Motivated by how transaction amount constrain trading volume and price
volatility in stock market, we, in this paper, study the relation between
volume and price if amount of transaction is given. We find that accumulative
trading volume gradually emerges a kurtosis near the price mean value over a
trading price range when it takes a longer trading time, regardless of actual
price fluctuation path, time series, or total transaction volume in the time
interval.
We develop a theoretical trading conditioning model subject to price
volatility and return in terms of market psychological behavior, based on a
volume-price probability wave distribution in which we use transaction volume
probability to describe price volatility uncertainty and intensity.