How much an account has to gain to get back to where it was after a loss, and how long that takes at a given yearly return. Losses and gains are not symmetrical.
| Loss | Gain needed | Years at 10%/yr | Years at 30%/yr |
|---|---|---|---|
| -10% | +11% | 1.1 | 0.4 |
| -20% | +25% | 2.3 | 0.9 |
| -30% | +43% | 3.7 | 1.4 |
| -40% | +67% | 5.4 | 1.9 |
| -50% | +100% | 7.3 | 2.6 |
| -60% | +150% | 9.6 | 3.5 |
| -70% | +233% | 12.6 | 4.6 |
| -80% | +400% | 16.9 | 6.1 |
| -90% | +900% | 24.2 | 8.8 |
gain needed = 1 ÷ (1 − loss) − 1years = ln(1 ÷ (1 − loss)) ÷ ln(1 + yearly return)
Each coin page shows that coin's deepest drawdown and how far it sits from its high today.
Because the gain is measured on the smaller amount. $10,000 that falls 50% is $5,000, and $5,000 has to double to get back to $10,000.
At a steady yearly return r, recovering from a loss L takes ln(1/(1−L)) ÷ ln(1+r) years. A 50% loss at 20% a year takes about 3.8 years; at 10% a year, over 7.
Bitcoin has fallen more than 75% from its high several times, and most altcoins have fallen 90% or more at some point. Each coin page lists its own worst drawdown.
This tool covers one position. Risk X-Ray aggregates your whole book into true effective leverage and a liquidation-cascade map.
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