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Probability weighting and equity premium prediction: Investing with optimism

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  • Mehran Azimi
  • Soroush Ghazi
  • Mark Schneider

Abstract

Empirically motivated theoretical models of probability weighting which overweight tail events are finding many applications in finance. However, probability weighting has not yet been applied to equity premium prediction or to constructing optimal market timing investment strategies. We show that a measure of market optimism from a representative agent asset pricing model with probability weighting can be used to construct optimal dynamic investment strategies that outperform the buy‐and‐hold strategy and strategies generated by 17 leading equity premium predictors. We further show that this theory‐based measure of market optimism predicts the equity premium and market Sharpe ratio in‐sample and out‐of‐sample. The predictability is not subsumed by disaster probabilities, market sentiment, or market skewness. Our results indicate that our theory‐based measure provides a distinct channel for predicting aggregate stock returns.

Suggested Citation

  • Mehran Azimi & Soroush Ghazi & Mark Schneider, 2025. "Probability weighting and equity premium prediction: Investing with optimism," Financial Management, Financial Management Association International, vol. 54(3), pages 455-491, September.
    • Handle: RePEc:bla:finmgt:v:54:y:2025:i:3:p:455-491
    DOI: 10.1111/fima.12477
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    References listed on IDEAS

    as
    1. Chen, Andrew Y. & Velikov, Mihail, 2023. "Zeroing In on the Expected Returns of Anomalies," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 58(3), pages 968-1004, May.
    2. De Giorgi, Enrico G. & Legg, Shane, 2012. "Dynamic portfolio choice and asset pricing with narrow framing and probability weighting," Journal of Economic Dynamics and Control, Elsevier, vol. 36(7), pages 951-972.
    3. Filippopoulou, Chryssanthi & Galariotis, Emilios & Spyrou, Spyros, 2020. "An early warning system for predicting systemic banking crises in the Eurozone: A logit regression approach," Journal of Economic Behavior & Organization, Elsevier, vol. 172(C), pages 344-363.
    4. Kai Li & Chenjie Xu, 2023. "Asset pricing with a financial sector," Financial Management, Financial Management Association International, vol. 52(1), pages 67-95, March.
    5. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    6. John Y. Campbell & Samuel B. Thompson, 2008. "Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average?," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1509-1531, July.
    7. Christopher S. Jones & Selale Tuzel, 2013. "New Orders and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 26(1), pages 115-157.
    8. Ian Martin, 2017. "What is the Expected Return on the Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 367-433.
    9. Pollet, Joshua M. & Wilson, Mungo, 2010. "Average correlation and stock market returns," Journal of Financial Economics, Elsevier, vol. 96(3), pages 364-380, June.
    10. 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.
    11. Tim Bollerslev & George Tauchen & Hao Zhou, 2009. "Expected Stock Returns and Variance Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4463-4492, November.
    12. Dashan Huang & Fuwei Jiang & Jun Tu & Guofu Zhou, 2015. "Investor Sentiment Aligned: A Powerful Predictor of Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 791-837.
    13. Seda Oz & Steve Fortin, 2023. "Is it time for popcorn? Daily box office earnings and aggregate stock returns," Financial Management, Financial Management Association International, vol. 52(2), pages 375-401, June.
    14. Barro, Robert J. & Liao, Gordon Y., 2021. "Rare disaster probability and options pricing," Journal of Financial Economics, Elsevier, vol. 139(3), pages 750-769.
    15. Polkovnichenko, Valery & Zhao, Feng, 2013. "Probability weighting functions implied in options prices," Journal of Financial Economics, Elsevier, vol. 107(3), pages 580-609.
    16. Driesprong, Gerben & Jacobsen, Ben & Maat, Benjamin, 2008. "Striking oil: Another puzzle?," Journal of Financial Economics, Elsevier, vol. 89(2), pages 307-327, August.
    17. Huang, Darien & Kilic, Mete, 2019. "Gold, platinum, and expected stock returns," Journal of Financial Economics, Elsevier, vol. 132(3), pages 50-75.
    18. Barroso, Pedro & Detzel, Andrew, 2021. "Do limits to arbitrage explain the benefits of volatility-managed portfolios?," Journal of Financial Economics, Elsevier, vol. 140(3), pages 744-767.
    19. Rapach, David E. & Ringgenberg, Matthew C. & Zhou, Guofu, 2016. "Short interest and aggregate stock returns," Journal of Financial Economics, Elsevier, vol. 121(1), pages 46-65.
    20. Clifford S. Asness & Andrea Frazzini & Lasse H. Pedersen, 2012. "Leverage Aversion and Risk Parity," Financial Analysts Journal, Taylor & Francis Journals, vol. 68(1), pages 47-59, January.
    21. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
    22. Jondeau, Eric & Zhang, Qunzi & Zhu, Xiaoneng, 2019. "Average skewness matters," Journal of Financial Economics, Elsevier, vol. 134(1), pages 29-47.
    23. Hao Zhou, 2018. "Variance Risk Premia, Asset Predictability Puzzles, and Macroeconomic Uncertainty," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 481-497, November.
    24. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    25. Amit Goyal & Ivo Welch & Athanasse Zafirov, 2024. "A Comprehensive 2022 Look at the Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 37(11), pages 3490-3557.
    26. Stephen G Dimmock & Roy Kouwenberg & Olivia S Mitchell & Kim Peijnenburg, 2021. "Household Portfolio Underdiversification and Probability Weighting: Evidence from the Field," The Review of Financial Studies, Society for Financial Studies, vol. 34(9), pages 4524-4563.
