Non-Linear Math Engine
Drawdown & Capital Recovery Calculator
Model peak-to-trough equity declines, compute non-linear break-even gain requirements, and forecast statistical trade volume required for recovery.
Peak Account Equity$50,000
$
Drawdown Experienced15%
5% (Prop limit)25% (Warning)50%+ (Severe)
Strategy Win Rate55%
Risk to Reward Ratio1 : 1.5
Risk Per Trade Allocation1%
Required Gain to Break Even
+17.65%
Remaining Equity: $42,500 (Loss of -$7,500)
Required Capital Gain
+$7,500
Expected Edge / Trade
+0.38R
Trades to Full Recovery
48
Risk Asymmetry Ratio
1.18x
Institutional Risk Warning
Because capital recovery is non-linear, a 50% loss requires a 100% gain just to get back to zero. Enforcing strict, automated daily loss gates with Quant Desk Pro prevents accounts from descending into unrecoverable mathematical territory.
The Non-Linear Drawdown Matrix
| Drawdown % | Required Gain % to Recover | Institutional Severity Classification |
|---|---|---|
| 5% | +5.26% | Minor Fluctuation |
| 10% | +11.11% | Standard Operational |
| 15% | +17.65% | Moderate Drawdown |
| 20% | +25.00% | Significant Stress |
| 25% | +33.33% | High Risk |
| 30% | +42.86% | Severe Impairment |
| 40% | +66.67% | Critical Recovery |
| 50% | +100.00% | Full Doubling Required |
| 70% | +233.33% | Extreme Distress |
| 90% | +900.00% | Mathematical Ruin |