Introduction to the Mathematics of Finance

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Sprache: Englisch

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Beschreibung

The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model.

This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow much more smoothly. Several topics have been expanded such as the discussions of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewer chapters, and the material on the capital asset pricing model has been removed.

The mathematics is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a "need-to-know" basis. No background in finance is required, since the book contains a chapter on options.

Über den Autor

Steven Roman is currently an Emeritus Professor of Mathematics at the University of California. He is a prolific Springer author; some of his books include
Field Theory
,
Advanced Linear Algebra
,
Introduction to Coding and Information Theory
, and most recently
Fundamentals of Group Theory
.

Zusammenfassung

New edition fully rewritten, re-organized, and slimmed down to make the book flow more smoothly

Classroom-tested for the past five years since the first edition

Includes additional material on options and pricing nonattainable alternatives

Excludes material on the capital asset pricing model, and condenses the material on probability in order to make the book more accessible to its readers

Contains necessary background in financial matters for readers with little experience in finance

Inhaltsverzeichnis

Preface.- Notation Key and Greek Alphabet.- 0 Introduction.- Part 1 Options and Arbitrage.- 1 Background on Options.- 2 An Aperitif on Arbitrage.- Part 2 Discrete-Time Pricing Models.- 3 Discrete Probability.- 4 Stochastic Processes, Filtrations and Martingales.- 5 Discrete-Time Pricing Models.- 6 The Binomial Model.- 7 Pricing Nonattainable Alternatives in an Incomplete Market.- 8 Optimal Stopping and American Options.- Part 3 the Black-Scholes Option Pricing Formula.- 9 Continuous Probability.- 10 The Black-Scholes Option Pricing Formula.- Appendix A: Convexity and the Separation Theorem.- Appendix B: Closed, Convex Cones.- Selected Solutions.- References.- Index

Details

Erscheinungsjahr:	2014
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	xvi 288 S.
ISBN-13:	9781489985996
ISBN-10:	1489985999
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Roman, Steven
Auflage:	2nd ed. 2012
Hersteller:	Springer New York Springer US, New York, N.Y. Undergraduate Texts in Mathematics
Maße:	235 x 155 x 17 mm
Von/Mit:	Steven Roman
Erscheinungsdatum:	09.05.2014
Gewicht:	0,464 kg

Artikel-ID: 105302504