Drawdown Recovery Calculator
The gain required to get back to flat after a loss, and why that number accelerates. The asymmetry is the strongest argument there is for a daily-loss limit.
- Balance after drawdown
- 8,000.00 USD
- Amount lost
- 2,000.00 USD
- Gain required to recover
- 25.00%
- Consecutive winning trades needed
- 22.4
| Drawdown | Gain to recover |
|---|---|
| −5% | +5.3% |
| −10% | +11.1% |
| −20% | +25.0% |
| −25% | +33.3% |
| −30% | +42.9% |
| −40% | +66.7% |
| −50% | +100% |
| −60% | +150% |
| −70% | +233% |
| −80% | +400% |
| −90% | +900% |
Required gain = d ÷ (1 − d), where d is the drawdown as a fraction. The asymmetry is the whole point: losses and the gains that undo them are not the same size, and the gap widens faster than intuition suggests.
The asymmetry
A loss and the gain that undoes it are not the same size, because they are calculated on different bases. The loss comes off your balance; the recovery has to be earned on what remains.
required gain = d ÷ (1 − d)
The denominator is what does the damage. At small drawdowns it is close to
1 and the required gain is barely larger than the loss. As d grows, 1
− d shrinks toward zero and the required gain runs away — which is
why the table climbs so steeply past 50%.
Why this is the argument for a loss limit
The usual framing of a daily-loss breaker is discipline, which makes it sound like a preference. It is not — it is arithmetic.
Stopping a bad day at 10% rather than 20% does not save you 10%. It saves you the difference between needing 11% to recover and needing 25% — more than twice the work, for twice the loss. At the larger end the effect is brutal: the difference between a 50% and a 70% drawdown is 20 points of loss and 133 points of required recovery.
The value of a limit is not the loss it prevents. It is the recovery it prevents you from needing.
Why limits should not be intentions
The moment a loss limit matters is the moment you least want to obey it — several losses in, convinced the next one comes back, with the arithmetic above working against you the whole time.
This is the reason to implement it as a function that rejects the order rather than a rule you are keeping in mind. A deterministic breaker behaves identically on the tenth trade of a bad day as on the first. That property is the entire value, and it is unavailable from anything that requires you to be in a good state to enforce it.
The same reasoning applies with more force when a model is drafting the trades, since a limit written into a prompt is a suggestion competing with everything else in the context — the approval-layer argument is the longer version.
A note on backtests
Maximum drawdown in a backtest is often read as a volatility statistic. Read it instead as a recovery requirement: a strategy showing a 60% maximum drawdown is a strategy that needed to make 150% to get back, and the question of whether it plausibly could is separate from whether the backtest says it did.
FAQ
Why does a 50% loss need a 100% gain to recover?
Because the gain is calculated on what is left, not on what you started with. Losing half of 10,000 leaves 5,000, and getting back to 10,000 from 5,000 means doubling it. The general formula is gain = d ÷ (1 − d), where d is the drawdown as a fraction, and the denominator shrinking is what makes the required gain accelerate.
What does this imply about loss limits?
That the cost of a drawdown is not linear in its size, so the value of stopping one early is much larger than it looks. Going from a 10% drawdown to a 20% one roughly doubles the loss but more than doubles the recovery required — 11% becomes 25%. A limit that ends a bad day at the smaller number is buying more than the difference between the two losses.
Does the number of trades shown account for losses along the way?
No. It is the count of consecutive winning trades at the rate you entered, with no losses interleaved, which is the most optimistic possible path. A realistic recovery mixes wins and losses and takes considerably longer. Treat it as a floor.
Is this the same as maximum drawdown in a backtest?
Related but not the same. Maximum drawdown measures the largest peak-to-trough decline a strategy experienced; this calculates what recovering from any given decline requires. The connection worth drawing is that a backtest reporting a large maximum drawdown is also reporting a recovery requirement that may be implausible in practice.