Download or read book Option Prices As Probabilities written by Christophe Profeta and published by . This book was released on 2010-09-10 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Option Prices as Probabilities written by Christophe Profeta and published by Springer Science & Business Media. This book was released on 2010-01-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance. We recall this formula. Let (B ,t? 0; F ,t? 0, P) - t t note a standard Brownian motion with B = 0, (F ,t? 0) being its natural ?ltra- 0 t t tion. Let E := exp B? ,t? 0 denote the exponential martingale associated t t 2 to (B ,t? 0). This martingale, also called geometric Brownian motion, is a model t to describe the evolution of prices of a risky asset. Let, for every K? 0: + ? (t) :=E (K?E ) (0.1) K t and + C (t) :=E (E?K) (0.2) K t denote respectively the price of a European put, resp. of a European call, associated with this martingale. Let N be the cumulative distribution function of a reduced Gaussian variable: x 2 y 1 ? 2 ? N (x) := e dy. (0.3) 2? ?? The celebrated Black-Scholes formula gives an explicit expression of? (t) and K C (t) in terms ofN : K ? ? log(K) t log(K) t ? (t)= KN ? + ?N ? ? (0.4) K t 2 t 2 and ? ?
Download or read book How to Price and Trade Options written by Al Sherbin and published by John Wiley & Sons. This book was released on 2015-03-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Select and execute the best trades—and reduce risk Rather than teaching options from a financial perspective, How to Price and Trade Options: Identify, Analyze, and Execute the Best Trade Probabilities goes back to the Nobel Prize-winning Black-Scholes model. Written by well-known options expert Al Sherbin, it looks at the basis for probability theory in option trading and explains how to put the odds in your favor when trading options. Inside, you'll discover how anyone can "operate their own casino" if they know how through proper option strategies. Plus, a supplemental website includes videos that walk you through various probability scenarios, pre-formatted spreadsheets, and code. All investors should have a portion of their portfolio set aside for option trades. Not only do options provide great opportunities for leveraged plays, they can also help you earn larger profits with a smaller amount of cash outlay. With the help of this book, traders, active investors, and self-directed investors of all stripes will learn how simple it can be to deploy probability-based trading strategies. Teaches both defined and undefined risk strategies Utilizes simple cost basis reduction strategies to enhance investment returns Draws on unique research studies Discusses volatility to include both historical (realized) and implied volatility: the interplay between the two is a key piece of information overlooked by option traders If you're a trader of any level and want to make the best trades possible, this book has you covered.
Download or read book Using Option Prices to Estimate Realignment Probabilities in the European Monetary System written by Allan M. Malz and published by . This book was released on 1995 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Option Implied Risk Neutral Distributions and Risk Aversion written by Jens Carsten Jackwerth and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Option Trader s Guide to Probability Volatility and Timing written by Jay Kaeppel and published by John Wiley & Sons. This book was released on 2002-10-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide that lets you play the options game with confidence Due to the uncontrollable elements associated with options, many traders find themselves without practical strategies for specific situations. The Option Trader's Guide to Probability, Volatility, and Timing offers traders a variety of strategies to trade options intelligently and confidently in any given situation. With detail and objectivity, this book sets forth risk assessment guidelines, explains risk curve analysis, discusses exit methods, and uncovers some of the biggest mistakes options traders make. The Option Trader's Guide provides readers with strategies for trading options as well as expert advice on when to implement those strategies.
