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The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions

Author

Listed:
  • Sergio Pulido

    (CMU - Carnegie Mellon University [Pittsburgh])

Abstract

This paper consists of two parts. In the first part we prove the Fundamental Theorem of Asset Pricing under short sales prohibitions in continuous-time financial models where asset prices are driven by nonnegative locally bounded semimartingales. A key step in this proof is an extension of a well-known result of Ansel and Stricker. In the second part we study the hedging problem in these models and connect it to a properly defined property of "maximality" of contingent claims.

Suggested Citation

  • Sergio Pulido, 2014. "The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions," Post-Print hal-02265271, HAL.
    • Handle: RePEc:hal:journl:hal-02265271
    DOI: 10.1214/12-AAP914
    Note: View the original document on HAL open archive server: https://hal.science/hal-02265271
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    Citations

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    Cited by:

    1. Travis Fisher & Sergio Pulido & Johannes Ruf, 2017. "Financial Models with Defaultable Numéraires," Working Papers hal-01240736, HAL.
    2. Delia Coculescu & Monique Jeanblanc, 2019. "Some no-arbitrage rules under short-sales constraints, and applications to converging asset prices," Finance and Stochastics, Springer, vol. 23(2), pages 397-421, April.
    3. Delia Coculescu & Monique Jeanblanc, 2017. "Some No-Arbitrage Rules For Converging Asset Prices under Short-Sales Constraints," Papers 1709.09252, arXiv.org.
    4. Alexander M. G. Cox & Zhaoxu Hou & Jan Obloj, 2014. "Robust pricing and hedging under trading restrictions and the emergence of local martingale models," Papers 1406.0551, arXiv.org, revised Jun 2015.
    5. Delia Coculescu & Aditi Dandapani, 2020. "Insiders and their Free Lunches: the Role of Short Positions," Papers 2012.00359, arXiv.org, revised Jan 2022.
    6. Philippe ARTZNER & Karl-Theodor EISELE & Thorsten SCHMIDT, 2022. "Insurance-Finance Arbitrage," Working Papers of LaRGE Research Center 2022-09, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg.
    7. Travis Fisher & Sergio Pulido & Johannes Ruf, 2015. "Financial Models with Defaultable Num\'eraires," Papers 1511.04314, arXiv.org, revised Oct 2017.
    8. Eckhard Platen & Stefan Tappe, 2020. "Exploiting arbitrage requires short selling," Papers 2011.12523, arXiv.org, revised Sep 2022.

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