IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/22894.html
   My bibliography  Save this paper

The History of the Cross Section of Stock Returns

Author

Listed:
  • Juhani T. Linnainmaa
  • Michael R. Roberts

Abstract

Using data spanning the 20th century, we show that most accounting-based return anomalies are spurious. When examined out-of-sample by moving either backward or forward in time, anomalies' average returns decrease, and volatilities and correlations with other anomalies increase. The data-snooping problem is so severe that even the true asset pricing model is expected to be rejected when tested using in-sample data. Our results suggest that asset pricing models should be tested using out-of-sample data or, when not feasible, by whether a model is able to explain half of the in-sample alpha.

Suggested Citation

  • Juhani T. Linnainmaa & Michael R. Roberts, 2016. "The History of the Cross Section of Stock Returns," NBER Working Papers 22894, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:22894
    Note: AP
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w22894.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2003. "The Value Spread," Journal of Finance, American Finance Association, vol. 58(2), pages 609-641, April.
    2. Tuomo Vuolteenaho, 2002. "What Drives Firm‐Level Stock Returns?," Journal of Finance, American Finance Association, vol. 57(1), pages 233-264, February.
    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. John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2008. "In Search of Distress Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2899-2939, December.
    5. Eli Bartov & Myungsun Kim, 2004. "Risk, Mispricing, and Value Investing," Review of Quantitative Finance and Accounting, Springer, vol. 23(4), pages 353-376, December.
    6. Paul A. Gompers & Josh Lerner, 2003. "The Really Long‐Run Performance of Initial Public Offerings: The Pre‐Nasdaq Evidence," Journal of Finance, American Finance Association, vol. 58(4), pages 1355-1392, August.
    7. Laurent Barras & Olivier Scaillet & Russ Wermers, 2010. "False Discoveries in Mutual Fund Performance: Measuring Luck in Estimated Alphas," Journal of Finance, American Finance Association, vol. 65(1), pages 179-216, February.
    8. 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.
    9. Hirshleifer, David & Kewei Hou & Teoh, Siew Hong & Yinglei Zhang, 2004. "Do investors overvalue firms with bloated balance sheets?," Journal of Accounting and Economics, Elsevier, vol. 38(1), pages 297-331, December.
    10. Michael J. Cooper & Huseyin Gulen & Michael J. Schill, 2008. "Asset Growth and the Cross‐Section of Stock Returns," Journal of Finance, American Finance Association, vol. 63(4), pages 1609-1651, August.
    11. Bhandari, Laxmi Chand, 1988. " Debt/Equity Ratio and Expected Common Stock Returns: Empirical Evidence," Journal of Finance, American Finance Association, vol. 43(2), pages 507-528, June.
    12. Edward I. Altman, 1968. "The Prediction Of Corporate Bankruptcy: A Discriminant Analysis," Journal of Finance, American Finance Association, vol. 23(1), pages 193-194, March.
    13. Nagel, Stefan, 2005. "Short sales, institutional investors and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 78(2), pages 277-309, November.
    14. Kent Daniel & Sheridan Titman, 2006. "Market Reactions to Tangible and Intangible Information," Journal of Finance, American Finance Association, vol. 61(4), pages 1605-1643, August.
    15. Barber, Brad M & Lyon, John D, 1997. "Firm Size, Book-to-Market Ratio, and Security Returns: A Holdout Sample of Financial Firms," Journal of Finance, American Finance Association, vol. 52(2), pages 875-883, June.
    16. Kewei Hou & Chen Xue & Lu Zhang, 2015. "Editor's Choice Digesting Anomalies: An Investment Approach," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 650-705.
    17. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    18. Loughran, Tim & Wellman, Jay W., 2011. "New Evidence on the Relation between the Enterprise Multiple and Average Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(6), pages 1629-1650, December.