Download or read book How to Price and Trade Options written by Al Sherbin and published by John Wiley & Sons. This book was released on 2015-03-23 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Select and execute the best trades—and reduce risk Rather than teaching options from a financial perspective, How to Price and Trade Options: Identify, Analyze, and Execute the Best Trade Probabilities goes back to the Nobel Prize-winning Black-Scholes model. Written by well-known options expert Al Sherbin, it looks at the basis for probability theory in option trading and explains how to put the odds in your favor when trading options. Inside, you'll discover how anyone can "operate their own casino" if they know how through proper option strategies. Plus, a supplemental website includes videos that walk you through various probability scenarios, pre-formatted spreadsheets, and code. All investors should have a portion of their portfolio set aside for option trades. Not only do options provide great opportunities for leveraged plays, they can also help you earn larger profits with a smaller amount of cash outlay. With the help of this book, traders, active investors, and self-directed investors of all stripes will learn how simple it can be to deploy probability-based trading strategies. Teaches both defined and undefined risk strategies Utilizes simple cost basis reduction strategies to enhance investment returns Draws on unique research studies Discusses volatility to include both historical (realized) and implied volatility: the interplay between the two is a key piece of information overlooked by option traders If you're a trader of any level and want to make the best trades possible, this book has you covered.
Download or read book Vertical Option Spreads written by Charles Conrick, IV and published by John Wiley & Sons. This book was released on 2017-04-26 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make trades on vertical options spreads with the precision of a laser beam Vertical Options Spreads is a combination of a bona-fide academic research-based study and a complete method to trade credit and debit spreads, along with other complex option combination trades such as iron condors and butterflies. Here, the author has accumulated five years of daily data on the ETF, SPY and provided historical evidence of actual win rates at specific multiples of entry points, both in time and price level. For example, traders will be able to use the weekly options, pick a level of risk and return desired, learn how to place the trade, and then discover the actual percent return that the trade would have yielded. This must-have resource includes the basics of option trading and contains references to many excellent works by other authors that explore more about the intricacies of option mechanics and trading. It is far more than an analysis of one specific asset, SPY, featuring a study of probability theory and how it has applied to trading over the past five years, including the highly volatile 2007 to 2009 time frame and the more "normal" 2010 to 2012 time period. The book offer a thorough understanding of how price movement, actual volatility, and implied volatility all provide a complex but workable web in which the informed trader can generate excellent returns. However, the trader must have the discipline to act within the confines of probability and the "law" of large numbers refusing to place trades based on gut feelings or hunches. Offers high-probability based trading that uses the new weekly options Contains handy interactive worksheets that allow traders to select their own risk/return with precision Includes a website with daily and weekly information on the estimate of the actual standard deviation points on the price spectrum Vertical Options Spreads offers traders a research-based guide for trading Standard & Poors 500 ETF, SPY using historic and estimated probabilities and returns that will give them an edge in the marketplace.
Download or read book The Mathematics of Options written by Michael C. Thomsett and published by Springer. This book was released on 2017-08-30 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Option Ipod the Probability of Default Implied by Option Prices Basedon Entropy written by Christian Capuano and published by International Monetary Fund. This book was released on 2008-08-01 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a framework to derive the probability of default implied by the price of equity options. The framework does not require any strong statistical assumption, and provide results that are informative on the expected developments of balance sheet variables, such as assets, equity and leverage, and on the Greek letters (delta, gamma and vega). We show how to extend the framework by using information from the price of a zero-coupon bond and CDS-spreads. In the episode of the collapse of Bear Stearns, option-iPoD was able to early signal market sentiment.
Download or read book Probability Theory and Applications written by Elton P. Hsu and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume gives a balanced overview of the current status of probability theory. An extensive bibliography for further study and research is included. This unique collection presents several important areas of current research and a valuable survey reflecting the diversity of the field.
