Two-Fund Separation in Dynamic General Equilibrium
AbstractThe purpose of this paper is to examine 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. In addition to a se- curity 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. Agents have equi-cautious HARA utility functions. If the riskless security in the economy is a consol then agents' portfolios exhibit two-fund separation. But if agents can trade only a one-period bond, this result no longer holds. Examples show this effect to be quantitatively signifcant. The underly- ing intuition is that general equilibrium restrictions lead to interest rate °uctuations 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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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1398.
Date of creation: Jan 2005
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Other versions of this item:
- Schmedders, Karl, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
- Karl Schmedders, 2005. "Two-Fund Separation in Dynamic General Equilibrium," 2005 Meeting Papers 148, Society for Economic Dynamics.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-04-09 (All new papers)
- NEP-DGE-2007-04-09 (Dynamic General Equilibrium)
- NEP-UPT-2007-04-09 (Utility Models & Prospect Theory)
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