The Mathematics of Options

The Mathematics of Options PDF Author: Michael C. Thomsett
Publisher: Springer
ISBN: 3319566350
Category : Business & Economics
Languages : en
Pages : 345

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Book Description
This book is written for the experienced portfolio manager and professional options traders. It is a practical guide offering how to apply options math in a trading world that demands mathematical measurement. Every options trader deals with an array of calculations: beginners learn to identify risks and opportunities using a short list of strategies, while researchers and academics turn to advanced technical manuals. However, almost no books exist for the experienced portfolio managers and professional options traders who fall between these extremes. Michael C. Thomsett addresses this glaring gap with The Mathematics of Options, a practical guide with actionable tools for the practical application of options math in a world that demands quantification. It serves as a valuable reference for advanced methods of evaluating issues of pricing, payoff, probability, and risk. In his characteristic approachable style, Thomsett simplifies complex hot button issues—such as strategic payoffs, return calculations, and hedging options—that may be mentioned in introductory texts but are often underserved. The result is a comprehensive book that helps traders understand the mathematic concepts of options trading so that they can improve their skills and outcomes.

The Mathematics of Options

The Mathematics of Options PDF Author: Michael C. Thomsett
Publisher: Springer
ISBN: 3319566350
Category : Business & Economics
Languages : en
Pages : 345

Get Book Here

Book Description
This book is written for the experienced portfolio manager and professional options traders. It is a practical guide offering how to apply options math in a trading world that demands mathematical measurement. Every options trader deals with an array of calculations: beginners learn to identify risks and opportunities using a short list of strategies, while researchers and academics turn to advanced technical manuals. However, almost no books exist for the experienced portfolio managers and professional options traders who fall between these extremes. Michael C. Thomsett addresses this glaring gap with The Mathematics of Options, a practical guide with actionable tools for the practical application of options math in a world that demands quantification. It serves as a valuable reference for advanced methods of evaluating issues of pricing, payoff, probability, and risk. In his characteristic approachable style, Thomsett simplifies complex hot button issues—such as strategic payoffs, return calculations, and hedging options—that may be mentioned in introductory texts but are often underserved. The result is a comprehensive book that helps traders understand the mathematic concepts of options trading so that they can improve their skills and outcomes.

The Mathematics of Options Trading

The Mathematics of Options Trading PDF Author: C.B. Reehl
Publisher: McGraw Hill Professional
ISBN: 9780071445283
Category : Business & Economics
Languages : en
Pages : 396

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Book Description
The Mathematics of Options Trading shows options traders how to improve their overall trading performance by first understanding and harnessing options mathematics. This detailed manual introduces the math needed to understand options and how they work and provides step-by-step instructions on how to use that math to analyze intended trades before committing capital. Traders learn how to use moving averages, curve fitting, extreme values, skewness, and other techniques to augment trading profits. The valuable accompanying CD-ROM contains programs for analyzing opportunities using several strategies, creating spreadsheets, and more.

Option Valuation

Option Valuation PDF Author: Hugo D. Junghenn
Publisher: CRC Press
ISBN: 1439889112
Category : Business & Economics
Languages : en
Pages : 268

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Book Description
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.

Social Choice and the Mathematics of Manipulation

Social Choice and the Mathematics of Manipulation PDF Author: Alan D. Taylor
Publisher: Cambridge University Press
ISBN: 0521810523
Category : Business & Economics
Languages : en
Pages : 191

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Book Description
Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.

An Introduction to Financial Option Valuation

An Introduction to Financial Option Valuation PDF Author: Desmond J. Higham
Publisher: Cambridge University Press
ISBN: 1139457896
Category : Mathematics
Languages : en
Pages : 300

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Book Description
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.

Option Theory with Stochastic Analysis

Option Theory with Stochastic Analysis PDF Author: Fred Espen Benth
Publisher: Springer Science & Business Media
ISBN: 3642187862
Category : Business & Economics
Languages : en
Pages : 172

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Book Description
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.

Mathematics of Social Choice

Mathematics of Social Choice PDF Author: Christoph Borgers
Publisher: SIAM
ISBN: 0898717620
Category : Political Science
Languages : en
Pages : 233

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Book Description
Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.

Nonlinear Option Pricing

Nonlinear Option Pricing PDF Author: Julien Guyon
Publisher: CRC Press
ISBN: 1466570342
Category : Business & Economics
Languages : en
Pages : 480

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Book Description
New Tools to Solve Your Option Pricing ProblemsFor nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research-including Risk magazine's 2013 Quant of the Year-Nonlinear Option Pricing compares various numerical methods for solving hi

The Axiom of Choice

The Axiom of Choice PDF Author: Thomas J. Jech
Publisher: Courier Corporation
ISBN: 0486466248
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.

Computational Methods for Option Pricing

Computational Methods for Option Pricing PDF Author: Yves Achdou
Publisher: SIAM
ISBN: 0898715733
Category : Technology & Engineering
Languages : en
Pages : 308

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Book Description
This book allows you to understand fully the modern tools of numerical analysis in finance.