Download or read book Option Volatility Trading Strategies written by Sheldon Natenberg and published by John Wiley & Sons. This book was released on 2013-03-18 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheldon Natenberg is one of the most sought after speakers on the topic of option trading and volatility strategies. This book takes Sheldon’s non-technical, carefully crafted presentation style and applies it to a book—one that you’ll study and carry around for years as your personal consultant. Learn about the most vital concepts that define options trading, concepts you’ll need to analyze and trade with confidence. In this volume, Sheldon explains the difference between historical volatility, future volatility, and implied volatility. He provides real inspiration and wisdom gleaned from years of trading experience. Th is book captures the energy of the spoken message direct from the source. Learn about implied volatility and how it is calculated Gain insight into the assumptions driving an options pricing model Master the techniques of comparing price to value Realize the important part that probability plays in estimating option prices
Download or read book Market Expectations and Option Prices written by Martin Mandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a slightly revised version of my doctoral dissertation which has been accepted by the Department of Economics and Business Administration of the Justus-Liebig-Universitat Giessen in July 2002. I am indebted to my advisor Prof. Dr. Volbert Alexander for encouraging and supporting my research. I am also grateful to the second member of the doctoral committee, Prof. Dr. Horst Rinne. Special thanks go to Dr. Ralf Ahrens for providing part of the data and to my colleague Carsten Lang, who spent much time reading the complete first draft. Wetzlar, January 2003 Martin Mandler Contents 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I Theoretical Foundations 2 Arbitrage Pricing and Risk-Neutral Probabilities........ .. 7 2.1 Arbitrage Pricing in the Black/Scholes-Merton Model... . . .. . 7 2.2 The Equivalent Martingale Measure and Risk-Neutral Valuation ............................................... 11 2.3 Extracting Risk-Neutral Probabilities from Option Prices. . . .. 13 2.4 Summary............................................... 15 Appendix 2A: The Valuation Function in the Black/Scholes-Merton Model .................................................. 16 Appendix 2B: Some Further Details on the Replication Strategy ... 21 3 Survey of the Related Literature .......................... 23 3.1 The Information Content of Forward and Futures Prices. . . .. . 24 3.2 The Information Content of Implied Volatilities ............. 25 3.2.1 Implied Volatilities and the Risk-Neutral Probability Density .......................................... 27 3.2.2 The Term Structure of Implied Volatilities. . . . . . . .. . . 29 . 3.2.3 The Forecasting Information in Implied Volatilities. . .. 30 3.2.4 Implied Correlations as Forecasts of Future Correlations 43 VIII Contents 3.3 The Skewness Premium ..... . . . . . . . . . . . . . . . . . . .. . . 45 . . . . . . .
Download or read book Introduction to Option Pricing Theory written by G. Kallianpur and published by . This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance. This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory. Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure." "Introduction to Option Pricing Theory is intended for students and researchers in statistics, applied mathematics, business, or economics, who have a background in measure theory and have completed probability theory at the intermediate level. The work lends itself to self-study, as well as to a one-semester course at the graduate level."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Download or read book How to Calculate Options Prices and Their Greeks written by Pierino Ursone and published by John Wiley & Sons. This book was released on 2015-04-13 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Interpreting Prediction Market Prices as Probabilities written by Justin Wolfers and published by . This book was released on 2006 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: While most empirical analysis of prediction markets treats prices of binary options as predictions of the probability of future events, Manski (2004) has recently argued that there is little existing theory supporting this practice. We provide relevant analytic foundations, describing sufficient conditions under which prediction markets prices correspond with mean beliefs. Beyond these specific sufficient conditions, we show that for a broad class of models prediction market prices are usually close to the mean beliefs of traders. The key parameters driving trading behavior in prediction markets are the degree of risk aversion and the distribution of beliefs, and we provide some novel data on the distribution of beliefs in a couple of interesting contexts. We find that prediction markets prices typically provide useful (albeit sometimes biased) estimates of average beliefs about the probability an event occurs.
Download or read book Risk Neutral Valuation written by Nicholas H. Bingham and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a simple approach accessible to a wide audience, this book aims for the heart of mathematical finance: the fundamental formula of arbitrage pricing theory. This method of pricing discounts everything and takes expected values under the equivalent martingale measure. The authors approach is simple and excludes unnecessary proofs of measure-theoretic probability, instead, it favors techniques and examples of proven interest to financial practitioners.
