Risk

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

Losses and the gains needed to erase them aren't symmetric. The recovery table every trader should memorize, and what it means for risk limits.

WM
William M. · Founder of Shibiki

Lose 50% of your account and you don’t need 50% to get back — you need 100%. Drawdown and recovery aren’t symmetric, and the further you fall, the more brutally the gap widens.

The asymmetry: -10% needs +11.1%, -50% needs +100%

The reason is arithmetic, not bad luck. When you lose, the gain that follows is calculated on a smaller base. Drop 10% of $100 and you have $90; making 10% of $90 gives you back only $9, leaving you at $99. To fully recover you need +11.1%, because 90 × 1.111 = 100.

The formula is short and worth memorising:

Recovery % needed = drawdown ÷ (1 − drawdown)

  • Lose 10% → need +11.1%
  • Lose 20% → need +25%
  • Lose 50% → need +100%

The recovery you owe is always larger than the loss you took, and the gap between them grows fast.

Why the gap explodes as drawdown deepens

Look at the denominator. As drawdown climbs toward 100%, the base you’re rebuilding from shrinks toward zero, so the percentage gain required rockets. From 10% to 20% drawdown the required recovery roughly doubles from 11% to 25%. From 50% to 75% it triples, from 100% to 300%.

This is why deep drawdowns are so much more dangerous than they look on the way down. The first 20% of a drawdown is survivable — a good month erases it. The last 20%, taking you from 60% down to 80% down, changes the required recovery from 150% to 400%. Same 20% of account, radically different hole. Drawdown doesn’t hurt linearly; it hurts geometrically.

The full recovery table from 5% to 90%

Keep this table where you can see it. It’s the single most sobering reference in risk management.

DrawdownGain needed to recover
5%5.3%
10%11.1%
15%17.6%
20%25%
25%33.3%
30%42.9%
40%66.7%
50%100%
60%150%
70%233%
75%300%
80%400%
90%900%

Notice the shape. Up to about 20% the cost is manageable — you owe a bit more than you lost. Past 30% the curve turns vicious, and past 50% you’re in territory where recovery requires a run most traders never string together. You can run your own account through a drawdown recovery calculator to see exactly where your current number sits on this curve.

How this argues for small, capped risk per trade

The table is the whole case for small position sizing, made in one picture. If you cap risk at a modest fraction of the account per trade, a losing streak stays in the shallow, cheap-to-recover zone where a normal month erases it. Let risk run large and a handful of losses drops you into the steep part of the curve, where the required recovery is larger than any edge can reliably deliver.

  • Small, fixed risk keeps every drawdown in the survivable band and preserves your capacity to compound.
  • Oversized risk can push you past the point where recovery is mathematically realistic in any reasonable timeframe.

This matters twice as much on a funded account, where a trailing drawdown limit can lock you out entirely before you ever get the chance to recover. Understand how that mechanic bites before you size up — see how trailing drawdown works and model your buffer with a prop-firm drawdown calculator. Exact limits vary by firm and program, so always confirm the numbers with your provider.

Recovery time, not just recovery percentage

The percentage is only half the damage. The other half is time. A drawdown that needs +100% to recover doesn’t just need a big number — it needs that number produced without another meaningful setback along the way, which realistically means many months even for a strong trader.

And time compounds the harm in ways the table doesn’t show. Long drawdowns erode confidence, tempt revenge-sizing, and push traders to abandon a working system right before it turns. The deeper the hole, the longer you sit in the psychological danger zone, and the more likely you are to do something that makes it permanent. Avoiding the deep drawdown is worth far more than any plan for climbing out of one.

Setting a personal max-drawdown line you never cross

Draw the line before you need it. Decide, while you’re calm, on a maximum drawdown you will not cross — a level well inside the steep part of the curve, and comfortably inside your prop firm’s hard limit. When the account touches it, you stop: no new risk, review, reset. The point is to quit while recovery is still cheap and realistic, not to bargain with the math once you’re already in the hole.

The hard part is honouring that line on the exact day it’s hit — the day your judgement is worst. This is where enforcement beats willpower. Shibiki lets you set a hard account floor and daily loss cap that are pushed broker-side, so the limit holds even when you’d talk yourself past it, and it auto-journals every drawdown so you can see your real recovery pattern instead of the one you remember. The best drawdown is the one the math never lets get deep.

Related: Drawdown recovery calculator · Prop-firm drawdown calculator · How trailing drawdown works

Related guides

Free · 90-second setup

Stop tracking your trading. Start running it.

Shibiki journals every trade, measures your real edge, and pushes hard risk limits to your broker — across every prop-firm account at once.

Connect your first account

No credit card · works with your prop firm

  • Auto-journals every fill straight from your broker
  • Live edge health with a Wilson confidence interval
  • Hard risk limits enforced at the broker — not just alerts
  • One master strategy copied across your prop accounts