    19. Jacob Boudoukh & Roni Michaely & Matthew Richardson & Michael R. Roberts, 2007. "On the Importance of Measuring Payout Yield: Implications for Empirical Asset Pricing," Journal of Finance, American Finance Association, vol. 62(2), pages 877-915, April.
    20. Robert Kosowski & Allan Timmermann & Russ Wermers & Hal White, 2006. "Can Mutual Fund “Stars” Really Pick Stocks? New Evidence from a Bootstrap Analysis," Journal of Finance, American Finance Association, vol. 61(6), pages 2551-2595, December.
    21. Clifford S. Asness & Tobias J. Moskowitz & Lasse Heje Pedersen, 2013. "Value and Momentum Everywhere," Journal of Finance, American Finance Association, vol. 68(3), pages 929-985, June.
    22. Jeffrey Pontiff & Artemiza Woodgate, 2008. "Share Issuance and Cross‐sectional Returns," Journal of Finance, American Finance Association, vol. 63(2), pages 921-945, April.
    23. Basu, S, 1977. "Investment Performance of Common Stocks in Relation to Their Price-Earnings Ratios: A Test of the Efficient Market Hypothesis," Journal of Finance, American Finance Association, vol. 32(3), pages 663-682, June.
    24. 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.
    25. Narasimhan Jegadeesh & Sheridan Titman, 2001. "Profitability of Momentum Strategies: An Evaluation of Alternative Explanations," Journal of Finance, American Finance Association, vol. 56(2), pages 699-720, April.
    26. Lakonishok, Josef & Shleifer, Andrei & Vishny, Robert W, 1994. "Contrarian Investment, Extrapolation, and Risk," Journal of Finance, American Finance Association, vol. 49(5), pages 1541-1578, December.
    27. Ball, Ray & Gerakos, Joseph & Linnainmaa, Juhani T. & Nikolaev, Valeri V., 2015. "Deflating profitability," Journal of Financial Economics, Elsevier, vol. 117(2), pages 225-248.
    28. Bradshaw, Mark T. & Richardson, Scott A. & Sloan, Richard G., 2006. "The relation between corporate financing activities, analysts' forecasts and stock returns," Journal of Accounting and Economics, Elsevier, vol. 42(1-2), pages 53-85, October.
    29. Eugene F. Fama & Kenneth R. French, 2010. "Luck versus Skill in the Cross‐Section of Mutual Fund Returns," Journal of Finance, American Finance Association, vol. 65(5), pages 1915-1947, October.
    30. 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.
    31. Kenneth R. French, 2008. "Presidential Address: The Cost of Active Investing," Journal of Finance, American Finance Association, vol. 63(4), pages 1537-1573, August.
    32. 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.
    33. repec:cup:jfinqa:v:46:y:2011:i:06:p:1629-1650_00 is not listed on IDEAS
    34. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    35. Eugene F. Fama & Kenneth R. French, 2008. "Average Returns, B/M, and Share Issues," Journal of Finance, American Finance Association, vol. 63(6), pages 2971-2995, December.
    36. John H. Cochrane, 2011. "Presidential Address: Discount Rates," Journal of Finance, American Finance Association, vol. 66(4), pages 1047-1108, August.
    37. Ang, Andrew & Chen, Joseph, 2007. "CAPM over the long run: 1926-2001," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 1-40, January.
    38. Andrew Ang & Assaf A. Shtauber & Paul C. Tetlock, 2013. "Asset Pricing in the Dark: The Cross-Section of OTC Stocks," The Review of Financial Studies, Society for Financial Studies, vol. 26(12), pages 2985-3028.
    39. Edward I. Altman, 1968. "Financial Ratios, Discriminant Analysis And The Prediction Of Corporate Bankruptcy," Journal of Finance, American Finance Association, vol. 23(4), pages 589-609, September.
    40. Ohlson, Ja, 1980. "Financial Ratios And The Probabilistic Prediction Of Bankruptcy," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 109-131.
    41. Yuhang Xing, 2008. "Interpreting the Value Effect Through the Q-Theory: An Empirical Investigation," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1767-1795, July.
    42. Eugene F. Fama & Kenneth R. French, 2006. "The Value Premium and the CAPM," Journal of Finance, American Finance Association, vol. 61(5), pages 2163-2185, October.
    43. Larry Lockwood & Wikrom Prombutr, 2010. "Sustainable Growth And Stock Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 33(4), pages 519-538, December.
    44. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2003. "The Value Spread," Journal of Finance, American Finance Association, vol. 58(2), pages 609-642, April.
