Drawdown recovery: why a 20% loss needs a 25% gain
Understand the changing percentage base behind drawdown recovery, with a $10,000 example and clear limits on what the calculation means.
Why the percentages differ
A decline and its recovery measure changes against different starting values. The loss percentage uses the value before the decline; the recovery percentage uses the smaller value left afterward. That change of base explains why a 20% decline needs a 25% gain to return to the original amount. The cash lost and the cash needed back are equal, but their percentage denominators are different. Equal percentage moves in opposite directions therefore do not generally cancel.
Follow $10,000 to $8,000 and back
Start with a hypothetical $10,000 balance. A 20% decline removes $10,000 × 0.20 = $2,000, leaving $8,000. Returning to $10,000 requires the same $2,000 in cash. Measured against the remaining balance, $2,000 ÷ $8,000 = 0.25, or 25%. By comparison, a 20% gain on $8,000 adds only $1,600 and produces $9,600. It leaves a $400 gap because that gain was calculated on a smaller base.
Calculate recovery from the remaining base
For a decline entered as a percentage, required gain (%) = decline (%) ÷ (100 − decline (%)) × 100. Substituting 20 gives 20 ÷ 80 × 100 = 25%. Equivalently, divide the cash shortfall by the remaining balance and multiply by 100. The starting monetary amount cancels from the percentage formula, so the required percentage depends on the size of the decline, while the corresponding cash amount depends on the starting balance. Keep loss base and recovery base explicit when checking the result.
Understand zero and complete loss
With a 0% decline, the balance is unchanged and the required recovery gain is 0%. A 50% decline leaves half the original amount, so returning to the original requires a 100% gain on what remains. At a 100% loss, nothing remains: the formula divides by zero, making percentage recovery undefined. No finite percentage gain applied to a zero balance restores a positive starting balance. Adding new money would introduce a cash flow and change the assumptions of this calculation.
Keep the model boundaries visible
These examples exclude fees, deposits, withdrawals, taxes and inflation. They compare an initial amount with the amount remaining after one specified decline, using the same currency throughout. A deposit can increase a balance without representing investment performance; a withdrawal can reduce it without representing a trading loss. Those movements need separate treatment before interpreting account changes as returns. The drawdown recovery calculator illustrates this single-decline arithmetic; it does not identify historical maximum drawdown from a sequence of trades or reconstruct an account statement.
Read the result without turning it into a target
A required recovery percentage describes the mathematical gap back to the original nominal amount. It supplies no probability of recovery, completion date or expected return. The 25% example is not a forecast, financial advice or a suggested trading target. Neither the formula nor a larger required gain establishes a suitable position size or strategy. Use the related calculator to reproduce the stated assumptions and inspect the arithmetic; whether any future outcome occurs remains outside this model.
Sources and conventions
Examples are hypothetical. Arithmetic follows the formulas documented in our methodology. Broker contract specifications determine actual lot, margin and execution conditions. These sources document definitions and data; a source link does not imply endorsement of SanForex or a trading service.
These materials are prepared with AI assistance and checked against worked examples and deterministic calculation tests where applicable. They are not an expert suitability assessment or investment advice.
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