Modeling financial assets without semimartingales

dc.creatorCoviello, Rosanna
dc.creatorRusso, Francesco
dc.date2006-06-26
dc.date.accessioned2026-07-07T07:17:41Z
dc.date.available2026-07-07T07:17:41Z
dc.descriptionThis paper does not suppose a priori that the evolution of the price of a financial asset is a semimartingale. Since possible strategies of investors are self-financing, previous prices are forced to be finite quadratic variation processes. The non-arbitrage property is not excluded if the class ${\cal A}$ of admissible strategies is restricted. The classical notion of martingale is replaced with the notion of ${\cal A}$-martingale. A calculus related to ${\cal A}$-martingales with some examples is developed. Some applications to the maximization of the utility of an insider are expanded.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/math/0606642
dc.identifierhttp://arxiv.org/abs/math/0606642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114028
dc.subjectProbability
dc.subject60G48; 60H05; 60H07; 60H10
dc.titleModeling financial assets without semimartingales
dc.typetext

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