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25--36
Tytuł artykułu

Multivariate ARCH - Type Models : A Bayesian Comparison

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we model two exchange rates that were most important for the Polish economy for many years, i.e. the zloty (PLN) values of the US dollar and the German mark. We make a Bayesian comparison of various bivariate ARCH-type specifications through their Bayes factors. By restricting it to only bivariate time series, it is possible to estimate even unparsimoniously parameterised models. Apart from the dimension of the parameter space, we consider the following aspects of empirical ARCH-type specifications: the ARCH(1) structure versus GARCH(1,1), free conditional covariances versus constant conditional covariances or correlations, conditional Normality versus thicker tails, and direct ARCH versus unobserved or latent factor ARCH models. In view of a high dimensionality of the parameter spaces and non-standard forms of the posterior densities, we use Markov chain Monte Carlo (MCMC) methods, mainly the Metropolis-Hastings algorithm, to simulate from the posterior distributions.(fragment of text)
Czasopismo
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Strony
25--36
Opis fizyczny
Twórcy
  • Cracow University of Economics, Poland
  • Cracow University of Economics, Poland
Bibliografia
  • Baba, Y., Engle, R., Kraft, D., Kroner, K. (1989) Multivariate Simultaneous Generalised ARCH, unpublished manuscript, University of California at San Diego, Dept. of Economics.
  • Bauwens, L., Lubrano, M. (1998), Bayesian Inference on GARCH Models Using the Gibbs Sampler, Econometrics Journal 1, C23-C46.
  • Bollerslev, T. (1986), Generalised Autoregressive Conditional Heteroskedasticity, Journal of Econometrics 31, 307-327.
  • Bollerslev, T. (1990), Modelling the Coherence in Short-Run Nominal Exchange Rates; A Multivariate Generalised ARCH Model, The Review of Economics and Statistics 72, 498-505.
  • Diebold, F., Nerlove, M. (1989), The Dynamic of Exchange Rate Volatility: A Multivariate Latent Factor ARCH Model, Journal of Applied Econometrics 4, 1-22.
  • Engle, R. F. (1982), Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation, Econometrica 50, 987-1007.
  • Engle, R. F., Kroner, K. F. (1995), Multivariate Simultaneous Generalised ARCH, Econometric Theory 11, 122-150.
  • Gamerman, D. (1997), Markov Chain Monte Carlo (Stochastic Simulation for Bayesian Inference), Chapman and Hall, London.
  • Geweke, J. (1989), Exact Predictive Densities for Linear Models with ARCH Disturbances, Journal of Econometrics 40, 63-86.
  • Giakoumatos, S. G., Dellaportas, P., Politis, D. D. (1999), Bayesian Analysis of Some Multivariate Time-Varying Volatility Models, unpublished manuscript.
  • Gourieroux, C. (1997), ARCH Models and Financial Applications Springer, New York.
  • King, M., Sentana, E., Wadhwani, S. (1994), Volatility and Links Between National Stock Markets, Econometrica 62, 901-934.
  • Kleibergen, F., van Dijk, H. K. (1993), Non-stationarity in GARCH Models: A Bayesian Analysis, Journal of Applied Econometrics 8, S41-S61.
  • Newton, M. A., Raftery, A. E. (1994), Approximate Bayesian Inference be the weighted likelihood bootstrap (with discussion), Journal of the Royal Statistical Society B 56, 3-48.
  • O'Hagan, A. (1994), Bayesian Inference, Edward Arnold, London.
  • Osiewalski, J., Pipień, M. (1999), Bayesian Forecasting of Foreign Exchange Rates Using GARCH Models with Skewed t Conditional Distributions, MACROMODELS'98 (Conference Proceedings), Absolwent, Łódź.
  • Osiewalski, J., Pipień, M. (2000), GARCH-In-Mean through Skewed t Conditional Distributions: Bayesian Inference for Exchange Rates, MACROMODELS'99 (Conference Proceedings), Absolwent, Łódź.
  • Osiewalski, J., Pipień, M. (2001a), Multivariate t-GARCH Models - Bayesian Analysis for Exchange Rates, MACROMODELS 2000 (Conference Proceedings), Absolwent, Łódź.
  • Osiewalski, J., Pipień, M. (2001b), Bayesian Comparison of Bivariate ARCH-type Models for Exchange Rates, paper presented at the conference "Recent Advances in Bayesian Econometrics" (GREQAM, Marseille, June 2001).
  • Osiewalski, J., Steel, M. F. J. (1993), A Bayesian Perspective on Model Selection, manuscript; published in Spanish: Una perspectiva bayesiana en selección de modelos, Cuadernos Economicos de ICE, 55, 327-351.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171297685

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