Drawdown: why a −50% loss needs +100% to recover

Lose 50 percent of your account, and you need not 50 but 100 percent to climb back. The loss and its cure are not the same size — and the deeper the hole, the steeper the way out.

This is not an opinion, it is arithmetic. And it is the reason experienced traders don't ask "How much can I win?" first, but "How far can it fall?". Anyone who doesn't have size per trade under control learns this calculation the expensive way — position size is the dial that keeps drawdown shallow.

The principle: why drawdown doesn't recover symmetrically

The trick is in the reference base. You lose on full capital, but you gain on the shrunken capital. Fall from 100,000 to 50,000, and that's a loss of 50 percent. To get back to 100,000, you have to earn 50,000 on 50,000 — that's 100 percent. The same amount of money, two different percentages, because the base has shifted.

From this follows a single formula:

Required gain = loss ÷ remaining capital.

At 20 percent drawdown, that's +25 percent. At 33 percent, already +49 percent. At 50 percent, +100 percent. At 75 percent, +300 percent. The gap between loss and required recovery does not grow linearly — it opens like a pair of scissors.

The curve: where the math explodes

Up to about 20 percent, the damage is manageable. Then the curve begins to rear up, and past the halfway point it shoots straight upward. Drag the drawdown yourself:

Recovery calculator

A loss and the gain that offsets it are not the same size. Drag the drawdown up and see what it takes to get back.

Drawdown−50 %

Loss

−50 %

Gain needed to recover

+100 %

Past the halfway mark you must double your remaining capital just to get back to zero.

For comparison:−20 % → +25 %−33 % → +49 %−50 % → +100 %−75 % → +300 %

The 50 percent mark is the psychological and mathematical threshold: from here you have to double your remaining capital just to get back to zero. At 90 percent you need +900 percent — you'd have to multiply your money tenfold. In practice the account is dead there, even if something is technically left over.

The math — one percent against five

This is exactly where drawdown connects with position size. Two accounts, the same losing streak of ten losers in a row.

The first risks 1 percent per trade. After ten losers it stands roughly 10 percent down — a recovery of about +11 percent brings it back. Unpleasant, but a normal working week.

The second risks 5 percent. The same ten losers tear it down by about 40 percent — and now it needs +67 percent just to see zero again. The same losing streak becomes a dent for one account and a six-month catch-up grind for the other. The difference wasn't the market. It was a number that was fixed before the first trade.

Note: Illustrative calculation example, not a return promise and not a trading signal. Drawdown and percentage values are for illustration. The risk disclosure applies.

The rule that keeps the hole shallow

You can't control whether a trade loses. You can only control how deep a series of losers drags you — and that is decided before the first one runs. Three caps keep drawdown in the recoverable range:

• Limit risk per trade. The small, fixed fraction (commonly 0.5 to 1 percent) is the direct dial for drawdown depth. Half the size means a hole half as deep.
• A daily and weekly stop. After a defined daily loss, you're done — not out of weakness, but because a bad day otherwise turns into a bad week. The stop keeps frustration from becoming size.
• An overall drawdown limit. A hard line (around −20 percent) at which size is halved or paused. It makes sure you never reach the vertical zone of the curve.

This is poka-yoke against ruin: rules that make the lethal drawdown impossible, instead of hoping for self-control in the middle of a loss.

When the math gets misread

Three things have to be set honestly alongside it, or you draw the wrong conclusions:

• Drawdown is normal, the deep one is not. Every edge with positive expectancy has losing streaks. The goal is not to never be in the red, but to cap the depth. A trader without drawdown usually just doesn't have enough trades yet.
• Fixed-fractional brakes both ways. Risking the same percentage every time automatically shrinks the position during drawdown — that protects on the way down, but also slows the recovery. The curve above is the worst-case measure, not the exact path.
• The account recovers faster than the head. Psychological drawdown is often deeper than the real one. Whoever raises size in the hole to get out faster combines recovery math with loss aversion — and digs deeper.

Back to the scissors between loss and recovery. You don't win this game by making the biggest gains, but by avoiding the biggest losses. Drawdown control is not a defensive detail on the side — it is the main discipline that makes everything else possible in the first place. And discipline isn't read, it's trained.