We introduce the new price probability measure, which entirely depends on the probability measures of the value and the volume of the market trades. We define the nth statistical moment of the price as the ratio of the nth statistical moment of the value to the nth statistical moment of the...

This paper describes expectations and Buy-Sell transactions of assets as ground for modeling trading volume and price fluctuations. We study simple model of mutual relations between transactions and expectations and derive economic equations that describe disturbances of asset prices, trading...

This paper models price volatility through description of the second-degree transactions and expectations averaged by time interval Δ. We call it - the second-order economic theory. First two price statistical moments define volatility. To model volatility one needs description of the squares...

We show that the price and returns volatilities depend on the first and the second degree of the total values and the total volumes of the transactions aggregated during averaging time interval Δ. We derive expressions that describe price volatility via volatilities of the value and the volume...

This paper presents general approach to description of business cycles aggregate fluctuations of economic and financial variables. We model economics as ensemble of agents on economic space and agent's risk ratings play role of their coordinates. Aggregation of variables of agents with...