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Dynamic General Equilibrium and T-Period Fund Separation

Author

Listed:
  • Gerber, Anke

    () (Institute for Empirical Research in Economics, University of Zurich)

  • Hens, Thorsten

    () (Institute for Empirical Research in Economics, University of Zurich)

  • Woehrmann, Peter

    () (Institute for Empirical Research in Economics, University of Zurich)

Abstract

We consider a dynamic general equilibrium model with incomplete markets in which we derive conditions for separating the savings decision from the asset allocation decision. It is shown that with logarithmic utility functions this separation holds for any heterogeneity of discount factors while the generalization to constant relative risk aversion only holds for homogeneous discount factors. Our results have simple asset pricing implications for the time series and also the cross section of asset prices. It is found that on data from the DJIA a risk aversion weaker than in the logarithmic case fits best.

Suggested Citation

  • Gerber, Anke & Hens, Thorsten & Woehrmann, Peter, 2005. "Dynamic General Equilibrium and T-Period Fund Separation," Discussion Papers 2005/16, Norwegian School of Economics, Department of Business and Management Science.
  • Handle: RePEc:hhs:nhhfms:2005_016
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    File URL: http://hdl.handle.net/11250/164160
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    3. Igor Evstigneev & Thorsten Hens & Klaus Schenk-Hoppé, 2006. "Evolutionary stable stock markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 449-468, January.
    4. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    5. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," Review of Economic Studies, Oxford University Press, vol. 25(2), pages 65-86.
    6. Dempster, M. A. H. & Germano, M. & Medova, E. A. & Villaverde, M., 2003. "Global Asset Liability Management," British Actuarial Journal, Cambridge University Press, vol. 9(01), pages 137-195, April.
    7. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics,in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
    8. Rubinstein, Mark, 1976. "The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets," Journal of Finance, American Finance Association, vol. 31(2), pages 551-571, May.
    9. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    10. JÊrÆme B. Detemple & Piero Gottardi, 1998. "Aggregation, efficiency and mutual fund separation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 443-455.
    11. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," Review of Economic Studies, Oxford University Press, vol. 61(1), pages 3-17.
    12. Kraus, Alan & Litzenberger, Robert H, 1975. "Market Equilibrium in a Multiperiod State Preference Model with Logarithmic Utility," Journal of Finance, American Finance Association, vol. 30(5), pages 1213-1227, December.
    13. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    14. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    15. Hakansson, Nils H, 1970. "Optimal Investment and Consumption Strategies Under Risk for a Class of Utility Functions," Econometrica, Econometric Society, vol. 38(5), pages 587-607, September.
    16. Russell, Thomas, 1980. "Portfolio separation : The analytic case," Economics Letters, Elsevier, vol. 6(1), pages 59-66.
    17. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
    18. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
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    More about this item

    Keywords

    Dynamic general equilibrium model; asset pricing;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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