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Drawdown vs Recovery Asymmetry — Why a −50% Loss Needs +100% to Break Even

2026.05.31 · Multifolios operator · 한국어 ↗

A loss is always harder to recover than a same-size gain. If $100,000 falls to $50,000 (−50%), getting back to $100,000 means that $50,000 has to earn another $50,000 (+100%). This asymmetry is simple arithmetic, but it's the real mechanism that erodes the long-term returns of volatile assets — and it's the key criterion when you decide on a loss limit.

1. The recovery-return formula

To recover an x% loss back to break-even, the required return y is:

y = x / (1 − x)

When x is small, y ≈ x, so they're nearly the same — but as x grows, y explodes.

Loss (x)Return to break even (y)Multiple (y / x)
−10%+11.1%1.11×
−20%+25%1.25×
−30%+42.9%1.43×
−50%+100%2.00×
−70%+233%3.33×
−90%+900%10.0×

2. Why this asymmetry exists

It's the asymmetry of multiplication. Going from $1,000,000 to $500,000 is a ×0.5 multiplication. Going from $500,000 back to $1,000,000 is a ×2 multiplication. The two multiplications have to combine to 1 for you to break even. The partner of 1/2 is 2 — that is, +100% (= 2×) is the break-even counterpart of −50%.

By the same principle:

Key point

When the depth of the loss doubles, the required recovery return doesn't simply double — it grows by more than that. Between single-digit-% losses the two sides are nearly symmetric, but past 30% the asymmetry widens rapidly.

3. Real-world market recovery times

Historical cases of how long it took to get back to break-even after a big decline — based on the US S&P 500:

PeriodMax drawdown (MDD)Time to break even
1929 Great Depression−86%~25 years
1973–74 oil shock−48%~7.5 years
2000 dot-com bubble−49%~7 years
2008 financial crisis−57%~4 years
2020 COVID−34%~5 months
2022 inflation/rates−25%~1.5 years

Because the required recovery return is larger, as long as the market recovers at its average pace, the time also stretches asymmetrically. The deeper the decline, the more of your life you spend recovering.

4. The real reason for setting a stop-loss limit

This asymmetry is exactly the answer to "why should I decide to cut at −10% or −20%." If you cut at −10%, you only need an 11.1% recovery to break even. But if you let it fall to −50%, recovery now requires +100%.

Especially for volatile holdings such as individual stocks or leveraged assets, if no limit is set:

⚠ Stop-loss vs diversification

Setting a limit (stop-loss) is an individual-stock / short-term-trading perspective. For a broad market index ETF, even a −30% MDD is almost guaranteed to recover over the long run, so diversification and steady contributions are more effective than a stop-loss. Don't treat the two strategies as the same tool.

5. Using loss limits in Multifolios

Multifolios offers per-holding price alerts (priceAlert). Two thresholds:

If you set the below threshold at the time you buy, then during a market crash a preset limit sends you an alert instead of an emotional decision. If you set the limit using this article's asymmetry table:

6. One-line summary

Recovery return y = x / (1 − x). The deeper the loss, the more asymmetrically hard the recovery. A limit isn't a function of "the loss depth you can tolerate" but of "the recovery time you can tolerate."

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Multifolios operator
Individual investor & developer · Creator of Multifolios
I built Multifolios after struggling to track assets scattered across brokers and currencies. These notes come from problems I hit while actually managing the portfolio — return math, FX isolation, rebalancing. Contact: About & contact
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