Drawdown recovery calculator
The percentage gain required to recover from a drawdown is non-linear and asymmetric. A 50 percent drawdown requires a 100 percent gain to recover. A 75 percent drawdown requires a 300 percent gain. Most retail traders intuitively underestimate how steeply the recovery math rises. Calculator below returns the exact recovery gain and the time required at any annualised return.
Calculator
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Why drawdown recovery is non-linear
Gains and losses do not compound symmetrically. A 50 percent loss does not require a 50 percent gain to recover; it requires a 100 percent gain. The math:
Start with AUD 100,000. Lose 50 percent. Remaining equity: AUD 50,000. To return to AUD 100,000, the remaining AUD 50,000 must double, which is a 100 percent gain. The recovery requirement is not the inverse of the drawdown; it is the gain needed to multiply remaining equity back to original equity.
The relationship is governed by:
This produces a sharply accelerating curve. Small drawdowns recover with proportional gains. Large drawdowns recover with disproportionate gains. The breakpoint where the math becomes prohibitive is around 30-40 percent drawdown, which is why institutional risk frameworks treat that range as a hard stop.
The formula
Recovery gain required:
Time to recover at annual return r:
The time formula assumes constant forward annual returns. In practice the time is usually longer because:
- Drawdowns reduce psychological tolerance, often producing under-sized positions during recovery
- The underlying edge often was over-estimated, and the drawdown is the signature of the actual weaker edge
- Market regimes change; the strategy that produced the pre-drawdown returns may not produce the same returns going forward
Drawdown vs recovery table
| Drawdown | Equity remaining | Recovery gain required | Years to recover at 10% p.a. |
|---|---|---|---|
| 5% | 95% | 5.3% | 0.5 |
| 10% | 90% | 11.1% | 1.1 |
| 15% | 85% | 17.6% | 1.7 |
| 20% | 80% | 25.0% | 2.3 |
| 25% | 75% | 33.3% | 3.0 |
| 30% | 70% | 42.9% | 3.7 |
| 40% | 60% | 66.7% | 5.4 |
| 50% | 50% | 100.0% | 7.3 |
| 60% | 40% | 150.0% | 9.6 |
| 75% | 25% | 300.0% | 14.5 |
| 90% | 10% | 900.0% | 24.2 |
The table shows why institutional risk frameworks treat 20 percent drawdown as a soft stop and 30 percent as a hard stop. Above 30 percent the recovery math becomes prohibitive for any realistic forward return assumption.
Institutional drawdown thresholds
Three reference points for institutional drawdown management:
- Hedge fund LP redemption thresholds. Most institutional LPs (limited partners investing in hedge funds) trigger redemptions if drawdown exceeds 20 percent. This caps the fund's tolerance because LP redemptions during drawdown can force forced selling, accelerating the drawdown further.
- Prop trading desk trader stops. Individual traders on prop desks have drawdown stops typically set at 5 to 15 percent of allocated capital. Exceeding the stop ends the trader's funding, regardless of the underlying edge quality. The asymmetry is by design: the firm prefers to fire profitable traders prematurely than to keep losing traders too long.
- Family office and pension manager limits. Long-only managers responsible for retirement capital typically operate with 15 to 20 percent drawdown limits. Above that level, mandate review is automatic; above 25 percent, mandate termination is common.
Retail trading lacks these structural circuit breakers. Retail traders frequently allow drawdowns into the 40-70 percent range before reducing risk, by which point the recovery math is mathematically prohibitive. The calculator above surfaces the math so retail traders can impose their own thresholds before psychological mechanisms force them to.
Related tools
- Risk of Ruin Calculator - the probability of experiencing a given drawdown. Pairs with this calculator: ruin probability tells you the chance of drawdown, recovery math tells you the cost of drawdown.
- Kelly Criterion Position Sizer - the bet size that controls drawdown risk before it occurs.
- Expectancy + Profit Factor Calculator - verify your edge is still positive during a drawdown before continuing.
Frequently asked questions
Recovery gain = 1 / (1 - drawdown) - 1. For a 10 percent drawdown the recovery gain required is 11.1 percent. For a 25 percent drawdown the recovery gain is 33.3 percent. For a 50 percent drawdown the recovery gain is 100 percent. For a 75 percent drawdown the recovery gain is 300 percent. The math is non-linear and accelerates sharply above 30 percent drawdown. This is one of the most under-appreciated dynamics in retail trading.
Time to recover = ln(1 / (1 - drawdown)) / ln(1 + annual return). For a 20 percent drawdown at 10 percent annual return, time to recover is 2.3 years. For a 50 percent drawdown at 10 percent annual return, time to recover is 7.3 years. For a 75 percent drawdown at 10 percent annual return, time to recover is 14.5 years. Real-world recovery times are usually longer because drawdowns reduce psychological tolerance for risk, which often produces under-sized positions during recovery.
Because gains and losses compound asymmetrically. A 50 percent loss reduces equity to half. To return to the original equity, the remaining half must double, which requires a 100 percent gain. A 75 percent loss leaves 25 percent of equity, which must quadruple (a 300 percent gain) to recover. The mathematical relationship is recovery = 1 / (1 - loss) - 1. This non-linearity is why institutional risk frameworks impose hard stops at 15-25 percent drawdown; beyond that level the recovery math becomes prohibitive.
Most institutional fund managers operate with hard drawdown stops at 15 to 25 percent. Hedge funds reporting to LP investors typically face redemptions if drawdown exceeds 20 percent. Prop trading desks impose trader-specific drawdown stops at 5 to 15 percent of allocated capital. Above 30 percent drawdown the recovery math is generally considered prohibitive: at 10 percent annual return, recovery takes 3.5 years and assumes consistent forward performance, which is unlikely after a major drawdown event.
Drawdown recovery is the deterministic math of what it takes to recover from a given drawdown size. Risk of ruin is the probability of experiencing a given drawdown size in the first place. Drawdown recovery answers: if I lose X percent, how do I get back. Risk of ruin answers: what is the probability I will lose X percent over my trade horizon. Both metrics matter; institutional risk frameworks track both.
Counterintuitively, no. Reducing position size during a drawdown extends the recovery time. Maintaining the same fractional position sizing (Kelly-equivalent risk per trade as a percentage of remaining equity) produces the fastest mathematical recovery. The psychological temptation to reduce size after losses is well-documented and consistently produces longer recoveries. The correct response to drawdown is to verify that the underlying edge is still positive (use the Expectancy Calculator) and continue trading at the same fractional sizing unless the edge has demonstrably degraded.
Three reasons combine. First, the math is harder than they intuitively expect; many traders compute a 50 percent drawdown as requiring 50 percent gain to recover, which is wrong. Second, drawdowns often degrade the trader's psychological discipline, producing larger losses, over-sized recovery attempts, or premature size reductions. Third, the underlying edge often was over-estimated to begin with, and the drawdown is the statistical signature of the actual (weaker) edge. Recovery requires the edge to be both real and stable, which after a major drawdown is often not the case.
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