Quasi-maximum likelihood estimation for non-stationary stochastic volatility models: diffuse Kalman filtering approach
摘要
In this paper, we develop a quasi-maximum likelihood estimation (QMLE) procedure using the information filter, a diffuse Kalman filtering version, to estimate the parameters of a non-stationary stochastic volatility (SV) model. In addition to modeling the high persistence volatility as a random walk, we incorporate the leverage effect and the heavy-tailed nature of asset price return distribution into our proposed method to enhance the SV model’s ability to accurately capture these stylized facts. With this aim, we expand upon the asymmetric specification of the SV model that was introduced in Chirico’s most recent work (2024), using both normal and Student’s t-distribution for the investigation of heavy-tailedness. We provide simulation and empirical validations to demonstrate our method’s effectiveness in handling the stylised facts compared with existing methods.