One drop versus several
A single drop is one multiplication: remaining value = capital × (1 − drop).
Consecutive drops multiply together: remaining ratio = (1 − drop₁) × (1 − drop₂) × …. The second drop is measured on what is left, so two 20% drops are not the same as one 40% drop.
Formulas
capital × (1 − drop)(1 − drop₁) × (1 − drop₂) × …1 − remaining ratioWorked example (recompute it yourself)
Capital 5,000 USDT, price falls 20%: remaining = 5,000 × 0.80 = 4,000 USDT.
It then falls another 20%: remaining = 4,000 × 0.80 = 3,200 USDT, a cumulative drop of 1 − 0.64 = 36%, not 40%.
In a different order — 30% then 10%: 5,000 × 0.70 × 0.90 = 3,150 USDT, a cumulative drop of 37%, again not 40%.
Remaining value at different drops
| Drop | Remaining | Left from 5,000 USDT | Left from 10,000 USDT |
|---|---|---|---|
| −10% | 90% | 4,500 USDT | 9,000 USDT |
| −20% | 80% | 4,000 USDT | 8,000 USDT |
| −30% | 70% | 3,500 USDT | 7,000 USDT |
| −50% | 50% | 2,500 USDT | 5,000 USDT |
| −80% | 20% | 1,000 USDT | 2,000 USDT |
Ratio conversion only, excluding fees.
The multiplying effect of consecutive drops
| Path | Remaining | Left from 5,000 USDT | Cumulative drop |
|---|---|---|---|
| Two drops of −20% | 64.00% | 3,200 USDT | −36.00% |
| Three drops of −20% | 51.20% | 2,560 USDT | −48.80% |
| Two drops of −50% | 25.00% | 1,250 USDT | −75.00% |
Consecutive drops multiply; the more legs there are, the further the result drifts from simply adding the percentages.
Notes
This measures the change in position value only, excluding fees, slippage and withdrawal costs. With costs, the real remainder is smaller.
Remaining value and "how much is needed to recover" are two directions of the same problem; the recovery figure is always larger — see the recovery-gain guide.
This page is arithmetic based on the drop you enter. It contains no view on future prices.
FAQ
Why are two 20% drops not a 40% drop?
The second drop applies to the remaining 80%, so it removes 20% of 80% — that is 16%. The two legs total 36%. Drops add only within the same period; across periods they multiply.
Can I derive the drop from the remaining value?
Yes. Remaining ratio = remaining value ÷ capital, and drop = 1 − remaining ratio.
How much difference do fees make?
The buy fee reduces the coins you receive and the sell fee deducts again. At 0.1% on both sides the cost is roughly another 0.2% of ratio; the larger the move, the larger the absolute gap.