Adaptive signal processing of asset price dynamics with predictability analysis

  • Authors:
  • Rogemar S. Mamon;Christina Erlwein;R. Bhushan Gopaluni

  • Affiliations:
  • Department of Statistical and Actuarial Sciences, University of Western Ontario, London, ON, Canada and CARISMA, School of Information Systems, Computing and Mathematics, Brunel University, West L ...;CARISMA, School of Information Systems, Computing and Mathematics, Brunel University, West London, United Kingdom;Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, BC, Canada

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

In this paper we illustrate the optimal filtering of log returns of commodity prices in which both the mean and volatility are modulated by a hidden Markov chain with finite state space. The optimal estimate of the Markov chain and the parameters of the price model are given in terms of discrete-time recursive filters. We provide an application on a set of high frequency gold price data for the period 1973-2006 and analyse the h-step ahead price predictions against the Diebold-Kilian metric. Within the modelling framework where the mean and volatility are switching regimes, our findings suggest that a two-state hidden Markov model is sufficient to describe the dynamics of the data and the gold price is predictable up to a certain extent in the short term but almost impossible to predict in the long term. The proposed model is also benchmarked with ARCH and GARCH models with respect to price predictability and forecasting errors.