A 50% loss requires a 100% gain to break even because the recovery percentage is measured from the smaller balance that remains after the loss. If an account falls from $10,000 to $5,000, it has lost 50%. Returning from $5,000 to $10,000 requires another $5,000, which is a 100% gain on the reduced balance.

The general formula is:

Required recovery gain = drawdown / (1 − drawdown)

where the drawdown is written as a decimal. This is fixed arithmetic. It does not predict how quickly an account will recover, whether a strategy will recover, or what return a trader can realistically earn.

Key takeaways

A 20% drawdown needs a 25% gain to recover; a 50% drawdown needs 100%; a 75% drawdown needs 300%.
Recovery gets harder nonlinearly because every gain is earned on a smaller capital base.
Drawdown should be measured from the previous equity peak, not from the original deposit or the latest trade.
Recovery-time estimates are hypothetical compounding calculations, not forecasts.
The useful lesson is not to "win it back faster." It is to design risk limits that make large drawdowns less likely in the first place.

What Is Drawdown in Trading?

A drawdown is the decline in account equity from a prior peak to a later trough before a new peak is reached.

Suppose an account moves like this:

$10,000 → $12,000 → $9,000

The drawdown is not 10%, because the account did not fall from the original $10,000 deposit. It fell from the $12,000 peak to $9,000.

The drawdown is therefore:

($12,000 − $9,000) / $12,000 = 25%

That distinction matters when reviewing a strategy. Maximum drawdown asks how far equity fell from a high-water mark, not simply whether the account ended above or below where it started.

For the broader role of drawdown alongside position sizing, stops, exposure and loss limits, see the trading risk-management guide.

The Drawdown Recovery Formula

Let D be the drawdown as a decimal. After the loss, the fraction of capital remaining is:

1 − D

To return that reduced balance to the old peak, the required gain G is:

G = D / (1 − D)

An equivalent form is:

G = 1 / (1 − D) − 1

For a 50% drawdown:

G = 0.50 / (1 − 0.50) = 1.00

So the required gain is 100%.

For a 30% drawdown:

G = 0.30 / 0.70 ≈ 0.4286

So the required gain is about 42.9%.

The formula becomes increasingly severe as the drawdown approaches 100%, because the denominator gets smaller and smaller.

Drawdown-to-Recovery Table

Drawdown	Capital Remaining	Gain Needed to Return to Peak
5%	95%	5.3%
10%	90%	11.1%
20%	80%	25.0%
30%	70%	42.9%
40%	60%	66.7%
50%	50%	100.0%
60%	40%	150.0%
75%	25%	300.0%
80%	20%	400.0%
90%	10%	900.0%

The table is not a statement that a specific drawdown is "safe" or "unrecoverable." It only shows the percentage return required to reach the old peak. Whether that return is feasible depends on the strategy, risk taken, time horizon, costs, market conditions and whether the trader continues to follow the system.

Why Equal Percentage Losses and Gains Do Not Cancel Out

A common intuition is that a 20% loss followed by a 20% gain should return an account to where it started. It does not.

Start with $10,000:

Lose 20%: $10,000 × 0.80 = $8,000.
Gain 20%: $8,000 × 1.20 = $9,600.

The account is still 4% below the original $10,000.

The same effect becomes much larger after deeper losses:

A 50% loss followed by a 50% gain leaves 75% of the original capital.
A 75% loss followed by a 75% gain leaves only 43.75% of the original capital.

This is sometimes called loss-gain asymmetry, but no advanced theory is required to understand it. The loss and the recovery are simply being calculated from different bases.

How to Calculate Recovery Time Without Pretending It Is a Forecast

The percentage needed to recover is fixed. The time needed is not.

