Why LVR is replacing "impermanent loss" in serious LP analysis
Impermanent loss compares an LP's final position to simply holding the two assets — a path-independent snapshot that hides how the loss actually accrues. Loss-Versus-Rebalancing, introduced by Milionis, Moallemi, Roughgarden and Zhang in 2022, instead compares the pool continuously to a benchmark that rebalances alongside the market at zero cost. The gap between the two is exactly what arbitrageurs extract every time they trade against a stale AMM price before the pool updates — a real-time toll, not just an end-of-period accounting artifact. It's the reason Uniswap v4 hooks, CoW AMM's batch auctions and other MEV-aware designs exist: they try to claw some of that arbitrage value back for LPs. Compare it with the classic snapshot view in the impermanent loss calculator.
Reading the numbers
For any AMM with a smooth demand curve — including full-range and concentrated-liquidity pools — the instantaneous LVR rate is remarkably simple: σ² ÷ 8 of pool value per year, where σ is the asset's annualised volatility as a decimal. A pool on an asset with 70% annualised volatility bleeds about 6.1% of its value per year to arbitrageurs before a single trading fee is counted. Scale that to your holding period (days ÷ 365) and multiply by your capital to get the dollar drag.
That drag isn't the whole story: LPs also collect trading fees. Enter the fee APR you're actually earning (or expect to earn) from the pool, and the calculator nets it against the LVR cost for the same period. If fees clear the LVR line, the position is compensating you properly for the adverse selection risk; if fees fall short — typical during a volatility spike when trading fees haven't caught up yet — you're subsidising arbitrageurs. The "breakeven fee APR" shown is exactly σ²÷8 expressed as a percentage: the minimum annualised fee yield needed to offset LVR at that volatility level.
Concentrating liquidity into a tight range (Uniswap v3/v4 style) doesn't change this formula — it scales both your fee income and your LVR exposure by roughly the same capital-efficiency multiplier, so the breakeven fee APR stays the asset's σ²÷8 regardless of how tight your range is. Widening your range doesn't dodge LVR either; it just dilutes both fees and losses across a bigger price band. See how range width interacts with fee capture in the concentrated liquidity range calculator and cross-check raw fee capture with the LP fee calculator.