Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2023-12-02 Number: 23-077/III Author-Name: Francisco Blasques Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Siem Jan Koopman Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Karim Moussa Author-Workplace-Name: Vrije Universiteit Amsterdam Title: Asymmetric Stable Stochastic Volatility Models: Estimation, Filtering, and Forecasting Abstract: This paper considers a stochastic volatility model featuring an asymmetric stable error distribution and a novel way of accounting for the leverage effect. We adopt simulation-based methods to address key challenges in parameter estimation, the filtering of time-varying volatility, and volatility forecasting. Specifically, we make use of the indirect inference method to estimate the static parameters, and the extremum Monte Carlo method to extract latent volatility. Both methods can be easily adapted to modifications of the model, such as having other distributions for the errors and other dynamic specifications for the volatility process. Illustrations are presented for a simulated dataset and for an empirical application to a time series of Bitcoin returns. Classification-JEL: C22, C46, C58 Keywords: Filtering, Forecasting, Indirect Inference, Extremum Monte Carlo, Leverage, Bitcoin ExperimentFile-URL: https://papers.tinbergen.nl/23077.pdf File-Format: application/pdf File-Size:974.033 bytes Handle: RePEc:tin:wpaper:20230077