The asymmetry, in one line
A loss and the gain that reverses it are not equal, because the gain is calculated on a smaller account. Lose 50% of $10,000 and you have $5,000 — to get back to $10,000 you must now double it: a 100% gain. The formula is unforgiving:
Gain needed = 1 ÷ (1 − drawdown) − 1. A 20% loss needs 25% back. A 50% loss needs 100% back. The deeper the hole, the more disproportionate the climb.
| Drawdown | Gain required to recover |
|---|---|
| −5% | +5.3% |
| −10% | +11.1% |
| −20% | +25.0% |
| −30% | +42.9% |
| −50% | +100% |
| −75% | +300% |
| −90% | +900% |
Up to about −10% the maths is nearly fair. Past −30% it turns vicious. Past −50% you're no longer trading to profit — you're trading to escape.
Why this changes the goal
The table reframes the entire job. Below ~10%, drawdowns are routine and recovery is easy — a few good trades and you're whole. The discipline is therefore simple: keep your drawdowns in the shallow, recoverable zone, and you never face the cruel part of the curve at all. Capital preservation isn't caution for its own sake; it's the thing that keeps your recovery maths linear instead of exponential.
Losing streaks are not bad luck — they're certain
Every edge, however good, produces losing streaks. They are not a sign something is broken; they are a guaranteed feature of trading a probabilistic system. The probability of a run of losses is (loss rate)N — and across hundreds of trades, multi-trade losing streaks are effectively inevitable. A system that loses 50% of the time will, over a long enough sample, string together 6, 8, even 10 losses in a row at some point.
The only question that matters is: does your position size let you survive that streak with your account — and your nerve — intact? Here is the same 10-loss streak at different risk-per-trade levels:
| Risk per trade | Drawdown after 10 losses | Gain to recover |
|---|---|---|
| 1% | −9.6% | +10.6% |
| 2% | −18.3% | +22.4% |
| 5% | −40.1% | +67.0% |
| 10% | −65.1% | +186% |
The same ten losses cost the 1%-risk trader a 9.6% dip they shrug off — and cost the 10%-risk trader 65% of their account and a near-impossible 186% climb back. The market dealt both the identical hand. The only difference was position size. This is why the next lesson — the 1–2% rule — is the most important arithmetic in trading.
The psychological drawdown is worse than the financial one
There's a second cost the table doesn't show. Trading from a deep hole distorts everything: you start forcing trades to "make it back," abandoning the rules that were keeping you safe, sizing up to recover faster — the exact behaviour that dug the hole deeper. A shallow drawdown is a number; a deep one is a state of mind. Keeping losses small protects your decision-making, not just your balance.
See the curve
The calculator below lets you set a starting balance, risk per trade, and a losing streak, and watch the drawdown and the recovery required. Drag the risk slider and watch the recovery number go non-linear — that's the whole lesson in one motion.
This is Lesson 7-1 in long form
The math of drawdowns — with the calculator and a quiz gate at 70% — is free in the course. Series 1 is free to read; a free account unlocks all 44 lessons and saves your progress.