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Retained hidden excess generates memory in price-limited markets

How hidden price movements create predictable stock patterns

When stock exchanges cap daily price swings, the excess movement that gets cut off doesn't disappear—part of it bleeds into the next day, creating predictable patterns even though each day's shocks are independent. This hidden carryover makes stocks more likely to hit the same price limit again the next day, and when they do, the effect is proportional to how wide the price limit band is.

In markets with price limits (common in Asia and during crises), traders can exploit this momentum to predict which direction a stock will move after hitting a limit. Understanding this mechanism helps regulators design better circuit breakers and helps investors avoid being caught off guard by what looks like random volatility but actually follows a predictable pattern tied to how wide the price bands are set.