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On the fundamental theorem of asset pricing: random constraints and bang-bang no-arbitrage criteria

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  • Evstigneev, Igor V.
  • Schürger, Klaus
  • Taksar, Michael I.

Abstract

The paper generalizes and refines the Fundamental Theorem of Asset Pricing of Dalang, Morton and Willinger in the following two respects: (a) the result is extended to a model with portfolio constraints; (b) versions of the no-arbitrage criterion based on the bang-bang principle in control theory are developed.

Suggested Citation

  • Evstigneev, Igor V. & Schürger, Klaus & Taksar, Michael I., 2002. "On the fundamental theorem of asset pricing: random constraints and bang-bang no-arbitrage criteria," Bonn Econ Discussion Papers 24/2002, University of Bonn, Bonn Graduate School of Economics (BGSE).
    • Handle: RePEc:zbw:bonedp:242002
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    no arbitrage criteria; portfolio constraints; supermartingale measures; bang-bang control;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General

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