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Introduction to Stochastic Calculus for Finance A New Didactic Approach /

The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justifcation is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sondermann, Dieter (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Economics and Mathematical Systems, 579
Temas:
Acceso en línea:Texto Completo

MARC

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490 1 |a Lecture Notes in Economics and Mathematical Systems,  |x 2196-9957 ;  |v 579 
505 0 |a Preliminaries -- to Itô-Calculus -- The Girsanov Transformation -- Application to Financial Economics -- Term Structure Models -- Why Do We Need Itô-Calculus in Finance? -- Appendix: Itô Calculus Without Probabilities. 
520 |a The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justifcation is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to Föllmer, who showed that one can develop Ito's calculus "pathwise" as an exercise in real analysis. The text opens to students interested in finance a quick (but by no means "dirty") road to the tools required for advanced finance in continuous time, including option pricing by martingale methods, term structure models in a HJM-framework and the Libor market model. The reader is supposed only to be familiar with elementary real analysis (e.g. Taylor's Theorem) and basic probability theory. The text is also useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis. 
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