How do I calculate percentage change?

Percentage change = (new price ÷ old price − 1) × 100. Negative is a loss, positive a gain. For a loss, the recovery % is larger than the loss % — that asymmetry matters.

Why does a 50% loss need a 100% gain?

Because the gain is measured on the smaller remaining balance. Lose half and you must double what's left to break even. This is why avoiding big drawdowns matters more than chasing big gains.

Percentage Gain / Loss Calculator

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Losses and recoveries aren't symmetric

Down 50% needs +100% back; down 80% needs +400%. This asymmetry is why survival beats heroics. See it in position terms on the drawdown recovery calculator.

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Gains and losses are not symmetric

Lose 50% and you need a 100% gain to recover. Lose 25% and you need 33% to get back. This asymmetry is the math behind why drawdown management matters more than maximizing upside. A 10% loss requires an 11.1% gain to recover. A 90% loss requires a 900% gain.

The formula is straightforward: percentage change = (new − old) ÷ old × 100. For recovery percentage: recovery_needed = (1 ÷ (1 − loss_pct)) − 1. Lose 40% (0.40): recovery = 1/(1−0.40) − 1 = 66.7%.

At leverage, both sides scale. At 10x, a 5% price move against you is 50% of collateral lost. At 5% price move in your favor, 50% gain on collateral. The percentage gain/loss on collateral = price_change% × leverage. A 10% price drop at 10x leverage is a full wipeout.

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