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2005-04-11Buch DOI: 10.18452/8338
Notes on free lunch in the limit and pricing by conjugate duality theory
dc.contributor.authorHenclova, Alena
dc.contributor.editorHigle, Julie L.
dc.contributor.editorRömisch, Werner
dc.contributor.editorSen, Surrajeet
dc.date.accessioned2017-06-16T20:04:08Z
dc.date.available2017-06-16T20:04:08Z
dc.date.created2006-03-03
dc.date.issued2005-04-11
dc.date.submitted2004-12-01
dc.identifier.urihttp://edoc.hu-berlin.de/18452/8990
dc.description.abstractKing and Korf introduced, in the framework of a discrete-time dynamic market model on a general probability space, a new concept of arbitrage called free lunch in the limit which is slightly weaker than the common free lunch. The definition was motivated by the attempt at proposing the pricing theory based on the theory of conjugate duality in optimization. We show that this concept of arbitrage fails to have a basic property of other common concepts used in pricing theory-it depends on the underlying probability measure more than through its null sets. However, we show that the interesting pricing results obtained by conjugate duality are still valid if it is only assumed that the market admits no free lunch rather than no free lunch in the limit.King A., Korf L., Martingale pricing measures in incomplete markets via stochastic programming duality in the dual of L1, SPEPS, 2001-13 (available at http://dochost.rz.hu-berlin.de/speps).eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectincomplete marketseng
dc.subjectfree luncheng
dc.subjectfundamental theorem of asset pricingeng
dc.subjectarbitrage pricingeng
dc.subjectconjugate dualityeng
dc.subjectfree lunch in the limiteng
dc.subjectmultistage stochastic programmingeng
dc.subjectfinitelyadditive measureseng
dc.subject.ddc510 Mathematik
dc.titleNotes on free lunch in the limit and pricing by conjugate duality theory
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10059692
dc.identifier.doihttp://dx.doi.org/10.18452/8338
local.edoc.container-titleStochastic Programming E-Print Series
local.edoc.pages16
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2005
local.edoc.container-issue9
local.edoc.container-erstkatid2936317-2

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