Combined Mutiplicative-Heston Model for Stochastic Volatility
arXiv:1807.10793 · doi:10.1016/j.physa.2020.125263
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.
10 pages, 7 figures
References in corpus (4)
- Stochastic volatility of financial markets as the fluctuating rate of trading: an empirical study
- Explicit Heston Solutions and Stochastic Approximation for Path-dependent Option Pricing
- Implied and Realized Volatility: A Study of the Ratio Distribution
- Distributions of Historic Market Data -- Implied and Realized Volatility
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