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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Detalles Bibliográficos
Autores: Montero Torralbo, Miquel, Kohatsu-Higa, Arturo
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2003
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/119292
Acceso en línea:https://hdl.handle.net/2445/119292
Access Level:acceso abierto
Palabra clave:Càlcul de Malliavin
Processos estocàstics
Malliavin calculus
Stochastic processes
Descripción
Sumario: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.