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The capital asset pricing model as a general equilibrium with incomplete markets
Authors:John Geanakoplos and Martin Shubik
Abstract:We recast the capital asset pricing model (CAPM) in the broader context of general equilibrium with incomplete markets (GEI). In this setting we give proofs of three properties of CAPM equilibria: they are efficient, asset prices lie on a ldquosecurity market linerdquo, and all agents hold the same two mutual funds. The first property requires a riskless asset, the latter two do not. We show that across all GEI only one of these three properties of equilibrium is generally valid: asset prices depend on covariances, not variances. We extend CAPM to many consumption goods in such a way that all three properties hold. But now the definition of a riskless asset depends on preferences and endowments, and so cannot be specifieda priori.We wish to acknowledge assistance of NSF Grant No. 88-12051, and a referee's comments. We are grateful for conversations with H. Polemarchakis, especially concerning Section II.4.
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