English

A correlated stochastic volatility model measuring leverage and other stylized facts

Condensed Matter 2007-05-23 v1 Physics and Society

Abstract

We present a stochastic volatility market model where volatility is correlated with return and is represented by an Ornstein-Uhlenbeck process. With this model we exactly measure the leverage effect and other stylized facts, such as mean reversion, leptokurtosis and negative skewness. We also obtain a close analytical expression for the characteristic function and study the heavy tails of the probability distribution.

Keywords

Cite

@article{arxiv.cond-mat/0111334,
  title  = {A correlated stochastic volatility model measuring leverage and other stylized facts},
  author = {Josep Perello and Jaume Masoliver},
  journal= {arXiv preprint arXiv:cond-mat/0111334},
  year   = {2007}
}

Comments

22 pages, 2 figures and 2 tables