk amount (1,000); B6: =ABS(B3-B4) for the stop distance (5); B7: =B5/B6 for the unit count (200); B8: =B7*B3 for the position value (30,000). The ABS function works for shorts as well, so the same layout covers both directions. Add a column for the take-profit and the R:R ratio =ABS(B9-B3)/B6 to complete the picture.

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