Dynamic State Tameness

dc.creatorLondoño, Jaime A.
dc.date2005-09-06
dc.date.accessioned2026-07-07T12:07:16Z
dc.date.available2026-07-07T12:07:16Z
dc.descriptionAn extension of the idea of state tameness is presented in a dynamic framework. The proposed model for financial markets is rich enough to provide analytical tools that are mostly obtained in models that arise as the solution of SDEs with deterministic coefficients. In the presented model the augmentation by a shadow stock of the price evolution has a Markovian character. As in a previous paper, the results obtained on valuation of European contingent claims and American contingent claims do not require the full range of the volatility matrix. Under some additional continuity conditions, the conceptual framework provided by the model makes it possible to regard the valuation of financial instruments of the European type as a particular case of valuation of instruments of American type. This provides a unifying framework for the problem of valuation of financial instruments.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0509139
dc.identifierhttp://arxiv.org/abs/math/0509139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208911
dc.subjectProbability
dc.subjectOptimization and Control
dc.subjectPricing of Securities
dc.subject91B28 (Primary) 60H10, 60G40 (Secondary)
dc.titleDynamic State Tameness
dc.typetext

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