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CryptocurrencyILdivergence loss

Impermanent Loss

Impermanent loss is the temporary reduction in value that a liquidity provider experiences when the price ratio of two assets in an automated market maker pool diverges from the ratio at the time of deposit, resulting in a portfolio worth less than if the provider had simply held the assets outside the pool.

Formula
IL = 2 * sqrt(price_ratio) / (1 + price_ratio) - 1

Impermanent loss is one of the most important and least intuitively obvious concepts in decentralized finance. It arises directly from how automated market makers maintain price balance between two pooled assets. When a liquidity provider deposits assets into a constant-product AMM at a given price ratio, the protocol automatically sells whichever asset appreciates and buys whichever depreciates to maintain the invariant. As a result, the provider's share of the pool contains more of the underperforming asset and less of the outperforming one compared to a passive hold strategy.

Consider a simple example. A liquidity provider deposits equal values of ETH and USDC into a pool when ETH trades at 1,000 USDC. If ETH later trades at 4,000 USDC, the pool rebalances so that the LP holds roughly half as much ETH as they deposited (since the ETH was continuously sold as it appreciated) and far more USDC. The total dollar value of their pool share is approximately 2,000 USDC at the new price — but if they had simply held the original ETH and USDC outside the pool, they would have approximately 2,500 USDC worth of assets. The 500 USDC difference is the impermanent loss.

The loss is called impermanent because if the price returns to its original ratio, the divergence disappears and the LP recovers their original value (minus fees). However, if the LP withdraws while prices remain diverged, the loss crystallizes and becomes permanent. In practice, the term impermanent loss is somewhat misleading — many LPs withdraw at different price ratios and absorb real losses.

Trading fees collected by the pool partially or fully offset impermanent loss. High-volume pools with low price volatility — such as stablecoin-to-stablecoin pairs — generate substantial fee income while experiencing minimal impermanent loss because prices rarely diverge. Conversely, pairing two volatile assets with low correlation maximizes impermanent loss risk. Advanced AMM designs such as Uniswap V3 concentrated liquidity and Curve Finance stable swap invariant were developed specifically to allow liquidity providers to reduce impermanent loss exposure by concentrating capital in price ranges where most trading occurs.

For investors evaluating DeFi yield opportunities, impermanent loss is a key consideration. Published APY figures for liquidity mining programs often reflect fee income and token incentives but do not account for impermanent loss, which can substantially erode or eliminate returns. Calculating the break-even fee income required to offset expected impermanent loss — given the volatility characteristics of the paired assets — is essential due diligence before committing capital to any AMM liquidity position.

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Educational only. This glossary entry is for informational purposes and does not constitute investment, tax, or legal guidance. Please consult a registered investment professional before making any investment decision.