Exchangeability type properties of asset prices

Economy – Quantitative Finance – Pricing of Securities

Scientific paper

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The final version of the paper "Semi-static hedging under exchangeability type conditions". To appear in Advances in Applied

Scientific paper

In this paper we analyse financial implications of exchangeability and similar properties of finite dimensional random vectors. We show how these properties are reflected in prices of some basket options in view of the well-known put-call symmetry property and the duality principle in option pricing. A particular attention is devoted to the case of asset prices driven by Levy processes. Based on this, concrete semi-static hedging techniques for multi-asset barrier options, such as certain weighted barrier spread options, weighted barrier swap options or weighted barrier quanto-swap options are suggested.

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