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On Viable Diffusion Price Processes of the Market Portfolio

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Author Info
 Bick, Avi
Abstract

The assumption that the market portfolio follows a specified diffusion process implies, in a simple equilibrium framework, that the representative individual must have a certain utility function that is identified in the paper. Not every diffusion process is viable, i.e., can be "endogenized" to be the market portfolio's price process in such an equilibrium model. The paper provides necessary and sufficient conditions for viability that imply that viable diffusion processes constitute a rather restricted family. Copyright 1990 by American Finance Association.

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Article provided by American Finance Association in its journal Journal of Finance.

Volume (Year): 45 (1990)
Issue (Month): 2 (June)
Pages: 673-89
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Handle: RePEc:bla:jfinan:v:45:y:1990:i:2:p:673-89

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  1. Guidolin, Massimo & Timmermann, Allan G, 2001. "Option Prices under Bayesian Learning: Implied Volatility Dynamics and Predictive Densities," CEPR Discussion Papers 3005, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Laurent E. Calvet & Adlai J. Fisher, 2006. "Multifrequency Jump-Diffusions: An Equilibrium Approach," NBER Working Papers 12797, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Elyès Jouini & Clotilde Napp, 2002. "Arbitrage pricing and equilibrium pricing : compatibility conditions," Post-Print halshs-00176423_v1, HAL. [Downloadable!]
  4. Lüders, Erik & Schröder, Michael, 2004. "Modeling Asset Returns : A Comparison of Theoretical and Empirical Models," ZEW Discussion Papers 04-19, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
  5. Günter Franke & Erik Lüders, 2004. "Why Do Asset Prices Not Follow Random Walks?," CoFE Discussion Paper 04-05, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  6. Lüders, Erik, 2002. "Why Are Asset Returns Predictable?," ZEW Discussion Papers 02-48, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
  7. Günter Franke & Erik Lüders, 2005. "Return Predictability and Stock Market Crashes in a Simple Rational Expectations Model," CoFE Discussion Paper 05-05, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
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  8. Yacine Ait-Sahalia & Andrew W. Lo, 1995. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," NBER Working Papers 5351, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Ali Lazrak & Fernando Zapatero, 2002. "Efficient Consumption Set Under Recursive Utility and Unknown Beliefs," Research Paper Series 85, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  10. Lüders, Erik, 2002. "Asset Prices and Alternative Characterizations of the Pricing Kernel," ZEW Discussion Papers 02-10, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
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