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Expected life-time utility and hedging demands in a partially observable economy

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  • Lundtofte, Frederik

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 stochastic unobservable 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 prevailing under constant growth (cf. [Brennan, M.J., 1998. The role of learning in dynamic portfolio decisions. European Finance Review, 1, 295-306; Ziegler, A., 2003. Incomplete Information and Heterogeneous Beliefs in Continuous-Time Finance. Springer, Berlin, Chapter 2].

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  • Lundtofte, Frederik, 2008. "Expected life-time utility and hedging demands in a partially observable economy," European Economic Review, Elsevier, vol. 52(6), pages 1072-1096, August.
    • Handle: RePEc:eee:eecrev:v:52:y:2008:i:6:p:1072-1096
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    Cited by:

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    3. 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.
    4. Hening Liu, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Post-Print hal-00781344, HAL.
    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. 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.
    7. Luo, Yulei, 2014. "Strategic Consumption-Portfolio Rules and Precautionary Savings with Informational Frictions," MPRA Paper 58077, University Library of Munich, Germany.
    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. 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.
    10. Yulei Luo, 2017. "Robustly Strategic Consumption–Portfolio Rules with Informational Frictions," Management Science, INFORMS, vol. 63(12), pages 4158-4174, December.
    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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    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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