AbstractsBusiness Management & Administration

On Stochastic Volatility Models as an Alternative to GARCH Type Models

by Oscar Nilsson




Institution: Uppsala University
Department:
Year: 2016
Keywords: Stochastic Volatility; Heavy tails; GARCH; Markov Chain Monte Carlo; Natural Sciences; Mathematics; Probability Theory and Statistics; Naturvetenskap; Matematik; Sannolikhetsteori och statistik; Masterprogram i statistik; Master Programme in Statistics
Posted: 02/05/2017
Record ID: 2113878
Full text PDF: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-297173


Abstract

For the purpose of modelling and prediction of volatility, the family of Stochastic Volatility (SV) models is an alternative to the extensively used ARCH type models. SV models differ in their assumption that volatility itself follows a latent stochastic process. This reformulation of the volatility process makes however model estimation distinctly more complicated for the SV type models, which in this paper is conducted through Markov Chain Monte Carlo methods. The aim of this paper is to assess the standard SV model and the SV model assuming t-distributed errors and compare the results with their corresponding GARCH(1,1) counterpart. The data examined cover daily closing prices of the Swedish stock index OMXS30 for the period 2010-01-05 to 2016- 03-02. The evaluation show that both SV models outperform the two GARCH(1,1) models, where the SV model with assumed t-distributed error distribution give the smallest forecast errors.