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Behavioral bias in number processing: Evidence from analysts’ expectations

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  • Roger, Tristan
  • Roger, Patrick
  • Schatt, Alain

Abstract

Research in neuropsychology shows that individuals process small and large numbers differently. Small numbers are processed on a linear scale, while large numbers are processed on a logarithmic scale. In this paper, we show that financial analysts process small prices and large prices differently. When they are optimistic (pessimistic), analysts issue more optimistic (pessimistic) target prices for small price stocks than for large price stocks. Our results are robust when controlling for the usual risk factors such as size, book-to-market, momentum, profitability and investments. They are also robust when we control for firm and analyst characteristics, or for other biases such as the 52-week high bias, the preference for lottery-type stocks and positive skewness, and the analyst tendency to round numbers. Finally, we show that analysts become more optimistic after stock splits. Overall, our results suggest that a deeply-rooted behavioral bias in number processing drives analysts’ return expectations.

Suggested Citation

  • Roger, Tristan & Roger, Patrick & Schatt, Alain, 2018. "Behavioral bias in number processing: Evidence from analysts’ expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 149(C), pages 315-331.
  • Handle: RePEc:eee:jeborg:v:149:y:2018:i:c:p:315-331
    DOI: 10.1016/j.jebo.2018.02.026
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    as
    1. Cen, Ling & Hilary, Gilles & Wei, K. C. John, 2013. "The Role of Anchoring Bias in the Equity Market: Evidence from Analysts’ Earnings Forecasts and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(1), pages 47-76, February.
    2. Lin, Hsiou-wei & McNichols, Maureen F., 1998. "Underwriting relationships, analysts' earnings forecasts and investment recommendations," Journal of Accounting and Economics, Elsevier, vol. 25(1), pages 101-127, February.
    3. Mehran, Hamid & Stulz, Rene M., 2007. "The economics of conflicts of interest in financial institutions," Journal of Financial Economics, Elsevier, vol. 85(2), pages 267-296, August.
    4. Shuping Chen & Dawn A. Matsumoto, 2006. "Favorable versus Unfavorable Recommendations: The Impact on Analyst Access to Management‐Provided Information," Journal of Accounting Research, Wiley Blackwell, vol. 44(4), pages 657-689, September.
    5. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    6. Sebastian Ebert & Daniel Wiesen, 2011. "Testing for Prudence and Skewness Seeking," Management Science, INFORMS, vol. 57(7), pages 1334-1349, July.
    7. Foong Soon Cheong & Jacob Thomas, 2011. "Why Do EPS Forecast Error and Dispersion Not Vary with Scale? Implications for Analyst and Managerial Behavior," Journal of Accounting Research, Wiley Blackwell, vol. 49(2), pages 359-401, May.
    8. Ikenberry, David L. & Rankine, Graeme & Stice, Earl K., 1996. "What Do Stock Splits Really Signal?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(3), pages 357-375, September.
    9. Mark Grinblatt & Matti Keloharju, 2001. "What Makes Investors Trade?," Journal of Finance, American Finance Association, vol. 56(2), pages 589-616, April.
    10. Birru, Justin & Wang, Baolian, 2016. "Nominal price illusion," Journal of Financial Economics, Elsevier, vol. 119(3), pages 578-598.
    11. Asquith, Paul & Mikhail, Michael B. & Au, Andrea S., 2005. "Information content of equity analyst reports," Journal of Financial Economics, Elsevier, vol. 75(2), pages 245-282, February.
    12. Jones, Jj, 1991. "Earnings Management During Import Relief Investigations," Journal of Accounting Research, Wiley Blackwell, vol. 29(2), pages 193-228.
    13. Green, T. Clifton & Hwang, Byoung-Hyoun, 2009. "Price-based return comovement," Journal of Financial Economics, Elsevier, vol. 93(1), pages 37-50, July.
    14. repec:bla:jfinan:v:59:y:2004:i:5:p:2145-2176 is not listed on IDEAS
    15. A. Smith, Jeffrey & E. Todd, Petra, 2005. "Does matching overcome LaLonde's critique of nonexperimental estimators?," Journal of Econometrics, Elsevier, vol. 125(1-2), pages 305-353.
    16. Kumar, Alok & Page, Jeremy K. & Spalt, Oliver G., 2016. "Gambling and Comovement," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(1), pages 85-111, February.
    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. Bin Ke & Yong Yu, 2006. "The Effect of Issuing Biased Earnings Forecasts on Analysts' Access to Management and Survival," Journal of Accounting Research, Wiley Blackwell, vol. 44(5), pages 965-999, December.
