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＜電子ブック＞
Mathematical Finance / by Ernst Eberlein, Jan Kallsen
(Springer Finance. ISSN:21950687)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XVII, 772 p. 34 illus., 32 illus. in color : online resource
著者標目	*Eberlein, Ernst author Kallsen, Jan author SpringerLink (Online service)
件　名	LCSH:Social sciences -- Mathematics  全ての件名で検索 LCSH:Probabilities LCSH:Financial engineering LCSH:Financial risk management FREE:Mathematics in Business, Economics and Finance FREE:Probability Theory FREE:Financial Engineering FREE:Risk Management
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-3-030-26106-1

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