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Correlation of coming limit price with order book in stock markets

2007/02/04 by Jun-ichi Maskawa · 12 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Cost price #Cumulative distribution function #Econometrics #Economics #Finance #Financial Markets and Investment Strategies #Financial Risk and Volatility Modeling #Financial economics #Geography #Limit (mathematics) #Limit price #Market depth #Mathematical analysis #Mathematics #Mid price #Monetary economics #Order (exchange) #Order book #Price level #Probability density function #Series (stratigraphy) #Statistics #Stock (firearms) #Stock exchange #Stock market #Stock price #physics.data-an #physics.soc-ph #q-fin.ST #q-fin.TR

paper · pdf · doi:10.1016/j.physa.2007.04.091

published in Physica A Statistical Mechanics and its Applications 383(1), 90-95 (Elsevier BV) · 8 pages, 7 figures

arxiv created 2007/02/04 · openalex publication_date 2007/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine the correlation of the limit price with the order book, when a limit order comes. We analyzed the Rebuild Order Book of Stock Exchange Electronic Trading Service, which is the centralized order book market of London Stock Exchange. As a result, the limit price is broadly distributed around the best price according to a power-law, and it isn't randomly drawn from the distribution, but has a strong correlation with the size of cumulative unexecuted limit orders on the price. It was also found that the limit price, on the coarse-grained price scale, tends to gather around the price which has a large size of cumulative unexecuted limit orders.

Citations