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Risk & Capital Management / 7 Min Read

Understanding Investment Risk: Managing Drawdowns

Drawdown mathematics explains why larger losses require disproportionately larger recovery gains, and why risk controls support discipline without guaranteeing capital protection.

Author

AQS Global Risk Architecture Group

Introduction

A drawdown is a decline in account or portfolio value from a previous peak. Maximum drawdown is the largest peak-to-trough decline over a specified period. Looking at drawdowns alongside returns can help investors understand the scale of losses a strategy has experienced. Managing risk aims to limit exposure to losses, but no trading system can guarantee that capital will be preserved.

The Asymmetry of Portfolio Losses

A loss and the gain needed to recover it use different starting values. After a loss, the remaining balance is smaller, so an equal percentage gain will not restore the previous value. The required recovery gain rises nonlinearly as the loss grows; this relationship is not exponential. For a loss fraction d between zero and one, the required gain is d divided by (1 minus d). The examples below assume no deposits or withdrawals and ignore fees and taxes; percentages are rounded to one decimal place.

A 10% loss requires an 11.1% gain to break even.

A 25% loss requires a 33.3% gain to break even.

A 50% loss requires a 100.0% gain to break even.

A 75% loss requires a 300.0% gain to break even.

For example, an account that falls from 100 to 50 must gain 50 on its remaining balance of 50 to return to 100: a 100% gain. This arithmetic does not mean that taking more risk is necessary or advisable. Trying to recover losses quickly by increasing exposure can deepen the drawdown, and recovery is never assured.

Key Risk Control Frameworks

The following are general approaches to managing investment risk, not a specification of AQ Ultra features or a recommendation for any particular investor. Their usefulness depends on the product, market conditions and how they are implemented.

Position Sizing: The amount allocated to a position affects how much a price change can influence the overall account. Position limits can help manage concentration and exposure. Some approaches also consider market volatility when setting position size. These estimates can be wrong, and smaller positions do not remove market risk.

Stop-Loss Orders: A stop order becomes a market order when its stop price is reached. The stop price is a trigger, not a guaranteed sale price: execution can occur at a materially different price during rapid moves or price gaps. A stop-limit order controls the acceptable execution price but may remain unfilled. These orders therefore cannot guarantee a maximum loss.

Drawdown Review and Pause Rules: A strategy may use a pre-set drawdown level to prompt a review, reduce exposure or pause new orders. The threshold needs to suit the strategy and the investor's circumstances; there is no universal safe percentage. A pause on new orders does not necessarily close existing positions, and losses can continue beyond a trigger level because of market moves or execution delays.

Conclusion

Drawdown mathematics explains why a larger loss requires a disproportionately larger recovery gain. Position sizing, exit rules and periodic review can support risk management, but they do not guarantee that a portfolio will survive every disruption or recover its losses. The practical goal is to understand potential losses, keep exposure consistent with one's circumstances and avoid treating automation as capital protection.