    19. Baker, Malcolm & Pan, Xin & Wurgler, Jeffrey, 2012. "The effect of reference point prices on mergers and acquisitions," Journal of Financial Economics, Elsevier, vol. 106(1), pages 49-71.
    20. Alok Kumar, 2009. "Who Gambles in the Stock Market?," Journal of Finance, American Finance Association, vol. 64(4), pages 1889-1933, August.
    21. 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.
    22. Malcolm Baker & Robin Greenwood & Jeffrey Wurgler, 2009. "Catering through Nominal Share Prices," Journal of Finance, American Finance Association, vol. 64(6), pages 2559-2590, December.
    23. Graham, John R. & Harvey, Campbell R. & Rajgopal, Shiva, 2005. "The economic implications of corporate financial reporting," Journal of Accounting and Economics, Elsevier, vol. 40(1-3), pages 3-73, December.
    24. Harrison Hong & Jeffrey D. Kubik, 2003. "Analyzing the Analysts: Career Concerns and Biased Earnings Forecasts," Journal of Finance, American Finance Association, vol. 58(1), pages 313-351, February.
    25. 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.
    26. Kristina Minnick & Kartik Raman, 2014. "Why are Stock Splits Declining?," Financial Management, Financial Management Association International, vol. 43(1), pages 29-60, March.
    27. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    28. William J. Mayew, 2008. "Evidence of Management Discrimination Among Analysts during Earnings Conference Calls," Journal of Accounting Research, Wiley Blackwell, vol. 46(3), pages 627-659, June.
    29. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    30. repec:bla:jfinan:v:58:y:2003:i:5:p:1933-1968 is not listed on IDEAS
    31. Bhushan, Ravi, 1989. "Firm characteristics and analyst following," Journal of Accounting and Economics, Elsevier, vol. 11(2-3), pages 255-274, July.
    32. Ramnath, Sundaresh & Rock, Steve & Shane, Philip, 2008. "The financial analyst forecasting literature: A taxonomy with suggestions for further research," International Journal of Forecasting, Elsevier, vol. 24(1), pages 34-75.
    33. Fama, Eugene F, et al, 1969. "The Adjustment of Stock Prices to New Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(1), pages 1-21, February.
    34. repec:bla:jfinan:v:53:y:1998:i:6:p:1935-1974 is not listed on IDEAS
    35. Terence Lim, 2001. "Rationality and Analysts' Forecast Bias," Journal of Finance, American Finance Association, vol. 56(1), pages 369-385, February.
    36. Barber, Brad M. & De George, Emmanuel T. & Lehavy, Reuven & Trueman, Brett, 2013. "The earnings announcement premium around the globe," Journal of Financial Economics, Elsevier, vol. 108(1), pages 118-138.
    37. 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.
    38. Teoh, Siew Hong & Welch, Ivo & Wong, T. J., 1998. "Earnings management and the underperformance of seasoned equity offerings," Journal of Financial Economics, Elsevier, vol. 50(1), pages 63-99, October.
    39. 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.
    40. Alon Brav & Reuven Lehavy & Roni Michaely, 2005. "Using Expectations to Test Asset Pricing Models," Financial Management, Financial Management Association, vol. 34(3), Fall.
    41. Francis, J & Philbrick, D, 1993. "Analysts Decisions As Products Of A Multitask Environment," Journal of Accounting Research, Wiley Blackwell, vol. 31(2), pages 216-230.
    42. Devos, Erik & Elliott, William B. & Warr, Richard S., 2015. "CEO opportunism?: Option grants and stock trades around stock splits," Journal of Accounting and Economics, Elsevier, vol. 60(1), pages 18-35.
    43. Todd Mitton & Keith Vorkink, 2007. "Equilibrium Underdiversification and the Preference for Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1255-1288.
    44. McNichols, M & O'Brien, PC, 1997. "Self-selection and analyst coverage," Journal of Accounting Research, Wiley Blackwell, vol. 35, pages 167-199.
    45. Dan W. French & Taylor W. Foster, III, 2002. "Does Price Discreteness Affect the Increase in Return Volatility Following Stock Splits?," The Financial Review, Eastern Finance Association, vol. 37(2), pages 281-293, May.
    46. Lemmon, Michael & Roberts, Michael R., 2010. "The Response of Corporate Financing and Investment to Changes in the Supply of Credit," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(3), pages 555-587, June.
    47. Lin, Ji-Chai & Singh, Ajai K. & Yu, Wen, 2009. "Stock splits, trading continuity, and the cost of equity capital," Journal of Financial Economics, Elsevier, vol. 93(3), pages 474-489, September.
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