Uniform Ergodicity and Exponential α-Mixing for Continuous Time Stochastic Volatility Model

Title & Authors
Uniform Ergodicity and Exponential α-Mixing for Continuous Time Stochastic Volatility Model
Lee, O.;

Abstract
A continuous time stochastic volatility model for financial assets suggested by Barndorff-Nielsen and Shephard (2001) is considered, where the volatility process is modelled as an Ornstein-Uhlenbeck type process driven by a general L$\small{\$vy process and the price process is then obtained by using an independent Brownian motion as the driving noise. The uniform ergodicity of the volatility process and exponential $\small{{\alpha}}$-mixing properties of the log price processes of given continuous time stochastic volatility models are obtained.
Keywords
Continuous time stochastic volatility model;Ornstein-Uhlenbeck type process;stationarity;uniform ergodicity;$\small{{\alpha}}$-mixing;
Language
English
Cited by
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