Risk Management · 7 min read

The Drawdown Math Nobody Explains: Why a 50% Loss Needs a 100% Gain

Forextity AcademyUpdated August 2026

If your account drops 10%, you need roughly an 11% gain to get back to where you started. If it drops 50%, you don't need a 50% gain back — you need 100%. This asymmetry is one of the most underestimated forces in trading, and it's entirely mathematical, not a matter of luck or skill.

Why losses and recoveries aren't symmetrical

The confusion comes from applying percentages to a shrinking base. A 50% loss doesn't just subtract 50 percentage points — it cuts your account in half, and the gain required afterward is calculated from that smaller number, not the original one.

Formula

Gain Required to Recover = Loss % ÷ (1 − Loss %)

The full recovery table

DrawdownGain Required to Recover
5%5.3%
10%11.1%
20%25.0%
30%42.9%
40%66.7%
50%100.0%
60%150.0%
70%233.3%
80%400.0%
90%900.0%

Notice the shape of this curve: it stays roughly proportional up to about a 20% drawdown, then accelerates sharply. Below 20%, recovery is annoying but manageable. Past 50%, recovery starts requiring gains that most trading strategies, even good ones, take a very long time to produce — if they ever do.

Worked example: a $10,000 account

Example

A $10,000 account drops 50% to $5,000. To get back to $10,000, that $5,000 needs to double — a 100% gain. If the trader's average return is a very solid 20% per year, full recovery from this single drawdown alone would take roughly 4 years of compounding, assuming no further losses along the way.

Compare that to a trader who never let their account draw down more than 20% ($8,000 low point). Recovering from a 20% drawdown only requires a 25% gain — achievable in a little over a year at the same 20% annual return, not four.

Why this is the real argument for conservative position sizing

This math is the mathematical foundation behind every "risk 1-2% per trade" rule you'll hear from experienced traders and prop firms. It isn't caution for its own sake — it's a direct consequence of how brutally the recovery curve accelerates past moderate drawdown levels. A trader risking 10% per trade can hit a 50% drawdown in just 7 losing trades. A trader risking 1% per trade needs a genuinely extreme, sustained losing streak to reach the same point. See our position sizing guide for the exact mechanics of controlling this.

Why prop firms enforce hard drawdown limits

This is also exactly why prop firms set maximum drawdown limits (often 8-10% of the initial balance) as an automatic account-failure trigger, rather than trusting traders to manage it themselves. Once an account is deep enough into drawdown, the gain required to recover becomes so large that continuing to trade the same account often pushes traders toward larger, more desperate position sizes — precisely the opposite of what recovery requires. Cutting losses at a hard limit, before the math turns brutal, protects both the firm's capital and the trader from that spiral. See our prop firm rules guide for how these limits actually work.

The practical takeaway

Because the recovery curve is roughly linear below ~20% drawdown and accelerates sharply beyond it, the most effective drawdown management isn't recovering well — it's staying on the flatter part of the curve in the first place, through position sizing and risk per trade, so recovery never becomes the exponential problem shown in the table above.

See exactly what any drawdown level requires to recover. Enter your starting balance and current drawdown to get the precise recovery percentage and target balance.

Open the Drawdown Recovery Calculator →