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Arbitrage and Hedging in a non probabilistic framework

Author

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  • Alexander Alvarez

    (Ryerson University, Toronto)

  • Sebastian Ferrando

    (Ryerson University, Toronto)

  • Pablo Olivares

    (Ryerson University, Toronto)

Abstract

The paper studies the concepts of hedging and arbitrage in a non probabilistic framework. It provides conditions for non probabilistic arbitrage based on the topological structure of the trajectory space and makes connections with the usual notion of arbitrage. Several examples illustrate the non probabilistic arbitrage as well perfect replication of options under continuous and discontinuous trajectories, the results can then be applied in probabilistic models path by path. The approach is related to recent financial models that go beyond semimartingales, we remark on some of these connections and provide applications of our results to some of these models.

Suggested Citation

  • Alexander Alvarez & Sebastian Ferrando & Pablo Olivares, 2011. "Arbitrage and Hedging in a non probabilistic framework," Papers 1103.1006, arXiv.org.
  • Handle: RePEc:arx:papers:1103.1006
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    File URL: http://arxiv.org/pdf/1103.1006
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    References listed on IDEAS

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    1. Christian Bender & Tommi Sottinen & Esko Valkeila, 2008. "Pricing by hedging and no-arbitrage beyond semimartingales," Finance and Stochastics, Springer, vol. 12(4), pages 441-468, October.
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