Risk and Planning · Public guide
Why Recovering from a Loss Takes a Larger Percentage Gain
Understand drawdown recovery with simple arithmetic and learn why percentage gains and losses use different starting balances.
By Tradex Education2 min read
Key idea: A loss reduces the base from which recovery is calculated, so equal percentage gains and losses do not cancel.
An account falls 20% and then rises 20%. It has not returned to its starting value. The percentages use different bases: the loss is measured from the original amount, while the gain is measured from the smaller remaining amount.
Understanding this arithmetic helps you review hypothetical performance without assuming that a matching percentage gain erases a previous decline.
Work through a simple example
Start with a hypothetical $1,000 balance. A 20% loss reduces it by $200 to $800. A subsequent 20% gain adds $160, bringing the balance to $960. The account remains $40 below the starting amount.
To recover from $800 to $1,000 requires a $200 gain on an $800 base, or 25%. The result follows from arithmetic; it does not depend on any particular trading strategy.
Use the recovery formula carefully
For a loss fraction L below 100%, the gain needed to return to the original value is L divided by 1 minus L. A 10% loss requires about 11.1% recovery; a 50% loss requires 100%.
The calculation assumes no deposits, withdrawals, or other changes in the balance. If those occur, separate them from investment or practice performance before interpreting the percentages.
Distinguish recovery from a deadline
Knowing the required percentage does not tell you how quickly it can be achieved or justify increasing exposure to reach it. A recovery target can create pressure to take actions unrelated to the quality of the current evidence.
In a learning review, focus on what produced the drawdown: ordinary unfavorable outcomes, inconsistent execution, changed sizing, or a flawed assumption. These causes require different responses, and the arithmetic alone cannot identify them.
Build a drawdown worksheet
Record starting value, lowest observed value, percentage decline, and the return needed to recover under the simplified assumptions. Then add a separate process note explaining what you intend to study or correct.
Try the calculation for several hypothetical losses and compare the recovery percentages. Keep the exercise educational. It should improve your understanding of exposure and compounding, not create a promise that a particular gain is attainable.
Tradex's planning and simulated review can help you connect performance arithmetic with a more deliberate learning process. Explore the platform with the goal of understanding both the numbers and the decisions behind them.
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