Format:
1 Online-Ressource(XVII, 772 p. 34 illus., 32 illus. in color.)
Edition:
1st ed. 2019.
ISBN:
9783030261061
Series Statement:
Springer Finance
Content:
Part I -- Stochastic Calculus -- Overview -- Discrete Stochastic Calculus -- Lévy Processes -- Stochastic Integration -- Semimartingale Characteristics -- Markov Processes -- Affine and Polynomial Processes -- Optimal Control -- Mathematical Finance -- Overview and Notation -- Equity models -- Markets, Strategies, Arbitrage -- Optimal Investment -- Arbitrage-Based Valuation and Hedging of Derivatives -- Mean-Variance Hedging -- Utility-Based Valuation and Hedging of Derivatives -- Interest Rate Models.
Content:
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. .
Additional Edition:
ISBN 9783030261054
Additional Edition:
ISBN 9783030261078
Additional Edition:
ISBN 9783030261085
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030261054
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030261078
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030261085
Additional Edition:
Erscheint auch als Druck-Ausgabe Eberlein, Ernst, 1945 - Mathematical finance Cham, Switzerland : Springer, 2019 ISBN 9783030261085
Additional Edition:
ISBN 9783030261054
Language:
English
Subjects:
Mathematics
Keywords:
Finanzmathematik
;
Finanzmathematik
DOI:
10.1007/978-3-030-26106-1
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