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Evaluation of linear asset pricing models by implied portfolio performance

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  • Balvers, Ronald J.
  • Huang, Dayong

Abstract

We present a theoretical perspective that motivates the use of the Generalized Least Squares R-Square, prominently advocated by Lewellen et al. [Lewellen, J., Nagel, S., Shanken, J., forthcoming. A skeptical appraisal of asset-pricing tests. Journal of Financial Economics], as an evaluation measure for multivariate linear asset pricing models. Adapting results from Shanken [Shanken, J., 1985. Multivariate tests of the zero-beta CAPM. Journal of Financial Economics 14, 327-348] and Kandel and Stambaugh [Kandel, S., Stambaugh, R.F., 1995. Portfolio inefficiency and the cross-section of expected returns. Journal of Finance 50, 157-184], we provide various interpretations and a graphical account in mean-variance space of this measure, facilitating a better understanding of its properties. We furthermore relate it to another leading evaluation metric, the HJ-distance of Hansen and Jagannathan [Hansen, L.P., Jagannathan, R., 1997. Assessing specification errors in stochastic discount factor models. Journal of Finance 52, 557-590]. Additionally, we present a comparison between these evaluation measures using mean-variance mathematics in risk-return space, and we provide a simple formula for calculating both model evaluation measures that involves only the parameters of the mean-variance asset and factor frontiers.

Suggested Citation

  • Balvers, Ronald J. & Huang, Dayong, 2009. "Evaluation of linear asset pricing models by implied portfolio performance," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1586-1596, September.
    • Handle: RePEc:eee:jbfina:v:33:y:2009:i:9:p:1586-1596
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    3. Arouri, Mohamed El Hedi, 2011. "Does crude oil move stock markets in Europe? A sector investigation," Economic Modelling, Elsevier, vol. 28(4), pages 1716-1725, July.
    4. Ferreira, Eva & Gil-Bazo, Javier & Orbe, Susan, 2011. "Conditional beta pricing models: A nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3362-3382.
    5. Gu, Li & Huang, Dayong, 2010. "Sales order backlogs and momentum profits," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1564-1575, July.
    6. Mohrschladt, Hannes & Nolte, Sven, 2018. "A new risk factor based on equity duration," Journal of Banking & Finance, Elsevier, vol. 96(C), pages 126-135.
    7. Grauer, Robert R. & Janmaat, Johannus A., 2010. "Cross-sectional tests of the CAPM and Fama-French three-factor model," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 457-470, February.
    8. Huang, Dayong & Wang, Fang, 2009. "Cash, investments and asset returns," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2301-2311, December.
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