Abstract
After the so-called Asia crisis in the summer of 1997 the financial markets were shaken by increased volatility transmission around the world. Therefore, in this paper we will analyse the daily exchange rates in New York, Germany, and Japan for the period of 2 years (June 21, 1996 to June 22, 1998). We estimate a VAR-GARCH in mean model and estimate the multivariate volatility effects between the time series. We are also interested in the question of whether or not the volatility of the 3 exchange rates will feed back on the returns of the exchange rates. Using the marginal likelihood criterion for model selection we choose a VAR-GARCH-M (1,1,2,2) model. The model is estimated using MCMC methods and the coefficients show a quite rich transmission pattern between the financial markets. Comparing the predictive densities we see that the VAR-GARCH-M model produces forecasts with much smaller standard deviations.
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References
Aitkin, M. (1991): Posterior Bayes Factors. J.R.Statistical Soc. B, 1, 111–142.
Chib, S. (1995): Marginal likelihood from the Gibbs output. JASA 90, 1313–1321.
Engle, R. F. (1995): ARCH, Selected Readings. Oxford University Press, Oxford.
Engle, R. F., Lilien, D. M., and Robins, R. P. (1987): Estimating Time-Varying Risk Premia in the Term Structure, Econometrica 55/2 391-407, reprinted in Engle (1995) 24–41.
Engle, R. F., Ito, T., and Lin, W. L. (1990): Meteor Showers or Heat Waves? Heteroskedastic Intra-Daily Volatility in the Foreign Exchange Market. Econometrica 58/3, 525–542.
Gelfand, A.E. and Smith, A.F.M. (1990): Sampling based approaches to calculating marginal densities. Journal of American Statistical Association, 85, 398–409.
Gelfand, A.E. and Dey, D.K. (1994): Bayesian model choice asymptotics and exact calculations. JRSSB, 56, 501–514
Hamilton, J. (1994): Time Series Analysis, Princeton Univ. Press, New York.
Liu, S. and Polasek, W. (1999): Maximum likelihood estimation based on the method of scoring for a vector autoregressive ARCH-M model. ISO-WWZ, University of Basel, mimeo.
Pelloni, G. and Polasek, W. (1998): Intersectoral Labour Reallocation and Employment Volatility: A Bayesian analysis using a VAR-GARCH-M model. ISO-WWZ, University of Basel, mimeo.
Polasek, W. Et Al. (1998): The BASEL package, ISO-WWZ, University of Basel. (www.unibas.ch/iso)
Polasek, W. (1999): Forecast evaluations for multiple time series: A generalized Theil decomposition. ISO-WWZ, University of Basel, mimeo. (www.unibas.ch/iso)
Polasek, W. and Ren, L. (1997): Structural breaks and model selection with marginal likelihoods. Proceedings of the Workshop on Model Selection, in: Racugno W. (ed.), Cagliari 223-274.
Polasek, W. and Ren, L. (1999): Multivariate GARCH-M model for stock returns in the US, Germany and Japan. ISO-WWZ, University of Basel, mimeo.
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Polasek, W., Ren, L. (2000). A Multivariate GARCH-M Model for Exchange Rates in the US, Germany and Japan. In: Decker, R., Gaul, W. (eds) Classification and Information Processing at the Turn of the Millennium. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57280-7_39
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DOI: https://doi.org/10.1007/978-3-642-57280-7_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67589-1
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