Article ID Journal Published Year Pages File Type
979583 Physica A: Statistical Mechanics and its Applications 2007 7 Pages PDF
Abstract

We propose a model of fractal point process driven by the nonlinear stochastic differential equation. The model is adjusted to the empirical data of trading activity in financial markets. This reproduces the probability distribution function and power spectral density of trading activity observed in the stock markets. We present a simple stochastic relation between the trading activity and return, which enables us to reproduce long-range memory statistical properties of volatility by numerical calculations based on the proposed fractal point process.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
, ,