AMM liquidity pools: fees, risks and impermanent loss

A pool is not Binance Spot—and BNB Chain is not the Binance exchange

An automated market maker (AMM) lets a trader swap against token reserves managed by a smart contract, rather than submitting a buy or sell order to a central exchange order book. A liquidity provider (LP) supplies assets to that pool and may receive a version-specific position or claim. Binance.com Spot is an exchange product with its own trading pairs, order book, account balance and terms. A token shown on both screens is not automatically the same custody arrangement or transaction.

BNB Chain is a network ecosystem; BNB is an asset, and BNB Smart Chain (BSC) is one network in that ecosystem. If a particular protocol and pool are actually on BSC, the BNB Chain reference identifies native BNB as the network gas asset. That does not make Binance Spot and BSC the same service. This page does not verify a live PancakeSwap or other pool, token listing, account eligibility or regional access. Every protocol and version has its own code and rules.

Evidence: Uniswap pool, LP-share and version concepts · Binance.com Spot pair and account context · Centralized exchange order-book concept · BNB Smart Chain network role

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Binance.com only; educational page may be outdated. Not a current UI walkthrough or regional rule.

Binance warns educational material may be outdated; only used for order book vs AMM distinction.

The overview also contains older performance, adoption and yield claims. This lesson uses only its identification of BSC as a network and BNB as its native gas asset; no fee amount, return or current service claim is inferred.

LP, staking and lending describe different arrangements

In a pool, you expose a pair of assets to swaps under the pool pricing mechanism. In Uniswap v2 the position is represented by a fungible pool token; Uniswap v3/v4 positions have a selected price range and different position accounting. Other protocols may use other records. The receipt or position is evidence of a protocol-specific claim, not a bank deposit or exchange Spot balance.

Staking participates in a network or protocol staking mechanism; lending supplies assets to a borrower or market under product-specific borrowing, interest and collateral rules. Neither is a synonym for LP. A farming program may add a separate incentive to an LP position, but that reward is not the same as staking BNB for network validation. Do not use one product fee, lock, redemption, tax or liquidation rules to infer another.

Evidence: Uniswap pool, LP-share and version concepts · PancakeSwap V2/V3 documentation · PancakeSwap V3 estimate and compounding distinctions · BNB Smart Chain network role · BSC network staking vs LP

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Docs distinguish EVM and Solana; they do not prove current deployment, access or suitability.

Estimates rely on historic volume/current emissions that can change; no rate observed or copied.

The overview also contains older performance, adoption and yield claims. This lesson uses only its identification of BSC as a network and BNB as its native gas asset; no fee amount, return or current service claim is inferred.

Used only to distinguish BSC validator delegation from AMM liquidity provision. Its dated protocol details are not presented as current yields or product instructions.

What a pool can enable—and what an LP takes on

A pool can let swaps execute against pooled liquidity without waiting for a named buyer and seller to match in an order book. A provider may receive a proportional part of fees from swaps while its liquidity is active; a program may separately distribute incentives. These are possible functions of a design, not a promise that a particular pool exists, stays available, attracts volume or pays a positive net return.

The provider also accepts exposure to both assets, their relative prices, the pool contract and the chosen version. Adding or managing a position may require onchain transactions and network gas; claiming fees, changing a range or withdrawing can add costs. An incentive denominated in another token can change in value or stop. A displayed APR can use historical volume or planned emissions and may not include all costs, price changes, taxes, price-range inactivity or execution conditions.

Evidence: Swap fees across Uniswap versions · PancakeSwap V3 estimate and compounding distinctions · PancakeSwap V2/V3 documentation

Version-specific fee collection/accounting; do not reuse rates or mechanics for other protocols.

Estimates rely on historic volume/current emissions that can change; no rate observed or copied.

Docs distinguish EVM and Solana; they do not prove current deployment, access or suitability.

A compounding example is arithmetic, not an offer

Suppose a fictional nominal APR is 12%, it stays constant for one year, the full reward is reinvested monthly, and there are no fees, gas, taxes or price changes. Then APY = (1 + 0.12 / 12)^12 - 1 = approximately 12.6825%. If rewards are not reinvested, or each reinvestment costs gas, this result does not describe the outcome. Real APR/APY labels can include different reward streams and assumptions.

PancakeSwap V3 documentation distinguishes estimated LP-fee APR from farm emissions and states that its displayed figures depend on historical trading volume or current emissions, can change and are not guaranteed. That page documents a PancakeSwap feature; it does not validate the fictional 12% rate or a current pool on BSC.

Evidence: PancakeSwap V3 estimate and compounding distinctions

Estimates rely on historic volume/current emissions that can change; no rate observed or copied.

Resolved example: divergence versus HOLD is not absolute profit or loss

Entirely hypothetical model: two invented assets A and S in a 50/50-by-value, full-range constant-product pool. Start with 5 A x $100 plus 500 S x $1 = $1,000. Assume S stays exactly at $1, no fees, gas, incentives, outside capital changes or borrowing, and idealized arbitrage adjusts the pool to the new relative price. The starting reserve product is k = 5 x 500 = 2,500 A*S. The symbol S is invented and does not represent a stablecoin, redemption promise or real-world peg.

Define r = (final A/S price) / (starting A/S price); r is a multiplier, not a price. If A rises to $200 while S remains $1, A/S moves from 100 to 200, so r = 2. For this model, x*y = 2,500 and y/x = 200, so x = sqrt(2,500/200) = 3.535534 A and y = 707.106781 S. The LP position is worth about $1,414.21. Holding the original 5 A and 500 S outside the pool would be worth $1,500. The LP is $85.79, or 5.7191%, below that HOLD comparison, yet its value is up $414.21, or 41.4214%, from the fictional $1,000 start. Those answers use different baselines.

