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Multidimensional Breeden-Litzenberger representation for state price densities and static hedging

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  • Jarno Talponen
  • Lauri Viitasaari

Abstract

In this article, we consider European options of type $h(X^1_T, X^2_T,\ldots, X^n_T)$ depending on several underlying assets. We study how such options can be valued in terms of simple vanilla options in non-specified market models. We consider different approaches related to static hedging and derive several pricing formulas for a wide class of payoff functions $h:\R_+^n\rightarrow \R$. We also give new relations between prices of different options both in one dimensional and multidimensional case.

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  • Jarno Talponen & Lauri Viitasaari, 2014. "Multidimensional Breeden-Litzenberger representation for state price densities and static hedging," Papers 1401.6383, arXiv.org.
    • Handle: RePEc:arx:papers:1401.6383
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    References listed on IDEAS

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    1. Lauri Viitasaari, 2012. "Option prices with call prices," Papers 1207.6205, arXiv.org, revised Aug 2012.
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