English

Combined Mutiplicative-Heston Model for Stochastic Volatility

Mathematical Finance 2024-04-15 v1 Statistical Finance

Abstract

We consider a model of stochastic volatility which combines features of the multiplicative model for large volatilities and of the Heston model for small volatilities. The steady-state distribution in this model is a Beta Prime and is characterized by the power-law behavior at both large and small volatilities. We discuss the reasoning behind using this model as well as consequences for our recent analyses of distributions of stock returns and realized volatility.

Keywords

Cite

@article{arxiv.1807.10793,
  title  = {Combined Mutiplicative-Heston Model for Stochastic Volatility},
  author = {M. Dashti Moghaddam and R. A. Serota},
  journal= {arXiv preprint arXiv:1807.10793},
  year   = {2024}
}

Comments

10 pages, 7 figures

R2 v1 2026-06-23T03:17:31.399Z