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

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  • Sergio Pulido

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, 2010. "The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions," Papers 1012.3102, arXiv.org, revised Jan 2014.
  • Handle: RePEc:arx:papers:1012.3102
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    File URL: http://arxiv.org/pdf/1012.3102
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    References listed on IDEAS

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    1. Napp, C., 2003. "The Dalang-Morton-Willinger theorem under cone constraints," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 111-126, February.
    2. Robert A. Jarrow, 2015. "Asset Price Bubbles," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 201-218, December.
    3. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151.
    4. Robert Jarrow & Philip Protter & Sergio Pulido, 2015. "The Effect Of Trading Futures On Short Sale Constraints," Mathematical Finance, Wiley Blackwell, vol. 25(2), pages 311-338, April.
    5. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short-Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232.
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    Cited by:

    1. Alexander M. G. Cox & Zhaoxu Hou & Jan Obłój, 2016. "Robust pricing and hedging under trading restrictions and the emergence of local martingale models," Finance and Stochastics, Springer, vol. 20(3), pages 669-704, July.
    2. Travis Fisher & Sergio Pulido & Johannes Ruf, 2017. "Financial Models with Defaultable Numéraires," Working Papers hal-01240736, HAL.
    3. Travis Fisher & Sergio Pulido & Johannes Ruf, 2015. "Financial Models with Defaultable Num\'eraires," Papers 1511.04314, arXiv.org, revised Oct 2017.
    4. Delia Coculescu & Monique Jeanblanc, 2017. "Some No-Arbitrage Rules For Converging Asset Prices under Short-Sales Constraints," Papers 1709.09252, arXiv.org.

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