Mathematical Finance

By: Ernst Eberlein, Jan Kallsen

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Hardcover | 12 December 2019

At a Glance

Hardcover
792 Pages

Dimensions(cm)
15.9 x 24.0 x 4.6

Hardcover

$199.00

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Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field.

Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance.

Graduate students, researchers as well as practitioners will benefit from this monograph.

Industry Reviews

"This masterpiece on mathematical finance is written by two leading authorities in the field. It provides an excellent treatment of important topics in mathematical finance. ... A nice feature of the monograph is that the intuitions and practical motivations of theories, methods and models are well explained. ... Another nice feature of the monograph is that problems or exercises are provided in each of the chapters. A chapter-by-chapter review of the monograph is presented in the sequel." (Tak Kuen Siu, zbMATH 1452.91001, 2021)

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