    27. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    28. 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.
    29. Kurov, Alexander, 2010. "Investor sentiment and the stock market's reaction to monetary policy," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 139-149, January.
    30. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    31. Geert Bekaert & Eric C. Engstrom & Nancy R. Xu, 2022. "The Time Variation in Risk Appetite and Uncertainty," Management Science, INFORMS, vol. 68(6), pages 3975-4004, June.
    32. 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.
    33. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    34. Lieven Baele & Joost Driessen & Sebastian Ebert & Juan M Londono & Oliver G Spalt, 2019. "Cumulative Prospect Theory, Option Returns, and the Variance Premium," The Review of Financial Studies, Society for Financial Studies, vol. 32(9), pages 3667-3723.
    35. Dichtl, Hubert & Drobetz, Wolfgang & Otto, Tizian, 2023. "Forecasting Stock Market Crashes via Machine Learning," Journal of Financial Stability, Elsevier, vol. 65(C).
    36. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    37. Sun, Yuzhe & Zhang, Shunming, 2023. "Heterogeneity of probability weighting in investment decisions," Economics Letters, Elsevier, vol. 228(C).
    38. 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.
    39. Gao, Yang & Leung, Henry & Satchell, Stephen, 2022. "Partial moment momentum," Journal of Banking & Finance, Elsevier, vol. 135(C).
    40. Bekaert, Geert & Hoerova, Marie, 2014. "The VIX, the variance premium and stock market volatility," Journal of Econometrics, Elsevier, vol. 183(2), pages 181-192.
    41. Zhibing Li & Jie Liu & Xiaoyu Liu & Chonglin Wu, 2024. "Investor attention and stock price efficiency: Evidence from quasi‐natural experiments in China," Financial Management, Financial Management Association International, vol. 53(1), pages 175-225, March.
    42. Chen, Yong & Eaton, Gregory W. & Paye, Bradley S., 2018. "Micro(structure) before macro? The predictive power of aggregate illiquidity for stock returns and economic activity," Journal of Financial Economics, Elsevier, vol. 130(1), pages 48-73.
    43. Stambaugh, Robert F. & Yu, Jianfeng & Yuan, Yu, 2012. "The short of it: Investor sentiment and anomalies," Journal of Financial Economics, Elsevier, vol. 104(2), pages 288-302.
    44. Zhiting Wu, 2024. "The sensitivity of risk premiums to the elasticity of intertemporal substitution," Financial Management, Financial Management Association International, vol. 53(2), pages 353-390, June.
    45. Lorenzo Ductor & Marcel Fafchamps & Sanjeev Goyal & Marco J. van der Leij, 2014. "Social Networks and Research Output," The Review of Economics and Statistics, MIT Press, vol. 96(5), pages 936-948, December.
    46. Maik Dierkes & Jan Krupski & Sebastian Schroen & Philipp Sibbertsen, 2024. "Volatility-dependent probability weighting and the dynamics of the pricing kernel puzzle," Review of Derivatives Research, Springer, vol. 27(1), pages 1-35, April.
    47. Bryan Kelly & Semyon Malamud & Kangying Zhou, 2024. "The Virtue of Complexity in Return Prediction," Journal of Finance, American Finance Association, vol. 79(1), pages 459-503, February.
    48. Scott Cederburg & Travis L Johnson & Michael S O’Doherty, 2023. "On the Economic Significance of Stock Return Predictability," Review of Finance, European Finance Association, vol. 27(2), pages 619-657.
    49. Ai He & Guofu Zhou, 2023. "Diagnostics for asset pricing models," Financial Management, Financial Management Association International, vol. 52(4), pages 617-642, December.
    50. Junjun Ma & Xindan Li & Lei Lu & Weixing Wu & Xiong Xiong, 2022. "Individual investors' dispersion in beliefs and stock returns," Financial Management, Financial Management Association International, vol. 51(3), pages 929-953, September.
    51. Chen, Long & Zhang, Lu, 2011. "Do time-varying risk premiums explain labor market performance?," Journal of Financial Economics, Elsevier, vol. 99(2), pages 385-399, February.
    52. Wang, Junbo & Wu, Chunchi & Zhong, Xiaoling, 2021. "Prospect theory and stock returns: Evidence from foreign share markets," Pacific-Basin Finance Journal, Elsevier, vol. 69(C).
    53. Dierkes, Maik & Krupski, Jan & Schroen, Sebastian, 2022. "Option-implied lottery demand and IPO returns," Journal of Economic Dynamics and Control, Elsevier, vol. 138(C).
    54. Li, Jun & Yu, Jianfeng, 2012. "Investor attention, psychological anchors, and stock return predictability," Journal of Financial Economics, Elsevier, vol. 104(2), pages 401-419.
    55. Clark, Todd E. & West, Kenneth D., 2007. "Approximately normal tests for equal predictive accuracy in nested models," Journal of Econometrics, Elsevier, vol. 138(1), pages 291-311, May.
    56. Nicholas Barberis & Lawrence J. Jin & Baolian Wang, 2021. "Prospect Theory and Stock Market Anomalies," Journal of Finance, American Finance Association, vol. 76(5), pages 2639-2687, October.
    57. 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.
    58. Yun Shi & Xiangyu Cui & Xun Yu Zhou, 2023. "Beta and Coskewness Pricing: Perspective from Probability Weighting," Operations Research, INFORMS, vol. 71(2), pages 776-790, March.
    59. Alan Moreira & Tyler Muir, 2017. "Volatility-Managed Portfolios," Journal of Finance, American Finance Association, vol. 72(4), pages 1611-1644, August.
    60. Gene Birz & Sandip Dutta & Han Yu, 2022. "Economic forecasts, anchoring bias, and stock returns," Financial Management, Financial Management Association International, vol. 51(1), pages 169-191, March.
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