What you will learn
- Define a drawdown and maximum drawdown
- Compute the gain needed to recover from a loss
- Understand why deep losses are so dangerous
- See why avoiding drawdowns beats chasing gains
Volatility and VaR describe risk in statistics. The drawdown describes it in pain. It is the risk measure an investor actually feels, and the arithmetic of climbing out of a drawdown is harsh enough to change how you think about losses.
Maximum drawdown explained (Ryan O'Connell)
Defines maximum drawdown as a risk measure and shows how to compute it. Focus on the peak-to-trough idea.
What a drawdown is
A drawdown is a decline in a portfolio's value from a previous peak, measured as the percentage drop from that high. If a portfolio rises to a peak and then falls, the drawdown at any moment is how far below the peak it currently sits. The maximum drawdown over a period is the largest such peak-to-trough fall, and it is one of the most important downside-risk measures because it captures the worst loss an investor would have had to live through. Where volatility describes typical wobble, drawdown describes the depth of the actual hole.
The brutal arithmetic of recovery
Here is the fact that should change how you view losses. Recovering from a loss requires a percentage gain larger than the loss, and the gap widens fast as losses deepen.
- loss = the drawdown, as a decimal
- recovery gain = percent gain needed to break even
A 10 percent loss needs about an 11 percent gain. A 25 percent loss needs a 33 percent gain. A 50 percent loss needs a 100 percent gain, a full doubling, just to break even. A 90 percent loss needs a 900 percent gain. Losses and gains are profoundly asymmetric: the deeper the hole, the disproportionately steeper the climb out.
Key terms
- Drawdown
- The percentage decline from a previous peak in portfolio value.
- Maximum drawdown
- The largest peak-to-trough decline over a period, a key downside-risk measure.
- Recovery gain
- The percentage gain needed to return to the prior peak: loss divided by (1 minus the loss).
The gain needed to recover
A portfolio falls 20 percent from its peak. What percentage gain is needed to get back to the peak?
- Write the formula. Recovery gain is the loss divided by (1 minus the loss).
- Plug in. 0.20 divided by (1 minus 0.20), which is 0.20 divided by 0.80.
- Compute. 0.20 over 0.80 is 0.25, or 25 percent.
Why it matters: The recovery gain (25 percent) is already bigger than the loss (20 percent), because you are growing from a smaller base. The deeper the loss, the wider this gap grows.
Recover from a 40 percent loss
A portfolio falls 40 percent. What percentage gain is required to return to its previous peak? (Give a percent, to one decimal.)
| Loss | Gain needed to break even |
|---|---|
| 10% | About 11% |
| 25% | About 33% |
| 50% | 100% |
| 75% | 300% |
| 90% | 900% |
A 50 percent loss needs a 100 percent gain just to break even. The math of recovery is why avoiding deep losses beats chasing big gains.
A 50 percent loss needs a 100 percent gain to recover (TabletClass Math)
Drives home the recovery asymmetry that many investors get wrong. Watch the simple arithmetic.
Why drawdowns drive everything in risk management
This asymmetry sits under much of this unit. Because deep losses are so disproportionately hard to undo, avoiding catastrophic drawdowns matters far more than squeezing out extra gains in good times. It is why position sizing forbids any single loss from growing large, why diversification and hedging exist to limit the downside, and why risk management as a whole prioritizes survival and protecting capital. A portfolio that avoids deep drawdowns can compound steadily for decades, while one that suffers a catastrophic loss may never recover, no matter how brilliantly it performs afterward.
Drawdowns also have duration, and drive behavior
Beyond depth, drawdowns have duration, the time spent below the old peak, sometimes called the underwater period, which can drag on for years and test patience as harshly as the loss tested nerves. Drawdowns also drive behavior: it is precisely during deep drawdowns that investors are most tempted to abandon a sound strategy and sell at the very bottom, turning a paper loss into a permanent one. A strategy that looks excellent on paper is worthless if its drawdowns are so severe the investor bails at the trough, which is exactly where the next lesson, on behavioral pitfalls, picks up.
Match the loss to its recovery gain
Why fear deep losses?
In your own words, explain why a 50 percent loss is so much more damaging than a 25 percent loss, using the recovery math.
Write an answer before comparing it with the model response.
Model answer
The gain needed to recover grows faster than the loss itself, because after a loss I am rebuilding from a smaller base. A 25 percent loss only needs about a 33 percent gain to break even, which is demanding but plausible. A 50 percent loss needs a 100 percent gain, a full doubling, just to get back to where I started, which is far harder and can take many years. So the damage is not merely twice as bad, because the recovery required is disproportionately steeper. That is why avoiding deep drawdowns matters so much more than chasing extra gains, and why risk management focuses on protecting against large losses.
Drawdowns test not just your capital but your nerves, and it is under that stress that investors make their worst decisions. The next lesson looks at hedging, one direct way to limit the downside that causes those drawdowns.