If you want a purely mathematical scenario, assume the reduced account compounds at a constant return r per period. The number of periods n required to reach the old peak is:

n = ln(1 / (1 − D)) / ln(1 + r)

This formula is useful for understanding compounding, but the assumed return is the entire model. Real trading returns are not constant, losses can continue during recovery, fees and slippage matter, and taking more risk to target a higher return changes the drawdown distribution.

The following table is therefore an illustration only. It shows the minimum whole number of compounding periods required if an account somehow earned the same 2% or 5% every period without another losing period.

Drawdown	Gain Needed	At Constant 2% per Period	At Constant 5% per Period
10%	11.1%	6 periods	3 periods
20%	25.0%	12 periods	5 periods
30%	42.9%	19 periods	8 periods
40%	66.7%	26 periods	11 periods
50%	100.0%	36 periods	15 periods
60%	150.0%	47 periods	19 periods
75%	300.0%	71 periods	29 periods
90%	900.0%	117 periods	48 periods

Do not read "5% per period" as a target or expected return. If the period is a month, that assumption is extremely demanding; if the period is a year, the calendar time is obviously much longer. The table exists to show how strongly recovery time depends on the return assumption.

A Better Way to Use Recovery Math

Recovery math is most useful before a large drawdown happens.

Instead of asking, "How can I make 100% after losing 50%?" ask:

What drawdown has this strategy actually experienced in testing and live trading?
How large could a losing streak become without breaking my risk budget?
What happens to open risk if several correlated positions move against me together?
At what predefined loss level will I reduce exposure, pause, or review the strategy?
Is the current drawdown caused by normal variance, execution errors, a regime change, or a broken assumption?

Those questions connect the recovery equation to risk management rather than revenge trading.

The 1% rule guide shows how per-trade risk interacts with compounded losing streaks. The position sizing methods guide goes deeper into sizing mechanics.

Drawdown Depth Is Only One Risk Dimension

Two strategies can have the same maximum drawdown and still behave very differently.

Consider these simplified paths:

Strategy A drops 15% once and recovers quickly.
Strategy B repeatedly falls 10%–15%, spends long periods below its peak, and produces unstable returns.

A single maximum-drawdown number does not capture duration, frequency, volatility, liquidity risk or the path taken to the trough. Academic work on drawdown risk has long noted that peak-to-trough measures capture path-dependent information that standard volatility measures do not fully summarize.

For a strategy review, combine drawdown with metrics such as:

recovery duration;
longest losing streak;
expectancy;
average loss and average win;
exposure and leverage;
worst day or worst trade;
number of rule violations;
performance by market regime.

See the trading performance metrics guide for a broader measurement framework.

What to Do After a Significant Trading Loss

This page owns the mathematics, not a one-size-fits-all psychological protocol.

If a drawdown has already happened, the first useful distinction is whether you are still executing a tested process or whether loss-chasing has changed your behavior. A recovery plan should be based on the cause of the drawdown, not on an arbitrary calendar schedule.

A practical review usually includes:

Stop measuring success by "money back." The previous peak is a reference point, not a deadline.
Review the trade log. Separate valid system losses from execution mistakes and out-of-plan trades.
Compare the drawdown with prior evidence. Is it inside or outside what the strategy has historically produced?
Recalculate risk from current equity. Do not size new trades as if the old account balance still existed.
Define the condition for resuming normal size. Base it on process and evidence rather than a need to recover quickly.

For the behavioral and step-by-step side, use the separate guide to recovering from a trading loss. For trading psychology and revenge-trading control, see trading psychology.

How ChartMini Can Help With Drawdown Review

ChartMini cannot tell you what return you will earn or whether a strategy will recover. It can help you rehearse the process without putting more money at risk.

A useful replay exercise is:

Choose a historical market period that is different from the one where the drawdown occurred.
Use the same entry, stop and sizing rules you intend to use going forward.
Record every simulated trade and maintain an equity curve.
Measure peak-to-trough drawdown instead of looking only at final profit.
Compare the replay drawdown, losing streak and rule compliance with your existing journal.

