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Impermanent Loss — the single most important number for an LP

What is Impermanent Loss?

Impermanent Loss (IL) is the loss you take as an LP, compared with simply holding your money in your wallet. It isn't a surprise — it's a known, calculable trade-off, and this lesson will teach you to measure and evaluate it yourself.

A market analogy

Imagine you have apples and pears at the market. You trade some of your apples for pears. The next day the apple price doubles — but you'd already given some away! That "lost profit" is exactly what Impermanent Loss is.

Why 'Impermanent'?

It's called "impermanent" because:

  • If the price returns to its starting point — the loss disappears
  • If the price doesn't return — the loss becomes permanent

In reality, the price rarely returns exactly, so IL is usually permanent.

0%−5%−10%−50%0%+100%kainos pokytis nuo įėjimoImpermanent Loss vs HODL

Notice: the FURTHER the price drifts from your entry point (in either direction), the bigger the IL. Right at the entry point (0%) IL is zero.

The IL formula

Classic-style AMM (Uniswap V2)

The simplest formula, for liquidity spread from $0 to infinity:

IL = 2 × sqrt(r) / (1 + r) - 1

Where r = new price / old price

Price changeILHow much you lose
−50%−5.72%Moderate
−30%−1.57%Small
−20%−0.62%Very small
0% (unchanged)0%Nothing
+20%−0.41%Very small
+50%−2.02%Small
+100%−5.72%Moderate
+200%−13.40%Large

Concentrated LP — IL is much bigger!

In concentrated LP positions, IL is much bigger, because your capital is packed into a narrower range:

Concentrated IL ≈ Plain IL × Concentration factor

A narrower range = bigger IL (and bigger fees)

The narrower your bounds, the more you earn in fees — and the bigger your IL. These are two sides of the same coin. In practice this means: when you see a narrow range, ask yourself "what risk am I being paid these higher fees for?" — and choose your range deliberately, not blindly.

Range widthHow much bigger IL isIL at a −20% price move
Full range ($0–infinity)1x−0.62%
$70–$110 (±22%)~9x−5.7%
$80–$100 (±11%)~14x−8.8%
$85–$95 (±6%)~16x−10.1%

Note: as the range narrows, this multiplier doesn't grow without limit — the price exits a narrow range quickly, and beyond it IL grows more slowly.

⚠️
Concentrated LP amplifies BOTH your income AND your loss. Bigger fees compensate for bigger IL, but only as long as the price stays inside the range.

The key insight: LP ≈ Short Straddle (profit from a calm market)

An LP position = a sold insurance policy

An LP position behaves like an insurance company: if nothing bad happens (price stays put) — the fees you collect are pure profit. If something bad does happen (price swings hard) — you have to pay out (the IL loss).

When the price is calm → You collect fees → Profit When the price swings hard → IL exceeds fees → Loss

A visual explanation

P&L (profit/loss)
 ^
 |     Fees
 |    ╱‾‾‾‾‾‾‾╲        ← Price stays put = profit
 |   ╱           ╲
 |──╱─────────────╲──── ← Breakeven point
 | ╱                 ╲
 |╱                   ╲ ← Price swings hard = loss
 └───────────────────────→ Price
      Lower    Current   Upper
      bound              bound

What this means

What happensLP outcome
Price +5% in a monthFees > IL → profit
Price −5% in a monthFees > IL → profit
Price −30% in a monthIL > fees → loss
Price +50% in a monthIL > fees → loss
Price unchangedMaximum fees → profit

A worked example

Starting data:

Scenario: SOL drops 30% to $61.60

Calculating the IL

What happens inside the LP position:

  1. The price drops below the lower bound ($64)
  2. The entire USDC position "converts" into SOL (the LP automatically buys SOL all the way down from $88 to $64)
  3. That SOL is now worth less than your original USDC was

The math:

  • Starting value: $3,200 USDC
  • SOL received: ~42.6 SOL (average purchase price ~$75 — the geometric mean of $64–$88)
  • SOL value now: 42.6 × $61.60 ≈ $2,624
  • IL = −$576 (−18%)

But fees collected over the month:

  • $5.95 × 30 = $178.50

Net result: $178.50 − $576 = −$397.50 (a loss)

Even a high ~68% APR only covers part of the loss when the price runs all the way through the range. This is exactly why, in our strategies, downside risk gets an extra layer of options protection (see below).

How our strategies manage IL

Strategy A — LP + options protection

ComponentRole
LP positionEarns fees
Long Put SpreadProtects against a drop (offsets IL to the downside)
Short CallExtra income lowers the cost of the insurance

Strategy B — in detail

ComponentDeltaIL protection
LP position+11.5 SOLGenerates the IL itself
Long Put $90−84 SOLPrimary protection
Short Put $65+18 SOLFunds the protection
Short Put $60+12 SOLExtra funding
Short Call $160−4 SOLExtra income
Net options−58 SOL (~−81 with adjustments)Covers ~64%

Ways to reduce IL

ApproachHow it worksEffectiveness
Wider rangeLower IL, but also lower incomeModerate
Single-sided LPOnly the USDC side — less ILHigh
Options protectionPut protection against a dropHigh (but costs money)
Frequent fee collectionIncome gets "locked in" ahead of ILModerate
Dynamic fee (Meteora)Higher fee when IL is at its worstModerate-high

When do fees cover the IL?

Once you can read this table, you'll be able to say in advance, for a given price move, whether a specific position is still profitable — a skill that turns LP-ing from "guessing" into a calculated decision.

The key question — do you earn more than you lose:

Breakeven = Fees over the period ≥ IL over the period
SOL drop in a monthIL ($3,200 position, range $64–$88)Fees (~68% APR)Result
−5%−$14+$178+$164 profit
−10%−$57+$178+$121 profit
−15%−$132+$178+$46 profit
−20%−$242+$178−$64 loss
−30% (out of range)−$576+$178−$398 loss

Breakeven — around a −17% drop: up to that point, fees still cover the IL. If the price rises above $88 this position takes no IL (it was opened at the upper bound, 100% USDC), but above the range fees stop accruing too.

Try it yourself

Impermanent Loss Kalkuliatorius

$
$
$10$300
$
$
$
Kainos diapazonas
$64
$88
$88
Virs diapazono — fees negeneruojamos
Impermanent Loss
0.00%
LP value
$3,200
HODL value
$3,200
Skirtumas
+$0

Glossary

TermMeaning
Impermanent LossThe value lost in an LP position due to a price change
Concentration factorHow many times bigger IL gets from a narrower range
Short StraddleAn options strategy that profits when the price is calm
Breakeven APRThe minimum APR needed for fees to cover the IL

Next up: single-sided LP — a strategy that reduces IL.

Quick check
Why is Impermanent Loss called 'impermanent'?
Practice task
0 / 5
Calculate IL for your own hypothetical scenario

IL stops being scary once you calculate it yourself. Takes about 10 minutes — just a calculator and paper, no real money involved.

This is learning, not investing — use only small amounts you treat as tuition.

You just compared IL against fees and found the position's breakeven point — most people never do this, they just hear "IL is dangerous".