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

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  • Lundtofte, Frederik

    ()
    (Department of Economics, Lund University)

Abstract

This paper analyzes the expected life-time utility and the hedging demands in a Lucas (1978) economy, in which the dividend drift term is unknown and mean-reverting. An expression for the individual investor’s expected life-time utility in equilibrium is derived, and his hedging demand is analyzed. The hedging demand consists of two components, which could work in opposite directions so that a conservative investor may end up having a positive hedging demand. Interestingly, this differs from the theoretical findings in Brennan (1998), who analyzes the portfolio choice problem of an agent who learns about a constant expected stock return.

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Bibliographic Info

Paper provided by Lund University, Department of Economics in its series Working Papers with number 2005:17.

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Length: 29 pages
Date of creation: 24 Feb 2005
Date of revision:
Publication status: Published in European Economic Review, 2008, pages 1072-1096.
Handle: RePEc:hhs:lunewp:2005_017

Contact details of provider:
Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/en
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Keywords: learning; incomplete information; equilibrium; hedging demands;

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References

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  1. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Dothan, Michael U & Feldman, David, 1986. " Equilibrium Interest Rates and Multiperiod Bonds in a Partially Observable Economy," Journal of Finance, American Finance Association, vol. 41(2), pages 369-82, June.
  3. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  4. Robert Goldstein & Fernando Zapatero, 1996. "General Equilibrium With Constant Relative Risk Aversion And Vasicek Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 331-340.
  5. Hansen, Lars Peter & Sargent, Thomas J., 1982. "Instrumental variables procedures for estimating linear rational expectations models," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 263-296.
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  7. Yihong Xia, 2001. "Learning about Predictability: The Effects of Parameter Uncertainty on Dynamic Asset Allocation," Journal of Finance, American Finance Association, vol. 56(1), pages 205-246, 02.
  8. Brennan, Michael J & Xia, Yihong, 2001. "Assessing Asset Pricing Anomalies," Review of Financial Studies, Society for Financial Studies, vol. 14(4), pages 905-42.
  9. Feldman, David, 1992. "Logarithmic Preferences, Myopic Decisions, and Incomplete Information," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(04), pages 619-629, December.
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  13. Detemple, Jerome B, 1986. " Asset Pricing in a Production Economy with Incomplete Information," Journal of Finance, American Finance Association, vol. 41(2), pages 383-91, June.
  14. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  15. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
  16. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  17. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September.
  18. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
  19. Veronesi, Pietro, 1999. "Stock Market Overreaction to Bad News in Good Times: A Rational Expectations Equilibrium Model," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 975-1007.
  20. Jakša Cvitanić & Ali Lazrak & Lionel Martellini & Fernando Zapatero, 2006. "Dynamic Portfolio Choice with Parameter Uncertainty and the Economic Value of Analysts' Recommendations," Review of Financial Studies, Society for Financial Studies, vol. 19(4), pages 1113-1156.
  21. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
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Cited by:
  1. 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.
  2. 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.

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