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An Introduction to Financial Option Valuation

An Introduction to Financial Option Valuation
Author: Desmond J. Higham
Publisher: Cambridge University Press
Total Pages: 300
Release: 2004-04-15
Genre: Mathematics
ISBN: 1139457896

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This is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black–Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.


An Introduction to Financial Option Valuation

An Introduction to Financial Option Valuation
Author: Desmond J. Higham
Publisher: Cambridge University Press
Total Pages: 300
Release: 2004-04-15
Genre: Business & Economics
ISBN: 9780521547574

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A textbook providing an introduction to financial option valuation for undergraduates. Solutions available from [email protected].


Option Valuation

Option Valuation
Author: Hugo D. Junghenn
Publisher: CRC Press
Total Pages: 268
Release: 2011-11-23
Genre: Business & Economics
ISBN: 1439889112

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Option Valuation: A First Course in Financial Mathematics provides a straightforward introduction to the mathematics and models used in the valuation of financial derivatives. It examines the principles of option pricing in detail via standard binomial and stochastic calculus models. Developing the requisite mathematical background as needed, the text presents an introduction to probability theory and stochastic calculus suitable for undergraduate students in mathematics, economics, and finance. The first nine chapters of the book describe option valuation techniques in discrete time, focusing on the binomial model. The author shows how the binomial model offers a practical method for pricing options using relatively elementary mathematical tools. The binomial model also enables a clear, concrete exposition of fundamental principles of finance, such as arbitrage and hedging, without the distraction of complex mathematical constructs. The remaining chapters illustrate the theory in continuous time, with an emphasis on the more mathematically sophisticated Black-Scholes-Merton model. Largely self-contained, this classroom-tested text offers a sound introduction to applied probability through a mathematical finance perspective. Numerous examples and exercises help students gain expertise with financial calculus methods and increase their general mathematical sophistication. The exercises range from routine applications to spreadsheet projects to the pricing of a variety of complex financial instruments. Hints and solutions to odd-numbered problems are given in an appendix and a full solutions manual is available for qualifying instructors.


Option Theory with Stochastic Analysis

Option Theory with Stochastic Analysis
Author: Fred Espen Benth
Publisher: Springer Science & Business Media
Total Pages: 172
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642187862

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This is a very basic and accessible introduction to option pricing, invoking a minimum of stochastic analysis and requiring only basic mathematical skills. It covers the theory essential to the statistical modeling of stocks, pricing of derivatives with martingale theory, and computational finance including both finite-difference and Monte Carlo methods.


An Introduction to Financial Mathematics

An Introduction to Financial Mathematics
Author: Hugo D. Junghenn
Publisher: CRC Press
Total Pages: 318
Release: 2019-03-14
Genre: Business & Economics
ISBN: 0429554494

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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/.


Introduction to the Mathematics of Finance

Introduction to the Mathematics of Finance
Author: Steven Roman
Publisher: Springer Science & Business Media
Total Pages: 358
Release: 2013-12-01
Genre: Mathematics
ISBN: 1441990054

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An elementary introduction to probability and mathematical finance including a chapter on the Capital Asset Pricing Model (CAPM), a topic that is very popular among practitioners and economists. Dr. Roman has authored 32 books, including a number of books on mathematics, such as Coding and Information Theory, Advanced Linear Algebra, and Field Theory, published by Springer-Verlag.


An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives
Author: Salih N. Neftci
Publisher: Academic Press
Total Pages: 550
Release: 2000-05-19
Genre: Business & Economics
ISBN: 0125153929

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A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.


Analysis, Geometry, and Modeling in Finance

Analysis, Geometry, and Modeling in Finance
Author: Pierre Henry-Labordere
Publisher: CRC Press
Total Pages: 403
Release: 2008-09-22
Genre: Business & Economics
ISBN: 1420087002

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Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th


Option Pricing and Portfolio Optimization

Option Pricing and Portfolio Optimization
Author: Ralf Korn
Publisher: American Mathematical Soc.
Total Pages: 272
Release: 2001
Genre: Business & Economics
ISBN: 9780821821237

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Understanding and working with the current models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Banks and financial houses all over the world recognize this and are avidly recruiting mathematicians, physicists, and other scientists with these skills. The mathematics involved in modern finance springs from the heart of probability and analysis: the Itô calculus, stochastic control, differential equations, martingales, and so on. The authors give rigorous treatments of these topics, while always keeping the applications in mind. Thus, the way in which the mathematics is developed is governed by the way it will be used, rather than by the goal of optimal generality. Indeed, most of purely mathematical topics are treated in extended "excursions" from the applications into the theory. Thus, with the main topic of financial modelling and optimization in view, the reader also obtains a self-contained and complete introduction to the underlying mathematics. This book is specifically designed as a graduate textbook. It could be used for the second part of a course in probability theory, as it includes as applied introduction to the basics of stochastic processes (martingales and Brownian motion) and stochastic calculus. It would also be suitable for a course in continuous-time finance that assumes familiarity with stochastic processes. The prerequisites are basic probability theory and calculus. Some background in stochastic processes would be useful, but not essential.