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Expected Life-Time Utility and Hedging Demands in a Partially Observable Economy

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  • Frederik Lundtofte

    (Swiss Institute of Banking and Finance, University of St-Gallen)

Abstract

This paper analyzes the expected life-time utility and the hedging demands in an exchange only, representative agent general equilibrium under incomplete information. We derive an expression for the investor’s expected life-time utility, and analyze his hedging demands for intertemporal changes in the unobservable stochastic growth of the endowment process and the changing quality of information regarding these changes. The hedging demands consist of two components, which could work in opposite directions so that a conservative consumer may end up having positive hedging demands. Our results are qualitatively different from those within constant growth equilibria.

Suggested Citation

  • Frederik Lundtofte, 2006. "Expected Life-Time Utility and Hedging Demands in a Partially Observable Economy," Swiss Finance Institute Research Paper Series 06-23, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp0623
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    File URL: http://papers.ssrn.com/sol3/papers.cfm?abstract_id=942189
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    Cited by:

    1. Hening Liu, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Post-Print hal-00781344, HAL.
    2. Frederik Lundtofte, 2013. "The quality of public information and the term structure of interest rates," Review of Quantitative Finance and Accounting, Springer, vol. 40(4), pages 715-740, May.
    3. Luo, Yulei, 2015. "Robustly Strategic Consumption-Portfolio Rules with Informational Frictions," MPRA Paper 64312, University Library of Munich, Germany.
    4. Luo, Yulei, 2014. "Strategic Consumption-Portfolio Rules and Precautionary Savings with Informational Frictions," MPRA Paper 58077, University Library of Munich, Germany.
    5. Palczewski, Jan & Poulsen, Rolf & Schenk-Hoppé, Klaus Reiner & Wang, Huamao, 2015. "Dynamic portfolio optimization with transaction costs and state-dependent drift," European Journal of Operational Research, Elsevier, vol. 243(3), pages 921-931.
    6. Yulei Luo, 2017. "Robustly Strategic Consumption–Portfolio Rules with Informational Frictions," Management Science, INFORMS, vol. 63(12), pages 4158-4174, December.
    7. Altantsetseg Batchuluun & Yulei Luo & Eric R. Young, 2019. "Portfolio Choice with Information-Processing Limits," Annals of Economics and Finance, Society for AEF, vol. 20(1), pages 137-162, May.
    8. David Feldman, 2007. "Incomplete information equilibria: Separation theorems and other myths," Annals of Operations Research, Springer, vol. 151(1), pages 119-149, April.
    9. Haijun Wang & L. Steven Hou, 2015. "Robust Consumption and Portfolio Choice with Habit Formation, the Spirit of Capitalism and Recursive Utility," Annals of Economics and Finance, Society for AEF, vol. 16(2), pages 393-416, November.
    10. Gau, Yin-Feng & Hua, Mingshu & Wu, Wen-Lin, 2010. "International asset allocation for incompletely-informed investors," Journal of Financial Markets, Elsevier, vol. 13(4), pages 422-447, November.
    11. Liu, Hening, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 623-640, April.

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    More about this item

    Keywords

    learning; incomplete information; equilibrium; hedging demands;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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