Losing 20%: Why Does It Take a 25% Gain to Recover? First Look at the Percentage Base

Author: Thomas | Trading Knowledge | October 11, 2026

After an account loses money, returning to the original level often requires a larger upward percentage than the previous downward percentage. This is the arithmetic result of a changed denominator, not some trading secret. Clarifying the calculation base can prevent treating "earning the same percentage again means breaking even" as a position plan.

Two Percentages, Using Different Bases

The decline percentage usually uses the original amount as the denominator, while the recovery percentage uses the amount after the loss as the denominator. The same amount difference, divided by a smaller remaining amount, produces a larger percentage.

All teaching numbers below are used for illustration and do not represent a real account or today's gold market. Deposits, withdrawals, and additional fees are not included; they are used only to explain the relationship between amounts and percentages.

Teaching Example: A 20% Decline Requires 25% to Recover

Assume the original amount is 100. After a 20% decline, 80 remains. To return to 100, an increase of 20 is needed; this 20 relative to the current 80 is 25%. If 80 only increases by 20%, the result is 96, still below the original 100.

Therefore, "first down 20%, then up 20%" does not fully offset. When stating results, writing the base amount and coverage period clearly is easier to verify than showing only a percentage.

General Formula, Cannot Become a Guarantee of Profit Targets

Let the decline percentage be d, with d greater than or equal to 0 and less than 1. The increase percentage needed to recover to the original level is d divided by 1 minus d. For example, when d is 0.1, about 11.11% is needed; when d is 0.5, 100% is needed.

The formula only calculates the percentage needed to recover from the remaining amount to the original value. It does not indicate how much time is needed, does not indicate what trading method to use, and certainly does not guarantee that the market will provide such an opportunity. The calculation result cannot be written as a return that must be achieved next week.

Drawdown and Single-Trade Loss: First Determine the Statistical Object

When discussing drawdown, it is necessary to clarify whether it is the account equity declining from a certain high point or the change in closed balance. A single-trade loss, cumulative loss over a period, and peak-to-trough account drawdown do not necessarily use the same starting point.

If different objects are mixed together, even if the division is not wrong, the explanation may not hold. Recording the original high point, current value, time, and whether balance or equity is used is necessary to know what is being compared.

Deposits, Withdrawals, and Fees Will Change the Comparison Method

If funds are added or withdrawn during the period, the amount changes cannot all be attributed to trading performance. Simply subtracting last week's amount from the current amount may treat deposits as profits and withdrawals as losses. Cash flows should be listed first, and then a consistent statistical method should be used.

Whether commissions, holding costs, and other items are already included in the results must also be checked against the statement basis. The 100 and 80 example in this article does not include these factors and cannot directly replace actual account reconciliation.

The Desire to Break Even Is Not a Basis for Adding to Positions

Seeing arithmetically that the recovery percentage becomes larger does not imply that position size should be increased. Increasing trade size also changes profit and loss exposure, and "wanting to return to the original value as soon as possible" cannot be treated as evidence that a method is already effective.

Evaluating the next operation still requires independently checking conditions, execution, and risk tolerance. The original loss is only a historical result; it will not automatically make the next trade more likely to be profitable, nor does it add predictive power to any indicator.

Weekend Record: Write Amounts, Percentages, and Reasons Separately

The original base, current amount, change amount, decline percentage, and required recovery percentage can be listed separately, followed by notes on cash flows and fees. Mark missing parts as missing; do not fabricate account records.

During review, distinguish method assumptions, execution deviations, and statistical basis, rather than only staring at the break-even number. This article has no real performance results and does not provide specific position-adding or return targets. Leveraged trading may cause significant losses. The content is for trading knowledge and arithmetic education, does not constitute buy or sell instructions, and does not promise returns.