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Dynamic Choice and Risk Aversion

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  • Liu, Jun

Abstract

This paper explicitly solves a dynamic portfolio choice problem in which an investor allocates his wealth between a riskless and a risky asset. The solution shows that insights gained from studying static portfolio choice problems do not necessarily carry over to dynamic choice settings. For example, even though the risk premium of the risky asset in the problem presented here is strictly positive, holdings of that risky asset might increase with risk aversion. More surprisingly, a risk-averse investor might take a short position in the risky asset. The findings suggest that using stock holdings as a proxy for risk aversion may be inappropriate. Finally, I show that volatility might not prevent a risk averse investor from holding an infinite amount of a risky asset, contrary to Harry Markowitz’s insights on the static portfolio choice

Suggested Citation

  • Liu, Jun, 2001. "Dynamic Choice and Risk Aversion," University of California at Los Angeles, Anderson Graduate School of Management qt36v1d9zg, Anderson Graduate School of Management, UCLA.
    • Handle: RePEc:cdl:anderf:qt36v1d9zg
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    References listed on IDEAS

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    Cited by:

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    2. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    3. Holger Kraft, 2005. "Optimal portfolios and Heston's stochastic volatility model: an explicit solution for power utility," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 303-313.
    4. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
    5. Ang, Andrew & Liu, Jun, 2007. "Risk, return, and dividends," Journal of Financial Economics, Elsevier, vol. 85(1), pages 1-38, July.
    6. Min Dai & Hanqing Jin & Steven Kou & Yuhong Xu, 2021. "A Dynamic Mean-Variance Analysis for Log Returns," Management Science, INFORMS, vol. 67(2), pages 1093-1108, February.
    7. Min Dai & Hanqing Jin & Steven Kou & Yuhong Xu, 2021. "Robo-advising: a dynamic mean-variance approach," Digital Finance, Springer, vol. 3(2), pages 81-97, June.
    8. Jinzhu Li & Rong Wu, 2009. "Optimal investment problem with stochastic interest rate and stochastic volatility: Maximizing a power utility," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(3), pages 407-420, May.

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