    45. Piotroski, JD, 2000. "Value investing: The use of historical financial statement information to separate winners from losers," Journal of Accounting Research, Wiley Blackwell, vol. 38, pages 1-41.
    46. Graham, John R. & Leary, Mark T. & Roberts, Michael R., 2015. "A century of capital structure: The leveraging of corporate America," Journal of Financial Economics, Elsevier, vol. 118(3), pages 658-683.
    47. 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.
    48. 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.
    49. Alwathainani, Abdulaziz M., 2009. "Consistency of firms' past financial performance measures and future returns," The British Accounting Review, Elsevier, vol. 41(3), pages 184-196.
    50. Titman, Sheridan & Wei, K. C. John & Xie, Feixue, 2004. "Capital Investments and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 677-700, December.
    51. Evgeny Lyandres & Le Sun & Lu Zhang, 2008. "The New Issues Puzzle: Testing the Investment-Based Explanation," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2825-2855, November.
    52. Joel Hasbrouck, 2009. "Trading Costs and Returns for U.S. Equities: Estimating Effective Costs from Daily Data," Journal of Finance, American Finance Association, vol. 64(3), pages 1445-1477, June.
    53. Shumway, Tyler, 1997. "The Delisting Bias in CRSP Data," Journal of Finance, American Finance Association, vol. 52(1), pages 327-340, March.
    54. Ilia D. Dichev, 1998. "Is the Risk of Bankruptcy a Systematic Risk?," Journal of Finance, American Finance Association, vol. 53(3), pages 1131-1147, June.
    55. Juhani T. Linnainmaa, 2013. "Reverse Survivorship Bias," Journal of Finance, American Finance Association, vol. 68(3), pages 789-813, June.
    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. Andrew Y Chen & Tom Zimmermann & Jeffrey Pontiff, 2020. "Publication Bias and the Cross-Section of Stock Returns," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 10(2), pages 249-289.
    2. Anna Kovner & Peter Van Tassel, 2022. "Evaluating Regulatory Reform: Banks' Cost of Capital and Lending," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(5), pages 1313-1367, August.
    3. Hou, Kewei & Xue, Chen & Zhang, Lu, 2017. "Replicating Anomalies," Working Paper Series 2017-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    4. Xiaomeng Lu & Robert F. Stambaugh & Yu Yuan, 2017. "Anomalies Abroad: Beyond Data Mining," NBER Working Papers 23809, National Bureau of Economic Research, Inc.
    5. Qianwei Ying & Tahir Yousaf & Qurat ul Ain & Yasmeen Akhtar & Muhammad Shahid Rasheed, 2019. "Stock Investment and Excess Returns: A Critical Review in the Light of the Efficient Market Hypothesis," JRFM, MDPI, vol. 12(2), pages 1-22, June.
    6. Andrew Detzel & Philipp Schaberl & Jack Strauss, 2018. "There are two very different accruals anomalies," European Financial Management, European Financial Management Association, vol. 24(4), pages 581-609, September.
    7. Kaserer Christoph & Hanauer Matthias X., 2017. "25 Jahre Fama-French-Modell: Erklärungsgehalt, Anomalien und praktische Implikationen," Perspektiven der Wirtschaftspolitik, De Gruyter, vol. 18(2), pages 98-116, June.
    8. John H. Cochrane, 2017. "Macro-Finance," Review of Finance, European Finance Association, vol. 21(3), pages 945-985.
    9. Alexander M. Chinco & Adam D. Clark-Joseph & Mao Ye, 2017. "Sparse Signals in the Cross-Section of Returns," NBER Working Papers 23933, National Bureau of Economic Research, Inc.
    10. Franke, Benedikt & Müller, Sebastian & Müller, Sonja, 2017. "The q-factors and expected bond returns," Journal of Banking & Finance, Elsevier, vol. 83(C), pages 19-35.
    11. Wahal, Sunil, 2019. "The profitability and investment premium: Pre-1963 evidence," Journal of Financial Economics, Elsevier, vol. 131(2), pages 362-377.
    12. Miriam Arden & Tiemen Woutersen, 2021. "A Balanced Portfolio Can Have a Higher Geometric Return Than the Risky Asset," JRFM, MDPI, vol. 14(9), pages 1-5, September.
    13. DeMiguel, Victor & Martin-Utrera, Alberto & Nogales, Francisco J. & Uppal, Raman, 2017. "A Portfolio Perspective on the Multitude of Firm Characteristics," CEPR Discussion Papers 12417, C.E.P.R. Discussion Papers.

