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Modelling the Risk and Return Relation Conditional on Market Volatility and Market Conditions


  • Don U.A. Galagedera


  • Robert Faff


This paper investigates whether the risk-return relation varies, depending on changing market volatility and up/down market conditions. Three market regimes based on the level of conditional volatility of market returns are specified - 'low', 'neutral' and 'high'. The market model is extended to allow for these three market regimes and a three-beta asset-pricing model is developed. For a set of US industry sector indices using a cross-sectional regression, we find that the beta risk premium in the three market volatility regimes is priced. These significant results are uncovered only in the pricing model that accommodates up/down market conditions.

Suggested Citation

  • 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.
  • Handle: RePEc:msh:ebswps:2004-8

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    References listed on IDEAS

    1. 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.
    2. Jagannathan, Ravi & Wang, Zhenyu, 1996. " The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    3. 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.
    4. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    5. Brooks, Robert D. & Faff, Robert W. & Yew, Kee Ho, 1997. "A new test of the relationship between regulatory change in financial markets and the stability of beta risk of depository institutions," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 197-219, February.
    6. 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.
    7. Engle, Robert F & Ng, Victor K, 1993. " Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    8. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    9. Faff, Robert, 2001. "A Multivariate Test of a Dual-Beta CAPM: Australian Evidence," The Financial Review, Eastern Finance Association, vol. 36(4), pages 157-174, November.
    10. Bhardwaj, Ravinder K & Brooks, LeRoy D, 1993. "Dual Betas from Bull and Bear Markets: Reversal of the Size Effect," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 16(4), pages 269-283, Winter.
    11. Bos, T & Newbold, P, 1984. "An Empirical Investigation of the Possibility of Stochastic Systematic Risk in the Market Model," The Journal of Business, University of Chicago Press, vol. 57(1), pages 35-41, January.
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    Cited by:

    1. Don U.A. Galagedera, 2004. "A survey on risk-return analysis," Finance 0406010, EconWPA.
    2. Srikanta Kundu & Nityananda Sarkar, 2016. "Is the Effect of Risk on Stock Returns Different in Up and Down Markets? A Multi-Country Study," International Econometric Review (IER), Econometric Research Association, vol. 8(2), pages 53-71, September.
    3. Jaramillo, Laura & Weber, Anke, 2013. "Bond yields in emerging economies: It matters what state you are in," Emerging Markets Review, Elsevier, vol. 17(C), pages 169-185.
    4. Korkmaz, Turhan & Cevik, Emrah Ismail & Birkan, Elif & Özataç, Nesrin, 2010. "Testing CAPM using Markov switching model: the case of coal firms," MPRA Paper 71479, University Library of Munich, Germany, revised 2010.
    5. Roland Shami & Don U.A. Galagedera, 2004. "Beta Risk and Regime Shift in Market Volatility," Finance 0406012, EconWPA.

    More about this item


    CAPM; conditional market volatility; modelling conditional betas;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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