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Introduction to the Mathematics of Finance
Buch
Buch
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Fachbuch
2012

Introduction to the Mathematics of Finance

Arbitrage and Option Pricing

Kollektion

Undergraduate Texts in Mathematics

ISBN
EAN
978-1-4614-3581-5
9781461435815
Artikel-Nr.
DR4Q39W
Bestpreis-Garantie
Kostenloser Versand
Rabatt
-19.4
%
CHF 78.00
CHF
62.84
Anzahl
1
Maximale
Lieferzeit
33
Arbeitstage
Dienstag
14.09.2021
speech-bubble-svg 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. 
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
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Herausgeber/-in
Autor/-in
Autorenporträt
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.
Zielgruppe
Upper undergraduate
Publikation
Vereinigte Staaten
2. Auflage -
24.04.2012
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Sprache
Englisch
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Hardcover
288 Seiten
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Kostenloser Versand: Schweiz & Liechtenstein
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