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A-02Article

The simple math behind drawdowns

After a loss, you need a larger gain to get back to even. Small numbers make the point clear.

Filed under
Risk management
Reading time
1 min read
Instrument
T-05
Contents 6 sections

In depth

If an investment falls 20%, you need a 25% gain on what is left to return to your starting balance—not 20%. Larger drops require even larger recoveries. That math is why risk control matters, especially if you are taking money out soon. Calculators on this site can illustrate the arithmetic; they do not predict markets or replace a plan built for you.

Key points

  1. A 50% loss needs a 100% gain to fully recover.
  2. Withdrawals during a drawdown can lock in losses.
  3. Use scenarios, not a single optimistic return.

Worked figure

Fig. 1Gain needed to get back to even
LossGain neededScale
−10%+11.1%
−20%+25%
−30%+42.9%
−50%+100%
−75%+300%
Arithmetic: gain = loss ÷ (100 − loss). No fees, withdrawals or time are assumed. Try your own numbers in the drawdown recovery calculator.

Run the numbers

T-05Drawdown recovery calculatorChange the inputs and read the result. It runs in your browser.

Not investment advice

Articles and calculators on this site are for learning. They are not a recommendation to buy or sell any security, and they are not tailored to your personal situation.

  1. Education vs personal advice. If you work with an adviser, that relationship has its own agreements and disclosures. Reading here does not replace that.
  2. No outcome guarantees. Markets are uncertain. We write to explain ideas and trade-offs—not to promise returns or timing.