We show that the quotient of Levy processes of jump-diffusion type has a fat-taileddistribution. An application is to price theory in economics, with the result that fat tails ariseendogenously from modeling of price change based on an excess demand analysis resulting in aquotient of arbitrarily...

The interaction between the volatility and price dynamics is explored. We model stochastic asset prices using the asset flow model with randomness arising directly from supply and demand. We show that the volatility is smallest at the extrema of the price. Linearizing the stochastic differential...

We analyze the relative price change of assets starting from basic supply/demand considerations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. The variance in the relative price change is then dependent on the supply and demand, and is...

A symmetric supply/demand model of price dynamics is developed and used to understand the relationship between price change and volatility. This differs from the classical approach in which the expected rate of price change and variance are assumed to be independent. The microeconomic and...