Multidimensional stochastic liquidity in Kyle's model of informed trading
How insider traders move prices when liquidity randomly fluctuates
When someone trades on private information, how fast should they reveal it to avoid detection? Researchers extended a classic model of insider trading to handle realistic conditions: multiple assets trading simultaneously and liquidity that changes unpredictably. They found that under certain mathematical conditions, informed traders follow a predictable strategy that creates prices moving proportionally to their trades—and the speed of information leakage adjusts automatically as market conditions shift.
Financial regulators need to understand how insiders can exploit markets, and market-makers need realistic models to set spreads and manage risk. This work removes artificial simplifications from the standard textbook model, making it applicable to actual multi-asset markets where liquidity isn't constant. Better models of insider trading behavior help exchanges design surveillance systems and help firms price the true cost of trading when information is unevenly distributed.