Percentage losses and percentage gains are not symmetric, and this asymmetry is the single most underestimated force in trading. Every trader eventually experiences a drawdown; understanding the math of getting out of one changes how you size risk going in.
The Recovery Formula
Gain Required to Recover (%) = Drawdown (%) / (1 − Drawdown (%))This formula shows why the relationship isn't linear. A small drawdown needs a roughly proportional gain to recover; a large drawdown needs an exponentially larger gain, because the capital base you're recovering from has shrunk.
| Drawdown | Gain Required to Recover |
|---|---|
| 5% | 5.3% |
| 10% | 11.1% |
| 20% | 25% |
| 30% | 42.9% |
| 40% | 66.7% |
| 50% | 100% |
| 60% | 150% |
| 75% | 300% |
| 90% | 900% |
Worked Example
A $50,000 account drops to $25,000 — a 50% drawdown. To get back to $50,000, the account needs to grow from $25,000 by $25,000, which is a 100% gain on the reduced balance. This is why avoiding deep drawdowns matters far more than chasing large single wins.
A trader who loses 80% needs a 400% gain just to return to break-even. Very few trading approaches — even excellent ones — can realistically produce a 400% return before the account or the trader's psychology gives out first.
Drawdown by Risk-Per-Trade
The table below shows the account decline after 10 consecutive losing trades at different risk levels, assuming fixed % risk (not fixed lot).
| Risk per Trade | Drawdown after 10 Losses | Gain Needed to Recover |
|---|---|---|
| 0.5% | 4.9% | 5.1% |
| 1% | 9.6% | 10.6% |
| 2% | 18.3% | 22.4% |
| 5% | 40.1% | 67% |
| 10% | 65.1% | 186.6% |
How Professionals Manage Drawdown
- ▸Reduce position size progressively as drawdown deepens (e.g. halve risk after -10%).
- ▸Set a hard stop-trading threshold (e.g. -15% account drawdown) that triggers a full strategy review, not just a pause.
- ▸Track max drawdown in every backtest and demand a realistic risk of ruin estimate before trading live.
Prop firms and funds typically enforce daily and total drawdown limits (e.g. 5% daily, 10% total) precisely because of this math — a trader who's already down 8% is one bad day from a mathematically brutal hole.