You can run that exercise in Market Replay. Historical replay does not reproduce live fills, slippage, liquidity or the emotional pressure of real money, so treat it as practice evidence rather than proof of profitability.

Common Drawdown-Math Mistakes

Mistake 1: Measuring the loss from the wrong starting point

Maximum drawdown is measured from a prior equity peak to a subsequent trough. Using the original deposit can understate or overstate the actual peak-to-trough decline.

Mistake 2: Assuming the same percentage gain cancels the loss

A 30% loss followed by a 30% gain does not restore the account. The recovery is earned on the smaller remaining balance.

Mistake 3: Treating a recovery-time table as a prediction

Any recovery-time calculation embeds an assumed return. Change the assumed return and the answer changes immediately. Real returns are uneven and can include additional losses.

Mistake 4: Increasing risk because the required gain looks large

The formula describes the size of the hole. It does not recommend how aggressively to climb out of it. Increasing leverage can increase both potential return and the probability of a deeper drawdown.

Mistake 5: Using a universal "safe maximum drawdown"

There is no single drawdown percentage that is appropriate for every strategy, trader, account structure or market. A threshold should be tied to the system's tested behavior, capital constraints and written risk policy.

FAQ

Why does a 50% loss require a 100% gain?

Because a 50% loss leaves half the original capital. Returning from half the capital to the original amount requires doubling the remaining balance, which is a 100% gain.

What is the drawdown recovery formula?

If D is the loss as a decimal, the gain required to return to the previous peak is D / (1 − D). A 20% drawdown is 0.20 / 0.80 = 25%; a 75% drawdown is 0.75 / 0.25 = 300%.

What gain is needed after a 30% loss?

About 42.9%. After a 30% loss, 70% of the capital remains. Recovering the missing 30 relative to the remaining 70 requires 30 / 70 ≈ 42.9%.

How much gain is needed after an 80% loss?

400%. An 80% drawdown leaves 20% of the original capital. Returning from 20 to 100 requires a gain of 80 on a base of 20, or 400%.

How long does it take to recover from a 50% drawdown?

There is no fixed time. The account needs a 100% gain, but the time depends on the return path. Under a purely hypothetical constant-return model, the number of periods is ln(2) / ln(1 + r), where r is the assumed return per period.

What is a good maximum drawdown?

There is no universal percentage. A useful limit must fit the strategy's tested drawdown distribution, the trader's capital constraints, leverage and risk tolerance. The important point from recovery math is that the cost of deeper drawdowns rises rapidly.

Should I add money to make a drawdown percentage smaller?

Adding capital changes the account balance but does not prove that the trading process has improved. Diagnose the source of the drawdown first. Additional deposits should not be used to hide strategy or discipline problems.

Practical Next Step

Calculate three numbers from your own journal:

your current drawdown from the last equity peak;
the exact percentage gain required to reach that peak again;
the largest drawdown your current rules produced in a sufficiently representative backtest or replay sample.

Then review whether your position sizing and loss limits are designed to keep expected drawdowns inside a range you can actually tolerate operationally and financially. If your first instinct is to increase size simply because the recovery percentage looks large, that is a risk signal rather than a recovery plan.

Sources and Verification Notes

The recovery-gain table is derived directly from percentage arithmetic: D / (1 − D).
The recovery-time examples use constant compounding only and are not forecasts or expected returns.
Lisa R. Goldberg and Ola Mahmoud, Drawdown: From Practice to Theory and Back Again, formalize drawdown as a path-dependent risk measure and discuss its use in investment risk analysis.
Charles Schwab's 2026 educational material on recovering from major trading losses emphasizes the behavioral effect of losses and the importance of returning to disciplined execution rather than trying to force recovery.
ChartMini does not provide personalized financial advice, predict recovery returns, or recommend a universal drawdown threshold.

Drawdown Recovery Math: Why a 50% Loss Needs a 100% Gain