Does Impermanent Loss Occur If Both Tokens’ Prices Double Simultaneously?

No, impermanent loss does not occur if both tokens' prices double simultaneously, because the price ratio between the two tokens remains unchanged. Impermanent loss is solely a function of the divergence in the price ratio from the time of deposit.

If the ratio is constant, the pool rebalancing mechanism does not trigger, and the LP's portfolio value relative to a hold strategy is identical.

Does Leverage Change the Actual Price Movement of the Underlying Asset?
Can a Trader Have Both Isolated and Cross Margin Positions Simultaneously?
Can a Single Options Trade Be Executed across Both an RFQ Platform and a CLOB Simultaneously?
How Does a Sudden Change in Volatility Affect the Margin Ratio?
Does a Liquidation Cascade Only Occur in a Downward Price Movement?
Define “Impermanent Loss” in Terms of the Price Movement and the Pool’s Ratio Change
How Does Slippage in a Trade Relate to the Concept of Impermanent Loss for the Pool?
What Is the Minimum Price Change Required to Incur Impermanent Loss?

Glossar