The Black-Scholes Model

The Black-Scholes Model

Author: Marek Capiński

Publisher: Cambridge University Press

Published: 2012-09-13

Total Pages: 179

ISBN-13: 1107001692

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Master the essential mathematical tools required for option pricing within the context of a specific, yet fundamental, pricing model.


The Black–Scholes Model

The Black–Scholes Model

Author: Marek Capiński

Publisher: Cambridge University Press

Published: 2012-09-13

Total Pages: 179

ISBN-13: 1139576704

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The Black–Scholes option pricing model is the first and by far the best-known continuous-time mathematical model used in mathematical finance. Here, it provides a sufficiently complex, yet tractable, testbed for exploring the basic methodology of option pricing. The discussion of extended markets, the careful attention paid to the requirements for admissible trading strategies, the development of pricing formulae for many widely traded instruments and the additional complications offered by multi-stock models will appeal to a wide class of instructors. Students, practitioners and researchers alike will benefit from the book's rigorous, but unfussy, approach to technical issues. It highlights potential pitfalls, gives clear motivation for results and techniques and includes carefully chosen examples and exercises, all of which make it suitable for self-study.


Probability Theory in Finance

Probability Theory in Finance

Author: Seán Dineen

Publisher: American Mathematical Soc.

Published: 2013-05-22

Total Pages: 323

ISBN-13: 0821894900

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The use of the Black-Scholes model and formula is pervasive in financial markets. There are very few undergraduate textbooks available on the subject and, until now, almost none written by mathematicians. Based on a course given by the author, the goal of


Stochastic Calculus for Finance

Stochastic Calculus for Finance

Author: Marek Capiński

Publisher: Cambridge University Press

Published: 2012-08-23

Total Pages: 187

ISBN-13: 1107002648

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This book introduces key results essential for financial practitioners by means of concrete examples and a fully rigorous exposition.


The Black-Scholes-Merton Model as an Idealization of Discrete-time Economies

The Black-Scholes-Merton Model as an Idealization of Discrete-time Economies

Author: David M. Kreps

Publisher: Cambridge University Press

Published: 2019-09-19

Total Pages: 217

ISBN-13: 1108486363

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"I began this monograph (which, at the time, was a nascent paper) with the objective of understandinghow and how well continuous-time models of economic phenomena - and in particular models that employ Brownian motion - relate to "near by" discrete-time models. We know by examples that the connections are sometimes not altogether obvious; see, for instance, Fudenberg and Levine (2009) and Sadzik and Stacchetti (2015). So, it seemed to me, a general theory connecting the two types of models ought to be available"--


Black Scholes and Beyond: Option Pricing Models

Black Scholes and Beyond: Option Pricing Models

Author: Neil Chriss

Publisher: McGraw Hill Professional

Published: 1997

Total Pages: 512

ISBN-13: 9780786310258

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An unprecedented book on option pricing! For the first time, the basics on modern option pricing are explained ``from scratch'' using only minimal mathematics. Market practitioners and students alike will learn how and why the Black-Scholes equation works, and what other new methods have been developed that build on the success of Black-Shcoles. The Cox-Ross-Rubinstein binomial trees are discussed, as well as two recent theories of option pricing: the Derman-Kani theory on implied volatility trees and Mark Rubinstein's implied binomial trees. Black-Scholes and Beyond will not only help the reader gain a solid understanding of the Balck-Scholes formula, but will also bring the reader up to date by detailing current theoretical developments from Wall Street. Furthermore, the author expands upon existing research and adds his own new approaches to modern option pricing theory. Among the topics covered in Black-Scholes and Beyond: detailed discussions of pricing and hedging options; volatility smiles and how to price options ``in the presence of the smile''; complete explanation on pricing barrier options.


Pricing the Future

Pricing the Future

Author: George G Szpiro

Publisher: Basic Books

Published: 2011-11-29

Total Pages: 322

ISBN-13: 0465028152

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Options have been traded for hundreds of years, but investment decisions were based on gut feelings until the Nobel Prize -- winning discovery of the Black-Scholes options pricing model in 1973 ushered in the era of the "quants." Wall Street would never be the same. In Pricing the Future, financial economist George G. Szpiro tells the fascinating stories of the pioneers of mathematical finance who conducted the search for the elusive options pricing formula. From the broker's assistant who published the first mathematical explanation of financial markets to Albert Einstein and other scientists who looked for a way to explain the movement of atoms and molecules, Pricing the Future retraces the historical and intellectual developments that ultimately led to the widespread use of mathematical models to drive investment strategies on Wall Street.


Theory of Rational Option Pricing

Theory of Rational Option Pricing

Author: Robert C Merton

Publisher: Legare Street Press

Published: 2022-10-27

Total Pages: 0

ISBN-13: 9781015784017

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Option Pricing Models and Volatility Using Excel-VBA

Option Pricing Models and Volatility Using Excel-VBA

Author: Fabrice D. Rouah

Publisher: John Wiley & Sons

Published: 2012-06-15

Total Pages: 456

ISBN-13: 1118429206

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This comprehensive guide offers traders, quants, and students the tools and techniques for using advanced models for pricing options. The accompanying website includes data files, such as options prices, stock prices, or index prices, as well as all of the codes needed to use the option and volatility models described in the book. Praise for Option Pricing Models & Volatility Using Excel-VBA "Excel is already a great pedagogical tool for teaching option valuation and risk management. But the VBA routines in this book elevate Excel to an industrial-strength financial engineering toolbox. I have no doubt that it will become hugely successful as a reference for option traders and risk managers." —Peter Christoffersen, Associate Professor of Finance, Desautels Faculty of Management, McGill University "This book is filled with methodology and techniques on how to implement option pricing and volatility models in VBA. The book takes an in-depth look into how to implement the Heston and Heston and Nandi models and includes an entire chapter on parameter estimation, but this is just the tip of the iceberg. Everyone interested in derivatives should have this book in their personal library." —Espen Gaarder Haug, option trader, philosopher, and author of Derivatives Models on Models "I am impressed. This is an important book because it is the first book to cover the modern generation of option models, including stochastic volatility and GARCH." —Steven L. Heston, Assistant Professor of Finance, R.H. Smith School of Business, University of Maryland


Derivatives

Derivatives

Author: Keith Cuthbertson

Publisher: John Wiley & Sons

Published: 2019-12-16

Total Pages: 116

ISBN-13: 1119595592

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Three experts provide an authoritative guide to the theory and practice of derivatives Derivatives: Theory and Practice and its companion website explore the practical uses of derivatives and offer a guide to the key results on pricing, hedging and speculation using derivative securities. The book links the theoretical and practical aspects of derivatives in one volume whilst keeping mathematics and statistics to a minimum. Throughout the book, the authors put the focus on explanations and applications. Designed as an engaging resource, the book contains commentaries that make serious points in a lighthearted manner. The authors examine the real world of derivatives finance and include discussions on a wide range of topics such as the use of derivatives by hedge funds and the application of strip and stack hedges by corporates, while providing an analysis of how risky the stock market can be for long-term investors, and more. To enhance learning, each chapter contains learning objectives, worked examples, details of relevant finance blogs technical appendices and exercises.