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Continuous Equilibrium in Affine and Information-Based Capital Asset Pricing Models

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

Abstract

We consider a class of generalized capital asset pricing models in continuous time with a finite number of agents and tradable securities. The securities may not be sufficient to span all sources of uncertainty. If the agents have exponential utility functions and the individual endowments are spanned by the securities, 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. The derived semi-explicit pricing formulae are applied to numerically analyze the impact of the agents' risk aversion on the implied volatility of simultaneously-traded European-style options.

Suggested Citation

  • Ulrich Horst & Michael Kupper & Andrea Macrina & Christoph Mainberger, 2012. "Continuous Equilibrium in Affine and Information-Based Capital Asset Pricing Models," Papers 1201.1840, arXiv.org, revised Oct 2012.
    • Handle: RePEc:arx:papers:1201.1840
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    References listed on IDEAS

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    1. Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 4, pages 97-127, World Scientific Publishing Co. Pte. Ltd..
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    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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