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Super-Replication Under Gamma Constraints

H.M. Soner and N. Touzi

Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)

Abstract: We consider a financial market consisting of a nonrisky asset and a risky one. We study the minimal initial capital needed in order to super-replicate a given contingent claim under the Gamma constraint, i.e. a constraint on the unbounded variation part of the hedging porfolio. In the general Markov diffusion case, we prove a verification Theorem which characterizes the super-replication cost as the solution of a quasi variational inequality.

Keywords: FINANCIAL MARKET; RISK; COSTS (search for similar items in EconPapers)
JEL-codes: C61 G00 (search for similar items in EconPapers)
Pages: 25 pages
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:1999.85

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