What Is the Mathematical Formula for Calculating Impermanent Loss?

The most common formula to estimate impermanent loss is: IL = (2 sqrt(price_ratio)) / (1 + price_ratio) – 1. In this formula, 'price_ratio' represents the price of the token at the time of withdrawal divided by the price at the time of deposit.

This calculation gives the percentage of loss compared to simply holding the assets. It's crucial to remember this formula does not account for trading fees earned, which can offset the loss.

The calculation quantifies the divergence loss due to volatility between the two assets in the pool.

What Are the Limitations of the Standard Impermanent Loss Formula in Multi-Asset or Weighted Liquidity Pools?
What Are the Mathematical Formulas Used to Calculate Impermanent Loss in a Concentrated Liquidity Position?
How Does the Constant Product Formula (X Y=k) Directly Lead to the Phenomenon of Impermanent Loss?
How Can Path-Dependent Volatility, as Opposed to Simple Price Change, Affect the Actual Realized Impermanent Loss?
What Is the Mathematical Formula That Defines the Impermanent Loss Curve?
What Is ‘Impermanent Loss’ for a Liquidity Provider in a Smart Contract-Based DEX Pool?
How Is the Leverage Ratio of a Cryptocurrency Option Calculated?
How Is Historical Volatility Typically Annualized for Comparison with Implied Volatility?

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