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Beta Risk and Regime Shift in Market Volatility

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  • Don U.A. Galagedera
  • Roland G. Shami

Abstract

In this paper, we relate security returns in the thirty securities in the Dow Jones index to regime shifts in the market portfolio (S&P500) volatility. We model market volatility as a multiple-state Markov switching process of order one and estimate non-diversifiable security risk (beta) in the different market volatility regimes. We test the significance of the premium of the beta risk associated with the different market regimes and find evidence of a relationship between security return and beta risk when conditional on the up and down market movement.

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society 2004 Australasian Meetings with number 126.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:ausm04:126

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Keywords: Markov regime-switching; Market volatility; Beta risk.;

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  1. Don U.A. Galagedera & Robert Faff, 2004. "Modelling the Risk and Return Relation Conditional on Market Volatility and Market Conditions," Monash Econometrics and Business Statistics Working Papers 8/04, Monash University, Department of Econometrics and Business Statistics.
  2. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038 Elsevier.
  3. Pettengill, Glenn N. & Sundaram, Sridhar & Mathur, Ike, 1995. "The Conditional Relation between Beta and Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(01), pages 101-116, March.
  4. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  5. Fraser, P. & Hamelink, F. & Hoesli, M. & MacGregor, B., 2000. "Time-Varying Betas and Cross-Sectional Return-Risk Relation: Evidence from the UK," Papers 2000.03, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
  6. Gourieroux Christian & Monfort Alain, 1991. "Qualitative threshold arch models," CEPREMAP Working Papers (Couverture Orange) 9109, CEPREMAP.
  7. Kim, Moon K. & Zumwalt, J. Kenton, 1979. "An Analysis of Risk in Bull and Bear Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(05), pages 1015-1025, December.
  8. Faff, Robert, 2001. "A Multivariate Test of a Dual-Beta CAPM: Australian Evidence," The Financial Review, Eastern Finance Association, vol. 36(4), pages 157-74, November.
  9. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-31, February.
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