For this particular 50/50, full-range constant-product model with no fees, LP value = $1,000 x sqrt(r); HOLD value = $500r + $500; relative divergence = LP/HOLD - 1 = 2sqrt(r)/(1+r) - 1. This describes relative position change, often called impermanent loss; it does not guarantee later recovery, and fees or incentives do not guarantee that it will beat HOLD. The separate both-assets-fall example below changes the assumption that S stays at $1.

Evidence: Uniswap pool, LP-share and version concepts · Historical constant-product and v2 oracle mechanics

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Historical v2 technical description; protocol-fee discussion is not a current rate or status.

Separate hypothetical: both assets fall by half

Change the main example's stable-S assumption. In a separate fictional case, A falls from $100 to $50 and S falls from $1 to $0.50. Their relative A/S price stays at 100, the starting ratio, so r = (final A/S price) / (starting A/S price) = 1. With no fees or other changes, the pool position and the original HOLD basket are each worth $500: LP versus HOLD is 0%. Yet both are down $500, or 50%, from the fictional $1,000 starting value.

This case shows why zero divergence loss is not the same as zero absolute loss. The two falling prices are invented teaching inputs; S is not a real stablecoin, and this is not a market observation or forecast.

Evidence: Uniswap pool, LP-share and version concepts · Historical constant-product and v2 oracle mechanics

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Historical v2 technical description; protocol-fee discussion is not a current rate or status.

Keep fee and cost assumptions outside the base calculation

As a separate hypothetical overlay at r = 2, add a final-value fee amount of $100 that was not included in the no-fee base, then subtract $15 of total costs valued in the same final unit. Net position value becomes $1,414.2136 + $100 - $15 = $1,499.2136, still about $0.7864 below the $1,500 HOLD value. This is not a simulated fee history or prediction.

Accounting matters: in a v2-style pool, fees can be added to reserves and affect the pool invariant. If an actual position value already includes those reserves or claimable fees, adding the same fees again double-counts them. Other versions may account for fees separately. Do not combine fee claims, token incentives, gas and market values without checking how the protocol records each item.

Evidence: Swap fees across Uniswap versions · Historical constant-product and v2 oracle mechanics

Version-specific fee collection/accounting; do not reuse rates or mechanics for other protocols.

Historical v2 technical description; protocol-fee discussion is not a current rate or status.

Full-range and concentrated positions behave differently

A full-range position in a simple constant-product model remains exposed across that model price curve. In Uniswap v3/v4 concentrated liquidity, the LP selects a finite price range. Concentrating capital can make more liquidity active within the selected interval, but position composition and fee activity depend on price staying in range. These are Uniswap version descriptions, not universal rules for every AMM.

If the price of a simple Uniswap v3/v4 pool moves outside its range, the position can become single-sided and stop earning fees until price returns; Uniswap support says that condition alone is not liquidation. This statement does not cover a borrowed or separately collateralized position. A range can remain out of range, so a period without fees is possible; monitoring and adjustments add attention and transaction costs.

Evidence: Uniswap v3/v4 range mechanics · Uniswap v3/v4 simple position outside range · PancakeSwap V2/V3 documentation

Only Uniswap v3/v4 concepts; not full-range pools or other protocols.

Applies to the stated simple Uniswap v3/v4 position, not borrowed, leveraged or collateralized positions.

Docs distinguish EVM and Solana; they do not prove current deployment, access or suitability.

A risk checklist you can complete without connecting a wallet

A strong-looking APY, familiar logo or audit badge does not answer whether a particular pair is appropriate or safe. Before relying on a pool description, record the exact chain, pool contract, protocol/version, token contract addresses, position model and evidence date. If any cannot be verified from trustworthy sources, treat it as unknown and stop the analysis rather than depositing to find out.

Some risks apply only if that feature exists. A simple AMM does not necessarily use an external oracle; a pool does not necessarily contain a bridged asset; and a concentrated range does not automatically involve borrowing. A protocol may have admin roles or upgrade mechanisms. Verify the concrete code, controls and dependencies; do not infer them from a protocol name, a general audit report or this teaching example.

Evidence: Uniswap pool, LP-share and version concepts · Historical constant-product and v2 oracle mechanics · PancakeSwap V2/V3 documentation · BSC transaction-ordering and MEV concepts

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Historical v2 technical description; protocol-fee discussion is not a current rate or status.

Docs distinguish EVM and Solana; they do not prove current deployment, access or suitability.

Qualitative ordering-risk check only; no LP probability or loss estimate inferred.

A safe paper exercise and its solution

Without opening an app, take the r = 2 row and answer: (1) What does -5.7191% compare? (2) Did the fictional LP lose value versus its initial $1,000? (3) Can you add the separate $100 fee assumption twice? (4) Does the arithmetic prove that a specific BNB Chain pool exists?

Solved: (1) It compares the LP position with keeping the original 5 A and 500 S; (2) no, the model LP value rose 41.4214% from $1,000 even though it lagged HOLD; (3) no, add fees once and only if excluded from the position value; (4) no. The model establishes no pool, token contract, access, rate or result. A real analysis still needs documentation for the exact pool and current onchain/product evidence.

Evidence: Uniswap pool, LP-share and version concepts · Swap fees across Uniswap versions · BNB Smart Chain network role

Uniswap-specific; version mechanics are not universal and do not prove any pool is live.

Version-specific fee collection/accounting; do not reuse rates or mechanics for other protocols.

The overview also contains older performance, adoption and yield claims. This lesson uses only its identification of BSC as a network and BNB as its native gas asset; no fee amount, return or current service claim is inferred.