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A New Approach Based on Cumulants for Estimating Financial Regression Models with Errors in the Variables: the Fama and French Model Revisited

Author

Listed:
  • Alain Coen

    () (Département de stratégie des affaires, Université du Québec (Montréal))

  • Francois-Éric Racicot

    () (Département des sciences administratives, Université du Québec (Outaouais) et LRSP)

Abstract

This paper proposes to revisit both the CAPM and the three-factor model of Fama and French (1993) in presence of errors in the variables. To reduce the bias induced by measurement and specification errors, we transpose to the cost of equity an estimator based on cumulants of order three and four initially developed by Dagenais and Dagenais (1997) and lated generalized to financial models by Racicot (2003). Our results show that our technique has great and significant consequences on the measure of the cost of equity. We obtain ipso facto a new estimator of the Jensen alpha.

Suggested Citation

  • Alain Coen & Francois-Éric Racicot, 2006. "A New Approach Based on Cumulants for Estimating Financial Regression Models with Errors in the Variables: the Fama and French Model Revisited," RePAd Working Paper Series UQO-DSA-wp142006, Département des sciences administratives, UQO.
  • Handle: RePEc:pqs:wpaper:142006
    as

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    File URL: http://www.repad.org/ca/qc/uq/uqo/dsa/fr200605.pdf
    File Function: First version, 2006
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    References listed on IDEAS

    as
    1. Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    3. Dagenais, Marcel G., 1994. "Parameter estimation in regression models with errors in the variables and autocorrelated disturbances," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 145-163.
    4. Klepper, Steven & Leamer, Edward E, 1984. "Consistent Sets of Estimates for Regressions with Errors in All Variables," Econometrica, Econometric Society, vol. 52(1), pages 163-183, January.
    5. Carhart, Mark M, 1997. " On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    6. Pal, Manoranjan, 1980. "Consistent moment estimators of regression coefficients in the presence of errors in variables," Journal of Econometrics, Elsevier, vol. 14(3), pages 349-364, December.
    7. Kothari, S P & Shanken, Jay & Sloan, Richard G, 1995. " Another Look at the Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 185-224, March.
    8. Francois-Éric Racicot, 2000. "Estimation et tests en présence d'erreurs de mesure sur les variables explicatives : vérification empirique par la méthode de simulation Monte Carlo," RePAd Working Paper Series UQO-DSA-wp022008, Département des sciences administratives, UQO.
    9. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    10. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-146, March.
    11. Francois-Éric Racicot & Raymond Théoret & Alain Coen, 2006. "Towards New Empirical Versions of Financial and Accounting Models Corrected for Measurement Errors," RePAd Working Paper Series UQO-DSA-wp132006, Département des sciences administratives, UQO.
    12. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    14. Dagenais, Marcel G. & Dagenais, Denyse L., 1997. "Higher moment estimators for linear regression models with errors in the variables," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 193-221.
    15. Aigner, Dennis J. & Hsiao, Cheng & Kapteyn, Arie & Wansbeek, Tom, 1984. "Latent variable models in econometrics," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 23, pages 1321-1393 Elsevier.
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    More about this item

    Keywords

    Errors in the variables; cumulants; higher moments; instrumental variables; cost of equity; Jensen alpha.;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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