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dc.date.accessioned2013-12-19T16:10:26Z
dc.date.available2013-12-19T16:10:26Z
dc.date.created2013-12-19T11:34:16Z
dc.date.issued2013
dc.identifier.urihttp://hdl.handle.net/10852/37937
dc.description.abstractA general market model with memory is considered. The formulation is given in terms of stochastic functional di erential equations, which allow for exibility in the modeling of market memory and delays. We focus on the sensitivity analysis of the dependence of option prices on the memory. This implies a generalization of the concept of delta. Our techniques use Malliavin calculus and Fréchet derivation. When it comes to option prices, we consider both the risk-neutral and the benchmark approaches and we compute the delta in both cases. Some examples are provided.
dc.languageEN
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series: Pure mathematics http://urn.nb.no/URN:NBN:no-8076
dc.relation.urihttp://urn.nb.no/URN:NBN:no-8076
dc.rights© The Author(s) (2013). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society.
dc.titleSENSITIVITY ANALYSIS IN A MARKET WITH MEMORY
dc.typeResearch report
dc.rights.holderCopyright 2013 The Author(s)
dc.creator.authorBanos, David Ruiz
dc.creator.authorDi Nunno, Giulia
dc.creator.authorProske, Frank
cristin.unitcode185,15,13,35
cristin.unitnameStokastisk analyse, finans, forsikring og risiko
cristin.ispublishedtrue
cristin.fulltextpreprint
dc.identifier.cristin1079212
dc.identifier.pagecount31
dc.identifier.urnURN:NBN:no-40027
dc.type.documentForskningsrapport
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/37937/2/P1-2.pdf


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