Bid-Ask Spreads and Liquidity Provision
The bid-ask spread is the difference between the highest price a buyer will pay (bid) and the lowest price a seller will accept (ask). Market makers — who post both bid and ask quotes simultaneously, providing liquidity — profit from this spread when they buy at the bid and sell at the ask. The spread compensates market makers for two costs: inventory risk (holding positions in securities whose prices can move against them) and adverse selection risk (the risk that a counterparty knows the stock's true value better than the market maker does).
Kyle's Lambda (1985) models price impact: the change in price per unit of order flow, capturing how quickly the market's price adjusts to buying or selling pressure. For highly liquid large-cap stocks, Lambda is very small — a $10 million buy order moves the price by a few basis points. For illiquid small-cap stocks, Lambda is large — the same order might move the price by 1-2%. Understanding Lambda is critical for institutional execution: orders that represent a large fraction of average daily volume have substantial price impact, and execution algorithms are calibrated to Kyle's model to minimize this impact.