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Asset pricing models with errors-in-variables

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  • Carmichael, Benoît
  • Coën, Alain

Abstract

This paper revisits Fama and French [Fama, Eugene F., French, Kenneth R., (1993) Common risk factors in the returns on stock and bonds. Journal of Financial Economics 33 (1), 3-56] and Carhart [Carhart, Mark M., 1997. On persistence in mutual fund performance. Journal of Finance 52 (1), 57-82] multifactor model taking into account the possibility of errors-in-variables. In their well known paper, Fama and French [Fama, Eugene F., French, Kenneth R., 1997. Industry costs of equity. Journal of Financial Economic 43 (2), 153-193] concluded that estimates of the cost of equity for the three-factor model of FF (1993) were imprecise. We argue that this imprecision is even more severe because of the pervasive effects of measurement errors. We propose Dagenais and Dagenais [Dagenais, Marcel G., Dagenais, Denyse L., 1997. Higher moment estimators for linear regression models with errors in the variables. Journal of Econometrics 76 (1-2), 193-221] higher moments estimator as a solution. Our results show that estimates of the cost of equity obtained with Dagenais and Dagenais estimator differ sharply from popular OLS estimates and shed a new light on performance attribution and abnormal performance ([alpha]). Adapting the Generalized Treynor Ratio, recently developed by Hübner [Hübner, Georges, 2005. The generalized treynor ratio. Review of Finance 9 (3), 415-435], we show that the performance of managed portfolios with multi-index models should be revisited in presence of errors-in-variables.

Suggested Citation

  • Carmichael, Benoît & Coën, Alain, 2008. "Asset pricing models with errors-in-variables," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 778-788, September.
    • Handle: RePEc:eee:empfin:v:15:y:2008:i:4:p:778-788
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    References listed on IDEAS

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    3. Erkin Diyarbakirlioglu & Marc Desban & Souad Lajili Jarjir, 2022. "Asset pricing models with measurement error problems: A new framework with Compact Genetic Algorithms," Post-Print hal-03643083, HAL.
    4. James Schmidt & Hoa Tran, 2014. "The SHAC estimator in panel data with group-specific spatial lags," Letters in Spatial and Resource Sciences, Springer, vol. 7(2), pages 61-71, July.
    5. Ramazan Gencay & Nikola Gradojevic, 2009. "Errors-in-Variables Estimation with No Instruments," Working Paper series 30_09, Rimini Centre for Economic Analysis.
    6. Coën, Alain & Hübner, Georges, 2009. "Risk and performance estimation in hedge funds revisited: Evidence from errors in variables," Journal of Empirical Finance, Elsevier, vol. 16(1), pages 112-125, January.
    7. Laurent Bodson & Alain Coën & Georges Hübner, 2010. "Dynamic Hedge Fund Style Analysis With Errors‐In‐Variables," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 33(3), pages 201-221, September.

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