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An Introduction to Financial Mathematics: Option Valuation: Chapman and Hall/CRC Financial Mathematics Series

Autor Hugo D. Junghenn
en Limba Engleză Hardback – 8 mar 2019
Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives.
The book consists of fifteen chapters, the first ten of which develop option valuation techniques in discrete time, the last five describing the theory in continuous time.
The first half of the textbook develops basic finance and probability. The author then treats the binomial model as the primary example of discrete-time option valuation. The final part of the textbook examines the Black-Scholes model.
The book is written to provide a straightforward account of the principles of option pricing and examines these principles in detail using standard discrete and stochastic calculus models. Additionally, the second edition has new exercises and examples, and includes many tables and graphs generated by over 30 MS Excel VBA modules available on the author’s webpage https://home.gwu.edu/~hdj/.
 
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Specificații

ISBN-13: 9780367208820
ISBN-10: 0367208822
Pagini: 316
Ilustrații: 8 Tables, black and white; 38 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.49 kg
Ediția:Nouă
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman and Hall/CRC Financial Mathematics Series


Cuprins

1 Basic Finance
2 Probability Spaces
3 Random Variables
4 Options and Arbitrage
5 Discrete-Time Portfolio Processes
6 Expectation
7 The Binomial Model
8 Conditional Expectation
9 Martingales in Discrete Time Markets
10 American Claims in Discrete-Time Markets
11 Stochastic Calculus 
12 The Black-Scholes-Merton Model
13 Martingales in the Black-Scholes-Merton Model
14 Path Independent Options
15 Path Dependent Options
A Basic Combinatorics
B Solution of the BSM PDE
C Properties of the BSM Call Function
D Solutions to Odd-Numbered Problems

Notă biografică

Hugo D. Junghenn is Professor of Mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including A Course in Real Analysis and Principles of Analysis: Measure, Integration, Functional Analysis, and Applications. His research interests include functional analysis, semigroups, and probability.

Descriere

Designed for readers having a background in standard multivariable calculus, Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. New examples and exercises have been added in this second edition.