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Two-fund separation in dynamic general equilibrium

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    (Kellogg School of Management)

Abstract

This paper examines the two-fund separation paradigm in the context of an infinite-horizon general equilibrium model with dynamically complete markets and heterogeneous consumers with time- and state-separable utility functions. With the exception of the dynamic structure, we maintain the assumptions of the classical static models that exhibit two-fund separation with a riskless security. Agents have equi-cautious HARA utility functions. In addition to a security with state-independent payoffs, agents can trade a collection of assets with dividends following a time-homogeneous Markov process. We make no further assumptions about the distribution of asset dividends, returns, or prices. If the riskless security in the economy is a consol then agents' portfolios exhibit two-fund separation. However, if agents can trade only a one-period bond, this result no longer holds. The underlying intuition is that general equilibrium restrictions lead to interest rate fluctuations that destroy the optimality of two-fund separation in economies with a one-period bond and result in different equilibrium portfolios.

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  • ,, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
    • Handle: RePEc:the:publsh:320
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Peter Bossaerts & Charles Plott & William R. Zame, 2005. "Prices and Portfolio Choices in Financial Markets: Theory and Experiments," UCLA Economics Working Papers 840, UCLA Department of Economics.
    3. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 10, pages 309-356, World Scientific Publishing Co. Pte. Ltd..
    4. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    5. Amershi, Amin H & Stoeckenius, Jan H W, 1983. "The Theory of Syndicates and Linear Sharing Rules," Econometrica, Econometric Society, vol. 51(5), pages 1407-1416, September.
    6. Citanna, A. & Polemarchakis, H.M. & Tirelli, M., 2006. "The taxation of trades in assets," Journal of Economic Theory, Elsevier, vol. 126(1), pages 299-313, January.
    7. Kenneth L. Judd & Felix Kubler & Karl Schmedders, 2003. "Asset Trading Volume with Dynamically Complete Markets and Heterogeneous Agents," Journal of Finance, American Finance Association, vol. 58(5), pages 2203-2217, October.
    8. repec:bla:jfinan:v:58:y:2003:i:5:p:2203-2218 is not listed on IDEAS
    9. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 467-494.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    11. Michael J. Brennan & Yihong Xia, 2000. "Stochastic Interest Rates and the Bond-Stock Mix," Review of Finance, European Finance Association, vol. 4(2), pages 197-210.
    12. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    13. Russell, Thomas, 1980. "Portfolio separation : The analytic case," Economics Letters, Elsevier, vol. 6(1), pages 59-66.
    14. 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.
    15. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
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    Cited by:

    1. Anufriev, Mikhail & Bottazzi, Giulio & Marsili, Matteo & Pin, Paolo, 2012. "Excess covariance and dynamic instability in a multi-asset model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1142-1161.
    2. Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous‐Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405, September.
    3. Won, Dong Chul, 2018. "One-fund separation in incomplete markets with two assets," Finance Research Letters, Elsevier, vol. 24(C), pages 168-174.

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    More about this item

    Keywords

    Portfolio separation; dynamically complete markets; consol; one-period bond; interest rate fluctuation; reinvestment risk;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • 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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