Impermanent loss is the difference in total portfolio value between depositing tokens into an automated market maker (AMM) liquidity pool versus holding those same tokens in an external wallet.
Mechanics and Divergence Thresholds
Automated market makers maintain mathematical balance formulas, such as the constant product invariant. When external market prices shift, arbitrageurs trade with the pool until the pool ratio matches external market quotes. During this process, arbitrageurs extract the appreciating asset and deposit the depreciating asset.
As a result, a liquidity provider ends up with fewer units of the outperforming asset and more units of the underperforming asset compared to pure holding.
Impermanent loss occurs regardless of whether an asset price increases or decreases relative to its paired asset. The loss magnitude depends entirely on the ratio divergence between the two assets since deposit:
- Extreme Relative Price Shifts: In a standard constant product pool (x * y = k), a 2x relative price change produces approximately a 5.7 percent loss compared to holding. A 5x price divergence results in a 25.5 percent loss, and a 10x shift results in a 42.5 percent loss.
- Concentrated Liquidity Multipliers: In concentrated liquidity AMMs, price ranges bound active capital. If the spot price breaches the configured tick range, the position converts entirely into the depreciating asset, compounding relative losses more rapidly than full range pools.
- Permanent Realization via Extraction: Divergence remains unrealized while assets remain in the pool. Withdrawing liquidity before the original price ratio restores permanently locks in the balance disparity.
- Asymmetric Depegging: In correlated or pegged pools, an unintended depeg forces the pool algorithm to absorb the decaying asset while shedding the stable asset, resulting in severe unrecoverable loss.
Impermanent Loss vs. Absolute Market Loss
Impermanent loss is strictly an opportunity cost metric relative to an identical buy-and-hold strategy. If both deposited tokens decline in market value by 50 percent while maintaining an identical relative price ratio, impermanent loss is zero, even though the provider suffers absolute market depreciation. Conversely, if one asset surges substantially in dollar value, the provider achieves positive dollar returns, yet still experiences impermanent loss because holding the bare assets would have yielded higher total value. Accumulated trading fees and protocol incentives serve to offset this divergence delta.