The Mathematics of Capital Drawdown Recovery
Drawdown recovery is defined by the mathematical reality that a loss of capital decreases the base size of your next trade. If your account size shrinks, you must make a higher percentage return on the remaining capital to replace the money you lost.
The Recovery Formula
The percentage return required to recover from any drawdown is calculated as follows:
Required Recovery (%) = (1 / (1 - Drawdown Level) - 1) × 100
Why Protecting Capital is Key
As drawdowns exceed 20%, the required recovery rate begins to scale exponentially. While a 10% drawdown only requires an 11.1% gain to recover, a 50% drawdown requires a 100% gain, and a 90% drawdown requires a massive 900% gain. This asymmetry is the primary reason why professional hedge funds focus heavily on limiting maximum drawdown levels to single digits.