Trading Math
Lose 50% and You Need +100% Just to Break Even
Losses and gains are not symmetric. The drawdown recovery math explains why position sizing matters more than entries — with the full table.
If your account went from $10,000 to $5,000 you're down 50%. Getting back to even doesn't take a 50% gain — it takes 100%. That asymmetry is one of the most expensive lessons in trading, and it's purely arithmetic. Psychology has nothing to do with it.
The recovery table
Watch how fast the required gain accelerates as the loss deepens:
| Loss | Gain needed to break even |
|---|---|
| 5% | 5.3% |
| 10% | 11.1% |
| 20% | 25% |
| 30% | 42.9% |
| 40% | 66.7% |
| 50% | 100% |
| 60% | 150% |
| 70% | 233% |
| 80% | 400% |
| 90% | 900% |
The top rows look harmless. A 10% drawdown closes with an 11% gain — a few good trades. Past 50% the curve turns vertical: lose half the account and you have to double what's left, meaning you now need to outperform everything you did on the way down, with less capital to do it.
A loss doesn't only cost money. The capital you lost was also part of your capacity to earn it back.
Why it isn't symmetric
Because the percentages run off different bases. 50% of $10,000 is $5,000. 50% of $5,000 is $2,500. You lose from a large base and have to recover from a small one. The drawdown traps you at a smaller size, and that smaller size can no longer produce the same absolute gains.
The practical consequence: sizing beats entries
This table shows that most trading education aims at the wrong target. Nearly all of it is about entries — which pattern, which indicator, which level. But accounts don't die from bad entries. They die from big positions.
A trader risking 1% per trade can be wrong twenty times in a row and still be down only 18% — recoverable. Risk 10% per trade and the same twenty losses take out 88% of the account, requiring a 700% gain to return. Same strategy, same entries, same losing streak. The only variable is size.
| Risk per trade | Left after 20 straight losses | Gain needed to recover |
|---|---|---|
| 1% | 81.8% | 22% |
| 2% | 66.8% | 50% |
| 5% | 35.8% | 179% |
| 10% | 12.2% | 720% |
On a prop firm account it's sharper still
Prop firm rules typically cap total drawdown at 8-10% and daily loss at 4-5%. By this table, a trader risking 2% per trade can breach the daily limit on five consecutive losses. The real exam at a prop firm isn't strategy — it's sizing discipline.
What to do about it
- 1Fix your risk-per-trade as a written rule, and write it while you're calm.
- 2Set a maximum daily and weekly loss; when it's hit, the day is over.
- 3Never size up during a losing streak — the math is already shrinking you.
- 4Check your drawdown curve as often as you check your equity curve.
In Syntra those limits become enforced rules through Rule Lock and the circuit breaker: breach your threshold and the system flags it and makes opening another trade that day deliberately harder. Your drawdown curve sits directly under the equity curve on the analytics screen — because the two are meant to be read together.
Your journal already knows this about you
Syntra logs every trade in R, computes expectancy per setup, and flags the behavior patterns in this article automatically — before the next trade, not after.
Start freeNot financial advice. Trading involves risk of loss.