Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics - Couverture rigide

Livre 22 sur 190: Graduate Studies in Mathematics

American Mathematical Society

 
9780821821237: Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics
Couverture rigide
ISBN 10 : 0821821237 ISBN 13 : 9780821821237
Editeur : American Mathematical Society, 2000

Synopsis

Understanding and working with the current models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Banks and financial houses all over the world recognize this and are avidly recruiting mathematicians, physicists, and other scientists with these skills. The mathematics involved in modern finance springs from the heart of probability and analysis: the Ito calculus, stochastic control, differential equations, martingales, and so on. The authors give rigorous treatments of these topics, while always keeping the applications in mind. Thus, the way in which the mathematics is developed is governed by the way it will be used, rather than by the goal of optimal generality.Indeed, most of purely mathematical topics are treated in extended 'excursions' from the applications into the theory. Thus, with the main topic of financial modelling and optimization in view, the reader also obtains a self-contained and complete introduction to the underlying mathematics. This book is specifically designed as a graduate textbook. It could be used for the second part of a course in probability theory, as it includes an applied introduction to the basics of stochastic processes (martingales and Brownian motion) and stochastic calculus. It would also be suitable for a course in continuous-time finance that assumes familiarity with stochastic processes. The prerequisites are basic probability theory and calculus. Some background in stochastic processes would be useful, but not essential.

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Éditeur
American Mathematical Society
Date d'édition
2000
Langue
anglais
ISBN 10 
0821821237
ISBN 13 
9780821821237
Reliure
Relié
Numéro d'édition
1
Nombre de pages
253
Coordonnées du fabricant
non disponible
Personne responsable
non disponible