Arbitrage and Hedging in a non probabilistic framework

Alexander Alvarez, Sebastian Ferrando and Pablo Olivares
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Alexander Alvarez: Ryerson University, Toronto
Sebastian Ferrando: Ryerson University, Toronto
Pablo Olivares: Ryerson University, Toronto

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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.

Date: 2011-03
New Economics Papers: this item is included in nep-rmg
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1103.1006

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