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Optimally weighting higher-moment instruments to deal with measurement errors in financial return models

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  • François-Éric Racicot
  • Raymond Théoret

Abstract

Factor loadings are often measured with errors in financial return models. However, these models find applications in many fields of economics and finance. We present a new procedure to optimally weight two well-known cumulant (higher moments) estimators originally designed to deal with errors-in-variables. We develop a new version of the Hausman test which relies on these new instruments in order to build an indicator of measurement errors providing information about the extent of the bias for an estimated coefficient. We apply our new methodology to a well-known financial return model, i.e. the Fama and French (1997) model, over a sample of Hedge Fund Research (HFR) returns, whose distribution is strongly asymmetric and leptokurtic. Our experiments suggest that the market beta is biased by measurement errors, especially at the level of hedge fund strategies. Nevertheless, the alpha puzzle remains robust to our cumulant instruments.

Suggested Citation

  • François-Éric Racicot & Raymond Théoret, 2012. "Optimally weighting higher-moment instruments to deal with measurement errors in financial return models," Applied Financial Economics, Taylor & Francis Journals, vol. 22(14), pages 1135-1146, July.
  • Handle: RePEc:taf:apfiec:v:22:y:2012:i:14:p:1135-1146
    DOI: 10.1080/09603107.2011.629983
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    File URL: http://hdl.handle.net/10.1080/09603107.2011.629983
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    References listed on IDEAS

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    1. Dagenais, M.G. & Dagenais, D.L., 1994. "GMM Estimators for Linear Regression Models with Errors in the Variables," Cahiers de recherche 9404, Universite de Montreal, Departement de sciences economiques.
    2. Dagenais, M.G. & Dagenais, D.L., 1994. "GMM Estimators for Linear Regression Models with Errors in the Variables," Cahiers de recherche 9404, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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    Cited by:

    1. Christian Calmès & Raymond Théoret, 2013. "The change in banks' product mix, diversification and performance: An application of multivariate GARCH to Canadian data," RePAd Working Paper Series UQO-DSA-wp012013, Département des sciences administratives, UQO.
    2. Christian Calm¨¨s & Raymond Th¨¦oret, 2016. "The Asymmetric Impact of Portfolio Mix on Bank Performance over the Business Cycle: U.S. and Canadian Evidence," Review of Economics & Finance, Better Advances Press, Canada, vol. 6, pages 57-74, February.
    3. Felicia Omowunmi Olokoyo, 2013. "Capital Structure and Corporate Performance of Nigerian Quoted Firms: A Panel Data Approach," African Development Review, African Development Bank, vol. 25(3), pages 358-369, September.
    4. Christian Calmès & Denis Cormier & Francois Éric Racicot & Raymond Théoret, 2012. "Firms' Accruals and Tobin’s q," RePAd Working Paper Series UQO-DSA-wp032012, Département des sciences administratives, UQO.

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