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Continuous Equilibrium under Base Preferences and Attainable Initial Endowments

Listed author(s):
  • 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
Handle: RePEc:hum:wpaper:sfb649dp2011-082
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  25. 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.
  26. Santiago Moreno-Bromberg & Luca Taschini, 2011. "Pollution permits, Strategic Trading and Dynamic Technology Adoption," SFB 649 Discussion Papers SFB649DP2011-042, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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  29. Alexandra Fedorets, 2011. "Changes in Occupational Demand Structure and their Impact on Individual Wages," SFB 649 Discussion Papers SFB649DP2011-075, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  30. 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.
  31. Dorothee Schneider, 2011. "Monitoring, Information Technology and the Labor Share," SFB 649 Discussion Papers SFB649DP2011-066, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  32. Alexander Meyer-Gohde, 2011. "Monetary Policy, Determinacy, and the Natural Rate Hypothesis," SFB 649 Discussion Papers SFB649DP2011-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  33. Dirk Hofmann & Salmai Qari, 2011. "The Law of Attraction: Bilateral Search and Horizontal Heterogeneity," SFB 649 Discussion Papers SFB649DP2011-017, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  34. Lu Lin & Feng Li & Lixing Zhu & Wolfgang Karl Härdle, 2011. "Mean Volatility Regressions," SFB 649 Discussion Papers SFB649DP2011-003, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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  41. Nikolaus Hautsch & Ruihong Huang, 2011. "Limit Order Flow, Market Impact and Optimal Order Sizes: Evidence from NASDAQ TotalView-ITCH Data," SFB 649 Discussion Papers SFB649DP2011-056, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  42. Alexandra Fedorets, 2011. "Time-Varying Occupational Contents: An Additional Link between Occupational Task Profiles and Individual Wages," SFB 649 Discussion Papers SFB649DP2011-074, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  43. Juliane Scheffel, 2011. "How do Unusual Working Schedules Affect Social Life?," SFB 649 Discussion Papers SFB649DP2011-025, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  44. Felix Naujokat & Ulrich Horst, 2011. "When to Cross the Spread: Curve Following with Singular Control," SFB 649 Discussion Papers SFB649DP2011-053, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  45. Wolfgang Karl Härdle & Vladimir Spokoiny & Weining Wang, 2011. "Local Quantile Regression," SFB 649 Discussion Papers SFB649DP2011-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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