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Safety first, loss probability, and the cross section of expected stock returns

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  • Cao, Ji
  • Rieger, Marc Oliver
  • Zhao, Lei

Abstract

Recent studies show that loss probability (LP) is a decisive factor when people evaluate assets in laboratory experiments, suggesting a positive relationship between LP and expected stock returns. This corresponds to the classical “Safety-First” principle. We find strong empirical support for this prediction in the U.S. stock market. During our sample period, average risk-adjusted return differences between stocks in the two extreme LP deciles exceed 0.57% per month. The positive LP effect, characterized by the intention of some investors to pay low prices for high LP stocks, remains significant after controlling for traditional downside risk measures.

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  • Cao, Ji & Rieger, Marc Oliver & Zhao, Lei, 2023. "Safety first, loss probability, and the cross section of expected stock returns," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 345-369.
    • Handle: RePEc:eee:jeborg:v:211:y:2023:i:c:p:345-369
    DOI: 10.1016/j.jebo.2023.04.022
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    as
    1. Kelly, Bryan T. & Pruitt, Seth & Su, Yinan, 2019. "Characteristics are covariances: A unified model of risk and return," Journal of Financial Economics, Elsevier, vol. 134(3), pages 501-524.
    2. 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.
    3. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    4. Bryan Kelly & Hao Jiang, 2014. "Editor's Choice Tail Risk and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 27(10), pages 2841-2871.
    5. Bali, Turan G. & Cakici, Nusret & Whitelaw, Robert F., 2011. "Maxing out: Stocks as lotteries and the cross-section of expected returns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 427-446, February.
    6. Michael Stutzer, 2011. "Portfolio choice with endogenous utility: a large deviations approach," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 43, pages 619-640, World Scientific Publishing Co. Pte. Ltd..
    7. Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
    8. Turan G. Bali & Nusret Cakici & Robert F. Whitelaw, 2014. "Hybrid Tail Risk and Expected Stock Returns: When Does the Tail Wag the Dog?," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 4(2), pages 206-246.
    9. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Rejoinder on: Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 418-426.
    10. William J. Bazley & Henrik Cronqvist & Milica Mormann, 2021. "Visual Finance: The Pervasive Effects of Red on Investor Behavior," Management Science, INFORMS, vol. 67(9), pages 5616-5641, September.
    11. Nicholas Barberis & Abhiroop Mukherjee & Baolian Wang, 2016. "Prospect Theory and Stock Returns: An Empirical Test," The Review of Financial Studies, Society for Financial Studies, vol. 29(11), pages 3068-3107.
    12. Lesmond, David A & Ogden, Joseph P & Trzcinka, Charles A, 1999. "A New Estimate of Transaction Costs," The Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 1113-1141.
    13. Felix Holzmeister & Jürgen Huber & Michael Kirchler & Florian Lindner & Utz Weitzel & Stefan Zeisberger, 2020. "What Drives Risk Perception? A Global Survey with Financial Professionals and Laypeople," Management Science, INFORMS, vol. 66(9), pages 3977-4002, September.
    14. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 333-376.
    15. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    16. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Abstract: Capital Market Equilibrium in a Mean-Lower Partial Moment Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 635-635, November.
    17. 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.
    18. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    19. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    20. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    21. Bruce N. Lehmann, 1990. "Fads, Martingales, and Market Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 1-28.
    22. John Gathergood & David Hirshleifer & David Leake & Hiroaki Sakaguchi & Neil Stewart, 2023. "Naïve Buying Diversification and Narrow Framing by Individual Investors," Journal of Finance, American Finance Association, vol. 78(3), pages 1705-1741, June.
    23. Kent Daniel & David Hirshleifer & Lin Sun, 2020. "Short- and Long-Horizon Behavioral Factors," The Review of Financial Studies, Society for Financial Studies, vol. 33(4), pages 1673-1736.
    24. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    25. Hou, Kewei & Loh, Roger K., 2016. "Have we solved the idiosyncratic volatility puzzle?," Journal of Financial Economics, Elsevier, vol. 121(1), pages 167-194.
    26. Shefrin, Hersh & Statman, Meir, 2000. "Behavioral Portfolio Theory," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(2), pages 127-151, June.
