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Option pricing in an imperfect world

  • Gianluca Cassese

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage property. We show that prices are coherent if and only if the set of pricing measures is non empty, i.e. if pricing by expectation is possible. We then obtain a decomposition of coherent prices highlighting the role of bubbles. Eventually we show that under very weak conditions the coherent pricing of options allows for a very clear representation from which it is possible, as in the original work of Breeden and Litzenberger, to extract the implied probability. Eventually we test this conclusion empirically via a new non parametric approach.

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File URL: http://dems.unimib.it/repec/pdf/mibwpaper277.pdf
File Function: First version, 2014
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Paper provided by University of Milano-Bicocca, Department of Economics in its series Working Papers with number 277.

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Length: 52
Date of creation: Jun 2014
Date of revision: Jun 2014
Handle: RePEc:mib:wpaper:277
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