Risk & Drawdown Mathematics
Quantitative Risk & Recovery Papers
Mathematical modeling of loss depth, non-linear recovery requirements, position-sizing decay, and account ruin probabilities.
Drawdown Recovery Calculator
Calculate exact percentage gains and trade estimates required to recover from capital losses.
1. Account & Risk Parameters
2. Required Recovery Metrics
Capital Lost-£2,500 (25.0%)
Required Percentage Gain+33.3%
Strategy Expected Value (EV)+0.25 R
Estimated Trades to Breakeven134 trades
Deep Drawdown WarningA 25% loss requires a 33% gain to recover. Increasing risk per trade to speed up recovery exponentially increases risk of total account ruin.
Non-Linear Recovery Reference Matrix
-10% Loss
+11%
-20% Loss
+25%
-30% Loss
+43%
-50% Loss
+100%
-75% Loss
+300%
-90% Loss
+900%
Peer-Reviewed Risk Papers
The Non-Linear Mathematics of Trading Drawdown Recovery
An empirical model of required return curves, position-sizing decay, and account recovery probabilities.
Key Findings:
- A 50% loss requires a 100% gain to breakeven, but under fixed 2% fractional risk, expected recovery trade count increases by 312% due to shrinking position sizes.
- Consecutive loss clusters of 6 or more trades occur in 94.2% of 100-trade samples even with a 55% win rate strategy.
- Dynamic position scaling after drawdowns exceeding 25% significantly reduces probability of account recovery within 50 trades.