Stochastic volatility: likelihood inference and comparison with ARCH models.

Stochastic volatility models present a natural way of working with time-varying volatility. However the difficulty involved in estimating these types of models has prevented their wide-spread use in empirical applications. In this paper we exploit Gibbs sampling to provide a likelihood framework for...

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Những tác giả chính: Kim, S, Shephard, N
Định dạng: Working paper
Ngôn ngữ:English
Được phát hành: Nuffield College (University of Oxford) 1994
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author Kim, S
Shephard, N
author_facet Kim, S
Shephard, N
author_sort Kim, S
collection OXFORD
description Stochastic volatility models present a natural way of working with time-varying volatility. However the difficulty involved in estimating these types of models has prevented their wide-spread use in empirical applications. In this paper we exploit Gibbs sampling to provide a likelihood framework for the analysis of stochastic volatility models, demonstrating how to perform either maximum likelihood or Bayesian estimation. The paper includes an extensive Monte Carlo experiment which compares the efficiency of the maximum likelihood estimator with that of quasi-likelihood and Bayesian estimators proposed in the literature. We also compare the fit of the stochastic volatility model to that of ARCH models using the likelihood criterion to illustrate the flexibility of the framework presented.
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spelling oxford-uuid:71c8f1d2-0e7c-4727-a453-c064bc2f03ce2022-03-26T19:45:49ZStochastic volatility: likelihood inference and comparison with ARCH models.Working paperhttp://purl.org/coar/resource_type/c_8042uuid:71c8f1d2-0e7c-4727-a453-c064bc2f03ceEnglishDepartment of Economics - ePrintsNuffield College (University of Oxford)1994Kim, SShephard, NStochastic volatility models present a natural way of working with time-varying volatility. However the difficulty involved in estimating these types of models has prevented their wide-spread use in empirical applications. In this paper we exploit Gibbs sampling to provide a likelihood framework for the analysis of stochastic volatility models, demonstrating how to perform either maximum likelihood or Bayesian estimation. The paper includes an extensive Monte Carlo experiment which compares the efficiency of the maximum likelihood estimator with that of quasi-likelihood and Bayesian estimators proposed in the literature. We also compare the fit of the stochastic volatility model to that of ARCH models using the likelihood criterion to illustrate the flexibility of the framework presented.
spellingShingle Kim, S
Shephard, N
Stochastic volatility: likelihood inference and comparison with ARCH models.
title Stochastic volatility: likelihood inference and comparison with ARCH models.
title_full Stochastic volatility: likelihood inference and comparison with ARCH models.
title_fullStr Stochastic volatility: likelihood inference and comparison with ARCH models.
title_full_unstemmed Stochastic volatility: likelihood inference and comparison with ARCH models.
title_short Stochastic volatility: likelihood inference and comparison with ARCH models.
title_sort stochastic volatility likelihood inference and comparison with arch models
work_keys_str_mv AT kims stochasticvolatilitylikelihoodinferenceandcomparisonwitharchmodels
AT shephardn stochasticvolatilitylikelihoodinferenceandcomparisonwitharchmodels