    27. Michael Ungeheuer & Martin Weber, 2021. "The Perception of Dependence, Investment Decisions, and Stock Prices," Journal of Finance, American Finance Association, vol. 76(2), pages 797-844, April.
    28. Thaler, Richard, 1980. "Toward a positive theory of consumer choice," Journal of Economic Behavior & Organization, Elsevier, vol. 1(1), pages 39-60, March.
    29. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    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. Turan G. Bali & Lin Peng & Yannan Shen & Yi Tang, 2014. "Liquidity Shocks and Stock Market Reactions," The Review of Financial Studies, Society for Financial Studies, vol. 27(5), pages 1434-1485.
    32. Borsboom, Charlotte & Zeisberger, Stefan, 2020. "What makes an investment risky? An analysis of price path characteristics," Journal of Economic Behavior & Organization, Elsevier, vol. 169(C), pages 92-125.
    33. Jang, Jeewon & Kang, Jangkoo, 2019. "Probability of price crashes, rational speculative bubbles, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 132(1), pages 222-247.
    34. John H. Cochrane, 2011. "Presidential Address: Discount Rates," Journal of Finance, American Finance Association, vol. 66(4), pages 1047-1108, August.
    35. Zhi Da & Umit G. Gurun & Mitch Warachka, 2014. "Frog in the Pan: Continuous Information and Momentum," The Review of Financial Studies, Society for Financial Studies, vol. 27(7), pages 2171-2218.
    36. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Erratum to Rejoinder on: Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 504-504.
    37. Nicholas Barberis & Ming Huang & Richard H. Thaler, 2006. "Individual Preferences, Monetary Gambles, and Stock Market Participation: A Case for Narrow Framing," American Economic Review, American Economic Association, vol. 96(4), pages 1069-1090, September.
    38. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    39. Jiang, Hao & Li, Sophia Zhengzi & Wang, Hao, 2021. "Pervasive underreaction: Evidence from high-frequency data," Journal of Financial Economics, Elsevier, vol. 141(2), pages 573-599.
    40. Jegadeesh, Narasimhan, 1990. "Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-898, July.
    41. Levy, Haim & Levy, Moshe, 2009. "The safety first expected utility model: Experimental evidence and economic implications," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1494-1506, August.
    42. Bali, Turan G. & Demirtas, K. Ozgur & Levy, Haim, 2009. "Is There an Intertemporal Relation between Downside Risk and Expected Returns?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(4), pages 883-909, August.
    43. Ohlson, Ja, 1980. "Financial Ratios And The Probabilistic Prediction Of Bankruptcy," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 109-131.
    44. Cosemans, Mathijs & Frehen, Rik, 2021. "Salience theory and stock prices: Empirical evidence," Journal of Financial Economics, Elsevier, vol. 140(2), pages 460-483.
    45. Huber, Jürgen & Palan, Stefan & Zeisberger, Stefan, 2019. "Does investor risk perception drive asset prices in markets? Experimental evidence," Journal of Banking & Finance, Elsevier, vol. 108(C).
    46. Bali, Turan G. & Brown, Stephen J. & Murray, Scott & Tang, Yi, 2017. "A Lottery-Demand-Based Explanation of the Beta Anomaly," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(6), pages 2369-2397, December.
    47. Kent Daniel & David Hirshleifer & Lin Sun, 2020. "Short- and Long-Horizon Behavioral Factors," Review of Finance, European Finance Association, vol. 33(4), pages 1673-1736.
    48. Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May.
    49. Hansen, Bruce E, 1994. "Autoregressive Conditional Density Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-730, August.
    50. 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.
    51. 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.
    52. Li An, 2016. "Asset Pricing When Traders Sell Extreme Winners and Losers," The Review of Financial Studies, Society for Financial Studies, vol. 29(3), pages 823-861.
    53. repec:bla:jfinan:v:59:y:2004:i:2:p:831-868 is not listed on IDEAS
    54. Alexander Klos & Elke U. Weber & Martin Weber, 2005. "Investment Decisions and Time Horizon: Risk Perception and Risk Behavior in Repeated Gambles," Management Science, INFORMS, vol. 51(12), pages 1777-1790, December.
    55. Price, Kelly & Price, Barbara & Nantell, Timothy J, 1982. "Variance and Lower Partial Moment Measures of Systematic Risk: Some Analytical and Empirical Results," Journal of Finance, American Finance Association, vol. 37(3), pages 843-855, June.
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    More about this item

    Keywords

    Loss probability; Mental accounting; Risk attitudes; Safety-First; Stock returns;
    All these keywords.

    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

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