IDEAS home Printed from https://ideas.repec.org/p/fri/fribow/fribow00433.html
   My bibliography  Save this paper

A Note on the Impact of Portfolio Overlapping in Tests of the Fama and French Three-Factor Model

Author

Listed:
  • Wallmeier, Martin
  • Tauscher, Kathrin

Abstract

In the three-factor model of Fama and French (1993), portfolio returns are explained by the factors Small Minus Big (SMB) and High Minus Low (HML) which capture returns related to firm capitalization (size) and the book-to-market ratio (B/M). In the standard approach of the model, both the test portfolios and the factor portfolios SMB and HML are formed on the basis of size and B/M. This gives rise to a potential overlapping bias in the time-series regressions. Based on a resampling method and the split sample approach already proposed by Fama and French (1993), we provide an in-depth analysis of the effect of overlapping for a broad sample of European stocks. We find that the overlapping bias is non-negligible, contrary to what seems to be general opinion. As a consequence, the standard approach of applying the three-factor model tends to overestimate the ability of the model to explain the cross-section of stock returns.

Suggested Citation

  • Wallmeier, Martin & Tauscher, Kathrin, 2012. "A Note on the Impact of Portfolio Overlapping in Tests of the Fama and French Three-Factor Model," FSES Working Papers 433, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    • Handle: RePEc:fri:fribow:fribow00433
    as

    Download full text from publisher

    File URL: http://doc.rero.ch/record/30622/files/WP_SES_433.pdf
    Download Restriction: no
    ---><---

