Drawdown Explained: Why a 50% Loss Needs a 100% Gain

You put $10,000 into a position. It drops to $5,000. You tell yourself: no problem, it just needs to go back up 50% and I’m even.

It doesn’t. It needs to go up 100%. That gap between what fell and what’s required to climb back is the whole reason drawdown deserves more attention than most retail traders give it.

The asymmetry, stated plainly

A loss and the gain that undoes it are not the same percentage. They can’t be, because they’re measured against different starting points.

Losses are measured against your original balance. Gains needed to recover are measured against your new, smaller balance. Once the denominator shrinks, the percentage required to climb back to where you started grows.

The formula is simple:

Recovery gain needed = Loss / (1 − Loss)

A 10% loss needs an 11.1% gain. A 20% loss needs a 25% gain. Nothing dramatic yet. But keep going and the curve bends hard.

The table that makes it click

Assumptions: no additional deposits or withdrawals, no fees, no taxes, and the position is measured in isolation from the rest of a portfolio. This is arithmetic, not a forecast of what any market will actually do.

Look at the jump between 40% and 50%. One row, and the required gain goes from two-thirds to a full double. That’s the point where a lot of traders quietly stop believing they’ll get back to even, even if they keep holding.

Why the curve isn’t a straight line

Percentages compound off whatever’s left, not off what used to be there. If you lose 50 cents on every dollar, you’re not working with a dollar anymore. You’re working with 50 cents, and getting back to a dollar from 50 cents is a 100% move, full stop.

This is the same mechanism, just flipped, as compounding gains. A trader who’s excited about a strategy that “doubles your money” should apply the identical logic backward: what drawdown would wipe that gain out? A 100% gain gets erased by a 50% loss. Symmetry only exists at the level of dollars, never at the level of percent.

A worked example with leverage

Leverage doesn’t create this asymmetry. It amplifies it.

Say you open a position with 5x leverage on $2,000 of margin, controlling $10,000 of exposure. The underlying asset drops 10%.

• Loss on the full exposure: 10% × $10,000 = $1,000
• That $1,000 loss is measured against your $2,000 margin, not the $10,000 exposure
• Your account is down 50%, not 10%

To get your margin back to $2,000, you now need the underlying position to gain enough to add $1,000 back onto a $9,000 base. That’s an 11.1% move in the underlying, which translates to a 50% gain in your account, matching the table above.

This is illustrative math for a single hypothetical position, not a description of how any specific product, broker, or contract is structured. Real leveraged products carry margin calls, financing costs, and liquidation rules that can end the trade before recovery is even possible. The FINRA overview of margin investing explains how margin requirements and maintenance calls work in practice, and it’s worth reading before assuming you’d get the chance to wait out a drawdown at all.

Drawdown at the portfolio level

None of this requires leverage to matter. Even an all-cash, unleveraged equity position follows the same curve. It’s just less common to see 80% or 90% drawdowns in a diversified portfolio, because diversification is, among other things, a tool for keeping any single loss from dragging the whole account down that far.

Maximum drawdown, the largest peak-to-trough decline over a given period, is one of the standard ways analysts and fund managers describe risk, alongside volatility and Sharpe-style ratios. It doesn’t tell you when a loss happened or why, only how deep it went relative to the account’s high water mark.

What this does not tell you

This math describes recovery in percentage terms only. It leaves out several things that matter in practice.

It says nothing about time. A 25% recovery might take three weeks or three years. The formula is blind to duration entirely.

It assumes the position or account stays intact. Margin calls, forced liquidations, stop-outs, and fund closures can end a position before any recovery is mathematically possible. The math describes a path that exists on paper; it doesn’t guarantee the path stays open to you.

It ignores cash flows. Deposits, withdrawals, fees, financing costs, and taxes all change the actual balance in ways this simple formula doesn’t capture. A real account statement will diverge from this table the moment any of those enter the picture.

It doesn’t account for behavior. Many traders don’t hold through a 50% drawdown waiting for the math to work out. They sell, they average down at the wrong time, or they change strategy mid-decline, and any of those choices changes the outcome the formula can’t predict.

It says nothing about probability. The table tells you what gain is required. It says nothing about how likely that gain is, or over what time frame, for any specific asset or strategy.

Frequently Asked Questions

Does this apply to a whole portfolio or just one position?

The math is identical whether you’re looking at a single trade, a full account, or an entire portfolio. It’s a function of the percentage lost and the percentage needed to recover, not of what’s being measured.

If a 50% loss needs a 100% gain, is deep drawdown basically unrecoverable?

Not unrecoverable, but the math gets punishing fast. A 90% drawdown needs a 900% gain just to reach the old high, and that’s before accounting for how long that might take or whether the position survives long enough to try. That’s the practical argument for limiting how deep a loss is allowed to run before it’s addressed.

Why don’t brokerage statements show this recovery percentage directly?

Most statements show your current balance, your cost basis, and unrealized gain or loss in dollars and percent from your entry point. They don’t typically compute forward-looking “gain needed to recover” figures, because that number depends on assumptions about your specific entry point and timeframe that a generic statement doesn’t try to encode.

Is there a standard way analysts measure drawdown risk?

Maximum drawdown is one common metric, usually defined as the largest percentage decline from a peak to a subsequent trough before a new peak is reached. It’s often reported alongside other risk measures rather than on its own, since it doesn’t capture duration or the path taken to get there.

Does averaging down change the recovery math?

It changes your cost basis, which changes what percentage move gets you back to even, but the underlying formula still applies to whatever balance you’re carrying at any given moment. Buying more at a lower price can lower the recovery bar from that new average, though it also means more capital is now exposed to the same asset.

Does the same formula work in reverse, for a gain instead of a loss?

Yes. Asking “what loss would erase this gain” uses the same relationship, just solved the other direction. A 100% gain is wiped out by a 50% loss, and a 25% gain is wiped out by a 20% loss, which is worth sitting with before assuming a winning position is safer than it looks.

What to look at next

If this math is new to you, it’s worth pulling up your own account history and calculating your largest actual drawdown, not a hypothetical one. Compare it against the table above and see what recovery gain it implies. From there, position sizing and stop placement are the usual next topics, since they’re the two levers most directly connected to how deep a drawdown is allowed to get in the first place.

This article is general information, not financial advice. See our disclaimer.