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Information, Expected Utility, and Portfolio Choice

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  • Liu, Jun
  • Peleg, Ehud
  • Subrahmanyam, Avanidhar

Abstract

We study the consumption-investment problem of an agent with a constant relative risk aversion preference function, who possesses noisy information about the future prospects of a stock. We also solve for the value of information to the agent in closed form. We find that information can significantly alter consumption and asset allocation decisions. For reasonable parameter ranges, information increases consumption in the vicinity of 25%. Information can shift the portfolio weight on a stock from 0% to around 70%. Thus, depending on the stock beta, the weight on the market portfolio can be considerably reduced with information, causing the appearance of underdiversification. The model indicates that stock holdings of informed agents are positively related to wealth, unrelated to systematic risk, and negatively related to idiosyncratic uncertainty. We also show that the dollar value of information to the agent depends linearly on his wealth and decreases with both the propensity to intermediate consumption and risk aversion.

Suggested Citation

  • Liu, Jun & Peleg, Ehud & Subrahmanyam, Avanidhar, 2010. "Information, Expected Utility, and Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(5), pages 1221-1251, October.
    • Handle: RePEc:cup:jfinqa:v:45:y:2010:i:05:p:1221-1251_00
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    Citations

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    Cited by:

    1. Huy N. Chau & Andrea Cosso & Claudio Fontana, 2020. "The value of informational arbitrage," Finance and Stochastics, Springer, vol. 24(2), pages 277-307, April.
    2. Lioui, Abraham, 2013. "Time consistent vs. time inconsistent dynamic asset allocation: Some utility cost calculations for mean variance preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 1066-1096.
    3. Branger, Nicole & Kraft, Holger & Meinerding, Christoph, 2014. "Partial information about contagion risk, self-exciting processes and portfolio optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 18-36.
    4. Guo, Ming & Ou-Yang, Hui, 2021. "Alpha decay and Sharpe ratio: Two measures of investor performance," Economic Modelling, Elsevier, vol. 104(C).
    5. Huy N. Chau & Andrea Cosso & Claudio Fontana, 2018. "The value of informational arbitrage," Papers 1804.00442, arXiv.org.
    6. Sastry, Ravi & Thompson, Rex, 2019. "Strategic trading with risk aversion and information flow," Journal of Financial Markets, Elsevier, vol. 44(C), pages 1-16.
    7. Peng, Xingchun & Chen, Fenge & Wang, Wenyuan, 2021. "Robust optimal investment and reinsurance for an insurer with inside information," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 15-30.
    8. Daniel Andrei & Michael Hasler, 2020. "Dynamic Attention Behavior Under Return Predictability," Management Science, INFORMS, vol. 66(7), pages 2906-2928, July.

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