Impermanent Loss is a popular concept when it comes to automated market makers and decentralized exchanges like Uniswap. This term is often defined as the percentage loss a liquidity provider would experience for a given price movement. This means that, as an LP, your position may fall in value due to volatility, causing a loss compared to holding these assets outside of the pool. This article will spell out the concept in mathematical logic and explain all the assumptions involved. We consider a market with liquidity L and amounts x and y of assets X and Y respectively. We also have P as the price of X in terms of Y, and a price movement P1 = P.d where d >0 According to the definition of IL touched upon, we establish a generic formula for IL: where: V1 is the value of your position in the pool at the price P1 (x,y move with price) Vh is the value of your assets at the price P1 if you keep them outside of the pool We also consider V0 as the initial value of your hol...