    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. Wayne E. Ferson & Campbell R. Harvey, 1999. "Conditioning Variables and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 54(4), pages 1325-1360, August.
    3. Eugene F. Fama & Kenneth R. French, 1998. "Value versus Growth: The International Evidence," Journal of Finance, American Finance Association, vol. 53(6), pages 1975-1999, December.
    4. Andreas Ziegler & Michael Schröder & Anja Schulz & Richard Stehle, 2007. "Multifaktormodelle zur Erklärung deutscher Aktienrenditen: Eine empirische Analyse," Schmalenbach Journal of Business Research, Springer, vol. 59(3), pages 355-389, May.
    5. Rob Bauer & Mathijs Cosemans & Peter C. Schotman, 2010. "Conditional Asset Pricing and Stock Market Anomalies in Europe," European Financial Management, European Financial Management Association, vol. 16(2), pages 165-190, March.
    6. James L. Davis & Eugene F. Fama & Kenneth R. French, 2000. "Characteristics, Covariances, and Average Returns: 1929 to 1997," Journal of Finance, American Finance Association, vol. 55(1), pages 389-406, February.
    7. Kent Daniel & Sheridan Titman & K.C. John Wei, 2001. "Explaining the Cross‐Section of Stock Returns in Japan: Factors or Characteristics?," Journal of Finance, American Finance Association, vol. 56(2), pages 743-766, April.
    8. Ang, Andrew & Chen, Joseph, 2007. "CAPM over the long run: 1926-2001," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 1-40, January.
    9. Pastor, Lubos & Stambaugh, Robert F., 2000. "Comparing asset pricing models: an investment perspective," Journal of Financial Economics, Elsevier, vol. 56(3), pages 335-381, June.
    10. Wu, Xueping, 2002. "A conditional multifactor analysis of return momentum," Journal of Banking & Finance, Elsevier, vol. 26(8), pages 1675-1696, August.
    11. Adrian, Tobias & Franzoni, Francesco, 2009. "Learning about beta: Time-varying factor loadings, expected returns, and the conditional CAPM," Journal of Empirical Finance, Elsevier, vol. 16(4), pages 537-556, September.
    12. Fama, Eugene F. & French, Kenneth R., 2012. "Size, value, and momentum in international stock returns," Journal of Financial Economics, Elsevier, vol. 105(3), pages 457-472.
    13. John M. Griffin & Xiuqing Ji & J. Spencer Martin, 2003. "Momentum Investing and Business Cycle Risk: Evidence from Pole to Pole," Journal of Finance, American Finance Association, vol. 58(6), pages 2515-2547, December.
    14. Doron Avramov & Tarun Chordia, 2006. "Asset Pricing Models and Financial Market Anomalies," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 1001-1040.
    15. Lewellen, Jonathan & Nagel, Stefan, 2006. "The conditional CAPM does not explain asset-pricing anomalies," Journal of Financial Economics, Elsevier, vol. 82(2), pages 289-314, November.
    16. Steven L. Heston & K. Geert Rouwenhorst & Roberto E. Wessels, 1999. "The Role of Beta and Size in the Cross‐Section of European Stock Returns," European Financial Management, European Financial Management Association, vol. 5(1), pages 9-27, March.
    17. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, February.
    18. Jonathan B. Berk, 2000. "Sorting Out Sorts," Journal of Finance, American Finance Association, vol. 55(1), pages 407-427, February.
    19. Daniel, Kent & Titman, Sheridan, 1997. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," Journal of Finance, American Finance Association, vol. 52(1), pages 1-33, March.
    20. 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.
    21. Kevin Q. Wang, 2003. "Asset Pricing with Conditioning Information: A New Test," Journal of Finance, American Finance Association, vol. 58(1), pages 161-196, February.
    22. Petkova, Ralitsa & Zhang, Lu, 2005. "Is value riskier than growth?," Journal of Financial Economics, Elsevier, vol. 78(1), pages 187-202, October.
    23. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    24. Andreas Schrimpf & Michael Schröder & Richard Stehle, 2007. "Cross‐sectional Tests of Conditional Asset Pricing Models: Evidence from the German Stock Market," European Financial Management, European Financial Management Association, vol. 13(5), pages 880-907, November.
    25. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    26. K. Geert Rouwenhorst, 1998. "International Momentum Strategies," Journal of Finance, American Finance Association, vol. 53(1), pages 267-284, February.
    27. Brennan, Michael J. & Chordia, Tarun & Subrahmanyam, Avanidhar, 1998. "Alternative factor specifications, security characteristics, and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 49(3), pages 345-373, September.
    28. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    29. Tano Santos & Pietro Veronesi, 2006. "Labor Income and Predictable Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 1-44.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Thomas Walker & Kerstin Lopatta & Thomas Kaspereit, 2014. "Corporate sustainability in asset pricing models and mutual funds performance measurement," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 28(4), pages 363-407, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kathrin Tauscher & Martin Wallmeier, 2016. "Portfolio Overlapping Bias in Tests of the Fama–French Three†Factor Model," European Financial Management, European Financial Management Association, vol. 22(3), pages 367-393, June.
    2. Rob Bauer & Mathijs Cosemans & Peter C. Schotman, 2010. "Conditional Asset Pricing and Stock Market Anomalies in Europe," European Financial Management, European Financial Management Association, vol. 16(2), pages 165-190, March.
    3. Amit Goyal, 2012. "Empirical cross-sectional asset pricing: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(1), pages 3-38, March.
    4. Eero Pätäri & Timo Leivo, 2017. "A Closer Look At Value Premium: Literature Review And Synthesis," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 79-168, February.
    5. Avanidhar Subrahmanyam, 2010. "The Cross†Section of Expected Stock Returns: What Have We Learnt from the Past Twenty†Five Years of Research?," European Financial Management, European Financial Management Association, vol. 16(1), pages 27-42, January.
    6. Azamat Abdymomunov & James Morley, 2011. "Time variation of CAPM betas across market volatility regimes," Applied Financial Economics, Taylor & Francis Journals, vol. 21(19), pages 1463-1478.
    7. repec:fau:fauart:v:65:y:2015:i:1:p:84-104 is not listed on IDEAS
    8. Amir Amel†Zadeh, 2011. "The Return of the Size Anomaly: Evidence from the German Stock Market," European Financial Management, European Financial Management Association, vol. 17(1), pages 145-182, January.
    9. Du, Ding, 2013. "Another look at the cross-section and time-series of stock returns: 1951 to 2011," Journal of Empirical Finance, Elsevier, vol. 20(C), pages 130-146.
    10. Cronqvist, Henrik & Siegel, Stephan & Yu, Frank, 2015. "Value versus growth investing: Why do different investors have different styles?," Journal of Financial Economics, Elsevier, vol. 117(2), pages 333-349.
    11. Christian Walkshäusl & Sebastian Lobe, 2014. "The Alternative Three†Factor Model: An Alternative beyond US Markets?," European Financial Management, European Financial Management Association, vol. 20(1), pages 33-70, January.
    12. Da, Zhi & Guo, Re-Jin & Jagannathan, Ravi, 2012. "CAPM for estimating the cost of equity capital: Interpreting the empirical evidence," Journal of Financial Economics, Elsevier, vol. 103(1), pages 204-220.
    13. Boguth, Oliver & Carlson, Murray & Fisher, Adlai & Simutin, Mikhail, 2011. "Conditional risk and performance evaluation: Volatility timing, overconditioning, and new estimates of momentum alphas," Journal of Financial Economics, Elsevier, vol. 102(2), pages 363-389.
    14. Stefan Nagel, 2013. "Empirical Cross-Sectional Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 5(1), pages 167-199, November.
    15. Cooper, Michael J. & Gubellini, Stefano, 2011. "The critical role of conditioning information in determining if value is really riskier than growth," Journal of Empirical Finance, Elsevier, vol. 18(2), pages 289-305, March.
    16. Calvet, Laurent E. & Betermier, Sebastien & Jo, Evan, 2019. "A Supply and Demand Approach to Equity Pricing," CEPR Discussion Papers 13974, C.E.P.R. Discussion Papers.
    17. Gregory Nazaire & Maria Pacurar & Oumar Sy, 2020. "Betas versus characteristics: A practical perspective," European Financial Management, European Financial Management Association, vol. 26(5), pages 1385-1413, November.
    18. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    19. Sebastien Valeyre, 2020. "Refined model of the covariance/correlation matrix between securities," Papers 2001.08911, arXiv.org.
    20. Xiafei Li & Chris Brooks & Joëlle Miffre, 2009. "The Value Premium and Time-Varying Volatility," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(9-10), pages 1252-1272.
    21. Sheridan Titman & Matthias Hanauer, 2014. "Is Japan Different? Evidence on Momentum and Market Dynamics," International Review of Finance, International Review of Finance Ltd., vol. 14(1), pages 141-160, March.

    More about this item

    Keywords

    Asset pricing; three-factor model; portfolio overlapping; size effect; value premium;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fri:fribow:fribow00433. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mustapha Obbad (email available below). General contact details of provider: https://edirc.repec.org/data/wsffrch.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.