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Mathematical finance

Eberlein, Ernst.

Mathematical finance

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical financeby Ernst Eberlein, Jan Kallsen.
Author:	Eberlein, Ernst.
other author:	Kallsen, Jan.
Published:	Cham :Springer International Publishing :2019.
Description:	xvii, 772 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Economics, Mathematical.
Online resource:	https://doi.org/10.1007/978-3-030-26106-1
ISBN:	9783030261061$q(electronic bk.)

Mathematical finance
Eberlein, Ernst.

Mathematical finance[electronic resource] /by Ernst Eberlein, Jan Kallsen. - Cham :Springer International Publishing :2019. - xvii, 772 p. :ill., digital ;24 cm. - Springer finance,1616-0533. - Springer finance..

Part I -- Stochastic Calculus -- Overview -- Discrete Stochastic Calculus -- Levy 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.

ISBN: 9783030261061$q(electronic bk.)

Standard No.: 10.1007/978-3-030-26106-1doiSubjects--Topical Terms:

182903
Economics, Mathematical.

LC Class. No.: HB135 / .E34 2019

Dewey Class. No.: 330.0151

Mathematical finance
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245 1 0 $a Mathematical finance $h [electronic resource] / $c by Ernst Eberlein, Jan Kallsen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
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490 1 $a Springer finance, $x 1616-0533
505 0 $a Part I -- Stochastic Calculus -- Overview -- Discrete Stochastic Calculus -- Levy 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.
520 $a 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.
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650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Financial Engineering. $3 744568
650 2 4 $a Risk Management. $3 297189
650 2 4 $a Financial Mathematics. $3 816035
700 1 $a Kallsen, Jan. $3 764488
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856 4 0 $u https://doi.org/10.1007/978-3-030-26106-1
950 $a Mathematics and Statistics (Springer-11649)