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978-1-4614-3582-2
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9781461435822
978-1-4614-3582-2
10.1007/978-1-4614-3582-2
doi
HB135-147
KF
bicssc
MAT003000
bisacsh
BUS027000
bisacsh
519
23
Roman, Steven.
author.
Introduction to the Mathematics of Finance
[electronic resource] :
Arbitrage and Option Pricing /
by Steven Roman.
2nd ed. 2012.
New York, NY :
Springer New York,
2012.
XVI, 288 p.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
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rdacarrier
text file
PDF
rda
Undergraduate Texts in Mathematics,
0172-6056
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.
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.
Mathematics.
Finance.
Economics, Mathematical.
Probabilities.
Mathematics.
Quantitative Finance.
Probability Theory and Stochastic Processes.
Finance, general.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9781461435815
Undergraduate Texts in Mathematics,
0172-6056
http://dx.doi.org/10.1007/978-1-4614-3582-2
ZDB-2-SMA
370554
370554
0
0
0
0
EBook
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elib
2018-01-15
2018-01-15
2018-01-15
EBOOK