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Preprints, Working Papers, ... Year : 2010

Pricing and Hedging Basis Risk under No Good Deal Assumption

Abstract

We consider the problem of pricing and hedging an option written on a non-exchangeable asset when trading in a correlated asset is possible. This is a typical case of incomplete market where it is well known that the super-replication concept provides generally too high prices. Here, following J.H. Cochrane and J. Saá-Requejo, we study valuation under No Good Deal (NGD) Assumption. First, we clarify the notion of NGD for dynamic strategies, compute a lower and an upper bound and prove that in fact NGD price can be strictly higher that the one previously compute in the literature. We also propose a hedging strategy by imposing criterium on the variance of the replication's error. Finally, we provide various numerical illustrations showing the efficiency of NGD pricing and hedging.
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Dates and versions

hal-00498479 , version 1 (07-07-2010)
hal-00498479 , version 2 (04-01-2011)
hal-00498479 , version 3 (19-07-2011)

Identifiers

  • HAL Id : hal-00498479 , version 3

Cite

Laurence Carassus, Emmanuel Temam. Pricing and Hedging Basis Risk under No Good Deal Assumption. 2010. ⟨hal-00498479v3⟩
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