What it shows: the gain needed to recover from a drawdown is a fixed mathematical identity — gain = loss ÷ (1 − loss) — so a −50% fall needs +100%, not +50%. The recovery time depends on the annual return you assume.
This is pure arithmetic, not a simulation — the only assumption is your recovery-return slider. Educational, not investment advice; real markets don't recover on a schedule.
Set the fall
Pick how far the market drops, and the annual return you expect on the way back up. The maths does the rest — no simulation, just arithmetic.
A 50% fall needs a 100% gain to undo
Losing 50% doesn't take a 50% gain to fix — it takes +100%, because you're now climbing from a smaller base. At 8% a year that's about 9.0 years just to get back to where you started. The deeper the hole, the more savagely non-linear this gets — which is exactly why selling in a panic near the bottom (and then waiting to “feel safe” before buying back) does such lasting damage.
The asymmetry
The fall
−50%
Gain to recover
+100%
Years to break even
9.0
The green bar is always longer than the red one — and pulls away fast as losses deepen. That gap is the asymmetry of compounding.
The climb back
Starting from the trough at 50% of the old peak, compounding at 8%/yr. The recovery assumption is yours to set — markets don't recover on a schedule.
Reading this
Loss asymmetry is why avoiding deep drawdowns matters — and also why bailing out after a big fall is so dangerous: you lock in the loss and then need an even bigger move, which you'll likely miss if you wait to feel safe (see the cost of missing the best days). The behavioural side of this is in the biases that sabotage timing and the psychology of market cycles.
Frequently asked
- Why does a 50% loss need a 100% gain to recover?
- Because once you have lost half your money, the gain is measured against the smaller remaining base. If $100 falls to $50 (−50%), getting back to $100 is a $50 rise on a $50 base — that is +100%. The formula is gain = loss ÷ (1 − loss), and it gets harsher the deeper the fall: −20% needs +25%, −50% needs +100%, −80% needs +400%.
- How long does it take to recover from a drawdown?
- It depends entirely on the return you earn on the way back. At an 8% annual return, recovering from a 50% drawdown takes about nine years just to reach your old peak. Real markets do not recover on a schedule — some drawdowns recover in months, others take a decade — so treat the time estimate as illustrative.
- What does this have to do with market timing?
- Loss asymmetry is why deep drawdowns are so damaging — and why panic-selling near the bottom is doubly costly. You lock in the loss, then need an even larger gain to recover, and you are likely to miss the sharp rebound while waiting to feel safe. Avoiding the worst declines sounds appealing, but in practice it usually means missing the best days too.
- Is this a simulation?
- No — the gain-to-recover figure is a fixed mathematical identity, and the recovery time is simple compounding at the rate you choose. The only assumption is your recovery-return slider. It is educational, not investment advice.