Malliavin Calculus applied to finance

In this article, we give a brief informal introduction to Malliavin Calculus for newcomers. We apply these ideas to the simulation of Greeks in Finance. First to European-type options where formulas can be computed explicitly and therefore can serve as testing ground. Later, we study the case of Asi...

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Bibliographic Details
Authors: Montero Torralbo, Miquel, Kohatsu-Higa, Arturo
Format: article
Status:Versión aceptada para publicación
Publication Date:2003
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/119292
Online Access:https://hdl.handle.net/2445/119292
Access Level:Open access
Keyword:Càlcul de Malliavin
Processos estocàstics
Malliavin calculus
Stochastic processes
Description
Summary:In this article, we give a brief informal introduction to Malliavin Calculus for newcomers. We apply these ideas to the simulation of Greeks in Finance. First to European-type options where formulas can be computed explicitly and therefore can serve as testing ground. Later, we study the case of Asian options where close formulas are not available, and we also open the view for including more exotic derivatives. The Greeks are computed through Monte Carlo simulation.