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

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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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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  1. Lars Peter Hansen & Thomas J. Sargent, 1981. "Instrumental variables procedures for estimating linear rational expectations models," Staff Report 70, Federal Reserve Bank of Minneapolis.
  2. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
  3. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
  4. Brennan, Michael J. & Xia, Yihong, 1999. "Assessing Assets Pricing Anomalies," University of California at Los Angeles, Anderson Graduate School of Management qt3jx02532, Anderson Graduate School of Management, UCLA.
  5. 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.
  6. Williams, Joseph T., 1977. "Capital asset prices with heterogeneous beliefs," Journal of Financial Economics, Elsevier, vol. 5(2), pages 219-239, November.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. Marcet, Albert & Sargent, Thomas J, 1989. "Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1306-22, December.
  12. Detemple, Jerome B., 1991. "Further results on asset pricing with incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 425-453, July.
  13. 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.
  14. 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.
  15. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  16. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  17. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September.
  18. 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.
  19. 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.
  20. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  21. 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.
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