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Reference Variables, Factor Structure, and the Approximate Multibeta Representation

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  • Reisman, Haim

Abstract

The arbitrage pricing theory implies that if asset returns have a factor structure, then an approximate multibeta representation holds with respect to the factors as reference variables. This paper assumes that asset returns satisfy a factor structure and derives a condition under which the approximate multibeta representation holds with respect to a set of reference variables that may not be the factors. This condition is that the regression matrix of the reference variables on the factors is nonsingular. Implications for the testability of the arbitrage pricing theory are also discussed. Copyright 1992 by American Finance Association.

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  • Reisman, Haim, 1992. "Reference Variables, Factor Structure, and the Approximate Multibeta Representation," Journal of Finance, American Finance Association, vol. 47(4), pages 1303-1314, September.
    • Handle: RePEc:bla:jfinan:v:47:y:1992:i:4:p:1303-14
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    Cited by:

    1. Lewellen, Jonathan & Nagel, Stefan & Shanken, Jay, 2010. "A skeptical appraisal of asset pricing tests," Journal of Financial Economics, Elsevier, vol. 96(2), pages 175-194, May.
    2. Ariel M. Viale & David A. Bessler & James W. Kolari, 2014. "On the Structure of Financial Contagion: Econometric Tests and Mercosur Evidence," Journal of Applied Economics, Taylor & Francis Journals, vol. 17(2), pages 373-400, November.
    3. Fernando Rubio, 2005. "Eficiencia De Mercado, Administracion De Carteras De Fondos Y Behavioural Finance," Finance 0503028, University Library of Munich, Germany, revised 23 Jul 2005.
    4. Nawalkha, Sanjay K., 1997. "A multibeta representation theorem for linear asset pricing theories," Journal of Financial Economics, Elsevier, vol. 46(3), pages 357-381, December.
    5. Gregory Connor & Robert A Korajczyk, 2024. "Semi-Strong Factors in Asset Returns," Journal of Financial Econometrics, Oxford University Press, vol. 22(1), pages 70-93.
    6. Murtazashvili, Irina & Vozlyublennaia, Nadia, 2013. "When do characteristics-sorted factors mechanically explain returns?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 25(C), pages 119-143.
    7. Jeng, Jau-Lian, 2008. "The existence theorem of approximate multibeta representation for multifactor pricing models with unobservable omitted variables: A technical note," Global Finance Journal, Elsevier, vol. 19(1), pages 11-18.
    8. Al-Najjar, Nabil I., 1998. "Factor Analysis and Arbitrage Pricing in Large Asset Economies," Journal of Economic Theory, Elsevier, vol. 78(2), pages 231-262, February.
    9. Michailidis, G., 2009. "Multivariate methods in examining macroeconomic variables effect on Greek stock market returns, 1997-2004," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 9(1).

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