Ordinal- and Continuous-Response Stochastic Volatility Models for Price Changes: An Empirical Comparison

  • Claudia Czado
  • Gernot Müller
  • Thi-Ngoc-Giau Nguyen


Ordinal stochastic volatility (OSV) models were recently developed and fitted by Müller & Czado (2009) to account for the discreteness of financial price changes, while allowing for stochastic volatility (SV). The model allows for exogenous factors both on the mean and volatility level. A Bayesian approach using Markov Chain Monte Carlo (MCMC) is followed to facilitate estimation in these parameter driven models. In this paper the applicability of the OSV model to financial stocks with different levels of trading activity is investigated and the influence of time between trades, volume, day time and the number of quotes between trades is determined. In a second focus we compare the performance of OSV models and SV models. The analysis shows that the OSV models which account for the discreteness of the price changes perform quite well when applied to such data sets.


Markov Chain Monte Carlo Price Change Credible Interval Stochastic Volatility Trading Activity 


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Claudia Czado is supported by the Deutsche Forschungsgemeinschaft.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Claudia Czado
    • 1
  • Gernot Müller
    • 1
  • Thi-Ngoc-Giau Nguyen
    • 1
  1. 1.Zentrum MathematikTechnische Universität MünchenGarchingGermany

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