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Continuous Equilibrium under Base Preferences and Attainable Initial Endowments

  • Ulrich Horst
  • Michael Kupper
  • Andrea Macrina
  • Christoph Mainberger

We consider a full equilibrium model in continuous time comprising a finite number of agents and tradable securities.We show that, if the agents’ endowments are spanned by the securities and if the agents have entropic utilities, an equilibrium exists and the agents’ optimal trading strategies are constant. Affine processes, and the theory of information-based asset pricing are used to model the endogenous asset price dynamics and the terminal payoff. Semi-explicit pricing formulae are obtained and applied to numerically analyze the impact of the agents’ risk aversion on the implied volatility of simultaneously-traded European-style options.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2011-082.pdf
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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2011-082.

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Length: 31 pages
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2011-082
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  8. Dorothee Schneider, 2011. "The Labor Share: A Review of Theory and Evidence," SFB 649 Discussion Papers SFB649DP2011-069, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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  19. Enno Mammen & Christoph Rothe & Melanie Schienle, 2011. "Semiparametric Estimation with Generated Covariates," SFB 649 Discussion Papers SFB649DP2011-064, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  20. Dietmar Fehr & Frank Heinemann & Aniol Llorente-Saguer, 2013. "The power of sunspots: an experimental analysis," Working Papers 13-2, Federal Reserve Bank of Boston.
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  23. Fiocco, Raffaele & Gilli, Mario, 2014. "Bargaining and collusion in a regulatory relationship," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 466, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  24. Alexander Meyer-Gohde, 2011. "Sticky Information and Determinacy," SFB 649 Discussion Papers SFB649DP2011-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  25. Wolfgang Karl Härdle & Vladimir Spokoiny & Weining Wang, 2011. "Local Quantile Regression," SFB 649 Discussion Papers SFB649DP2011-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  26. Nikolaus Hautsch & Lada M. Kyj & Peter Malec, 2011. "The Merit of High-Frequency Data in Portfolio Allocation," SFB 649 Discussion Papers SFB649DP2011-059, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  27. Dorothee Schneider, 2011. "Monitoring, Information Technology and the Labor Share," SFB 649 Discussion Papers SFB649DP2011-066, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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  31. Heike Belitz & Marius Clemens & Christian von Hirschhausen & Jens Schmidt-Ehmcke & Axel Werwatz & Petra Zloczysti, 2011. "An Indicator for National Systems of Innovation: Methodology and Application to 17 Industrialized Countries," Discussion Papers of DIW Berlin 1129, DIW Berlin, German Institute for Economic Research.
  32. Akdeniz Duran, Esra & Härdle, Wolfgang Karl & Osipenko, Maria, 2012. "Difference based ridge and Liu type estimators in semiparametric regression models," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 164-175.
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  35. Shuzhuan Zheng & Lijian Yang & Wolfgang Karl Härdle, 2011. "A Confidence Corridor for Sparse Longitudinal Data Curves," SFB 649 Discussion Papers SFB649DP2011-002, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  36. Weining Wang & Ihtiyor Bobojonov & Wolfgang Karl Härdle & Martin Odening, 2011. "Increasing Weather Risk: Fact or Fiction?," SFB 649 Discussion Papers SFB649DP2011-077, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  37. Wolfgang Karl Härdle & Brenda López Cabrera & Ostap Okhrin & Weining Wang, 2011. "Localising temperature risk," SFB 649 Discussion Papers SFB649DP2011-001, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  38. Sigbert Klinke, 2011. "Developing web-based tools for the teaching of statistics: Our Wikis and the German Wikipedia," SFB 649 Discussion Papers SFB649DP2011-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  39. Juliane Scheffel, 2011. "Identifying the Effect of Temporal Work Flexibility on Parental Time with Children," SFB 649 Discussion Papers SFB649DP2011-024, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  40. Raffaele Fiocco & Mario Gilli, 2011. "Bargaining and Collusion in a Regulatory Model," SFB 649 Discussion Papers SFB649DP2011-047, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  41. Elmar Diederichs & Anatoli Juditsky & Arkadi Nemirovski & Vladimir Spokoiny, 2011. "Sparse Non Gaussian Component Analysis by Semidefinite Programming," SFB 649 Discussion Papers SFB649DP2011-080, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  42. Stephan Stahlschmidt & Helmut Tausendteufel & Wolfgang K. Härdle, 2011. "Bayesian Networks and Sex-related Homicides," SFB 649 Discussion Papers SFB649DP2011-045, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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