The Black-Scholes Model

The Black-Scholes Model
Author: Marek Capiński
Publisher: Cambridge University Press
Total Pages: 179
Release: 2012-09-13
Genre: Business & Economics
ISBN: 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
Total Pages: 179
Release: 2012-09-13
Genre: Business & Economics
ISBN: 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.

Stochastic Calculus for Finance

Stochastic Calculus for Finance
Author: Marek Capiński
Publisher: Cambridge University Press
Total Pages: 187
Release: 2012-08-23
Genre: Business & Economics
ISBN: 1107002648

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

Option Pricing Models and Volatility Using Excel-VBA

Option Pricing Models and Volatility Using Excel-VBA
Author: Fabrice D. Rouah
Publisher: John Wiley & Sons
Total Pages: 456
Release: 2012-06-15
Genre: Business & Economics
ISBN: 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

Black Scholes and Beyond: Option Pricing Models

Black Scholes and Beyond: Option Pricing Models
Author: Neil Chriss
Publisher: McGraw Hill Professional
Total Pages: 512
Release: 1997
Genre: Business & Economics
ISBN: 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.

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
Total Pages: 217
Release: 2019-09-19
Genre: Business & Economics
ISBN: 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"--

Probability Theory in Finance

Probability Theory in Finance
Author: Seán Dineen
Publisher: American Mathematical Soc.
Total Pages: 323
Release: 2013-05-22
Genre: Mathematics
ISBN: 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

Derivatives

Derivatives
Author: Keith Cuthbertson
Publisher: John Wiley & Sons
Total Pages: 116
Release: 2019-12-16
Genre: Business & Economics
ISBN: 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.

How to Calculate Options Prices and Their Greeks

How to Calculate Options Prices and Their Greeks
Author: Pierino Ursone
Publisher: John Wiley & Sons
Total Pages: 224
Release: 2015-04-13
Genre: Business & Economics
ISBN: 1119011639

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A unique, in-depth guide to options pricing and valuing their greeks, along with a four dimensional approach towards the impact of changing market circumstances on options How to Calculate Options Prices and Their Greeks is the only book of its kind, showing you how to value options and the greeks according to the Black Scholes model but also how to do this without consulting a model. You'll build a solid understanding of options and hedging strategies as you explore the concepts of probability, volatility, and put call parity, then move into more advanced topics in combination with a four-dimensional approach of the change of the P&L of an option portfolio in relation to strike, underlying, volatility, and time to maturity. This informative guide fully explains the distribution of first and second order Greeks along the whole range wherein an option has optionality, and delves into trading strategies, including spreads, straddles, strangles, butterflies, kurtosis, vega-convexity , and more. Charts and tables illustrate how specific positions in a Greek evolve in relation to its parameters, and digital ancillaries allow you to see 3D representations using your own parameters and volumes. The Black and Scholes model is the most widely used option model, appreciated for its simplicity and ability to generate a fair value for options pricing in all kinds of markets. This book shows you the ins and outs of the model, giving you the practical understanding you need for setting up and managing an option strategy. • Understand the Greeks, and how they make or break a strategy • See how the Greeks change with time, volatility, and underlying • Explore various trading strategies • Implement options positions, and more Representations of option payoffs are too often based on a simple two-dimensional approach consisting of P&L versus underlying at expiry. This is misleading, as the Greeks can make a world of difference over the lifetime of a strategy. How to Calculate Options Prices and Their Greeks is a comprehensive, in-depth guide to a thorough and more effective understanding of options, their Greeks, and (hedging) option strategies.

Trading and Pricing Financial Derivatives

Trading and Pricing Financial Derivatives
Author: Patrick Boyle
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 298
Release: 2018-12-17
Genre: Business & Economics
ISBN: 1547401214

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Trading and Pricing Financial Derivatives is an introduction to the world of futures, options, and swaps. Investors who are interested in deepening their knowledge of derivatives of all kinds will find this book to be an invaluable resource. The book is also useful in a very applied course on derivative trading. The authors delve into the history of options pricing; simple strategies of options trading; binomial tree valuation; Black-Scholes option valuation; option sensitivities; risk management and interest rate swaps in this immensely informative yet easy to comprehend work. Using their vast working experience in the financial markets at international investment banks and hedge funds since the late 1990s and teaching derivatives and investment courses at the Master's level, Patrick Boyle and Jesse McDougall put forth their knowledge and expertise in clearly explained concepts. This book does not presuppose advanced mathematical knowledge, though it is presented for completeness for those that may benefit from it, and is designed for a general audience, suitable for beginners through to those with intermediate knowledge of the subject.