所属栏目:资本市场/市场微观结构

Security Transaction Probability Wave Equation--A Volume/Price Probability Wave Model
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发布日期:2008年05月03日 上次修订日期:2008年05月03日

摘要

In this paper, the author observes a stationary volume/price pattern, while studying the relationship between volume and price through the amount of transaction in stock market. The probability of accumulated trading volume (actual supply/demand volume) that distributes over its price range gradually emerges the maximum around the price mean value in a transaction body system when it takes a longer trading time regardless of its price fluctuation path or time series in the time interval. The volume/price behaves a probability wave toward an actual supply/demand equilibrium price, forced by a linear central actual supply/demand potential. In terms of physics, the author establishes a transaction (actual supply/demand) energy hypothesis, defines a measurable actual supply/demand restoring force, derives a time-independent security transaction (actual supply/demand) probability wave differential equation, and obtains an explicit volume/price distribution function, the distribution of absolute zero-order Bessel eigenfunctions, in a stable transaction body system when its supply/demand is in a dynamic state. By fitting and testing the function with intraday real transaction volume/price distributions on a considerable number of individual stocks in Shanghai 180 Index, the author demonstrates its validation at this early stage, and attempts to offer a micro and dynamic actual supply/demand volume/price wave theory. JEL classification: G12; D50; C51; C52
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石磊磊 Security Transaction Probability Wave Equation--A Volume/Price Probability Wave Model (2008年05月03日) https://www.cfrn.com.cn/lw/14677.html

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