    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. Geertsema, Paul & Lu, Helen, 2020. "The correlation structure of anomaly strategies," Journal of Banking & Finance, Elsevier, vol. 119(C).
    2. Hou, Kewei & Xue, Chen & Zhang, Lu, 2017. "Replicating Anomalies," Working Paper Series 2017-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    3. Wang, Feifei & Yan, Xuemin Sterling, 2021. "Downside risk and the performance of volatility-managed portfolios," Journal of Banking & Finance, Elsevier, vol. 131(C).
    4. Cederburg, Scott & O’Doherty, Michael S. & Wang, Feifei & Yan, Xuemin (Sterling), 2020. "On the performance of volatility-managed portfolios," Journal of Financial Economics, Elsevier, vol. 138(1), pages 95-117.
    5. Tobek, Ondrej & Hronec, Martin, 2021. "Does it pay to follow anomalies research? Machine learning approach with international evidence," Journal of Financial Markets, Elsevier, vol. 56(C).
    6. Nettayanun, Sampan, 2023. "Asset pricing in bull and bear markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 83(C).
    7. Stefan Nagel, 2013. "Empirical Cross-Sectional Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 5(1), pages 167-199, November.
    8. Kewei Hou & Haitao Mo & Chen Xue & Lu Zhang, 2019. "Which Factors?," Review of Finance, European Finance Association, vol. 23(1), pages 1-35.
    9. 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.
    10. 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.
    11. Joachim Freyberger & Andreas Neuhierl & Michael Weber, 2020. "Dissecting Characteristics Nonparametrically," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2326-2377.
    12. Andrew Y. Chen & Tom Zimmermann, 2022. "Open Source Cross-Sectional Asset Pricing," Critical Finance Review, now publishers, vol. 11(2), pages 207-264, May.
    13. Bartram, Söhnke M. & Grinblatt, Mark, 2018. "Agnostic fundamental analysis works," Journal of Financial Economics, Elsevier, vol. 128(1), pages 125-147.
    14. Lu Zhang, 2017. "The Investment CAPM," European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
    15. Kristoffer Pons Bertelsen, 2022. "The Prior Adaptive Group Lasso and the Factor Zoo," CREATES Research Papers 2022-05, Department of Economics and Business Economics, Aarhus University.
    16. Hanauer, Matthias X. & Lauterbach, Jochim G., 2019. "The cross-section of emerging market stock returns," Emerging Markets Review, Elsevier, vol. 38(C), pages 265-286.
    17. Wang, Baolian, 2019. "The cash conversion cycle spread," Journal of Financial Economics, Elsevier, vol. 133(2), pages 472-497.
    18. Clifford S. Asness & Andrea Frazzini & Lasse Heje Pedersen, 2019. "Quality minus junk," Review of Accounting Studies, Springer, vol. 24(1), pages 34-112, March.
    19. Ball, Ray & Gerakos, Joseph & Linnainmaa, Juhani T. & Nikolaev, Valeri, 2020. "Earnings, retained earnings, and book-to-market in the cross section of expected returns," Journal of Financial Economics, Elsevier, vol. 135(1), pages 231-254.
    20. 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.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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:nbr:nberwo:22894. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.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.