How To Calculate Options Prices And Their Greeks


How To Calculate Options Prices And Their Greeks
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How To Calculate Options Prices And Their Greeks


How To Calculate Options Prices And Their Greeks
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Author : Pierino Ursone
language : en
Publisher: John Wiley & Sons
Release Date : 2015-06-02

How To Calculate Options Prices And Their Greeks written by Pierino Ursone and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-02 with Business & Economics categories.


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 Options Greeks


Trading Options Greeks
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Author : Dan Passarelli
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-02

Trading Options Greeks written by Dan Passarelli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-02 with Business & Economics categories.


A top options trader details a practical approach for pricing and trading options in any market condition The options market is always changing, and in order to keep up with it you need the greeks—delta, gamma, theta, vega, and rho—which are the best techniques for valuing options and executing trades regardless of market conditions. In the Second Edition of Trading Options Greeks, veteran options trader Dan Pasarelli puts these tools in perspective by offering fresh insights on option trading and valuation. An essential guide for both professional and aspiring traders, this book explains the greeks in a straightforward and accessible style. It skillfully shows how they can be used to facilitate trading strategies that seek to profit from volatility, time decay, or changes in interest rates. Along the way, it makes use of new charts and examples, and discusses how the proper application of the greeks can lead to more accurate pricing and trading as well as alert you to a range of other opportunities. Completely updated with new material Information on spreads, put-call parity and synthetic options, trading volatility, and advanced option trading is also included Explores how to exploit the dynamics of option pricing to improve your trading Having a comprehensive understanding of the greeks is essential to long-term options trading success. Trading Options Greeks, Second Edition shows you how to use the greeks to find better trades, effectively manage them, and ultimately, become more profitable.



Trading Option Greeks


Trading Option Greeks
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Author : Dan Passarelli
language : en
Publisher: John Wiley and Sons
Release Date : 2010-05-13

Trading Option Greeks written by Dan Passarelli and has been published by John Wiley and Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-13 with Business & Economics categories.


Veteran options trader Dan Passarelli explains a new methodology for option trading and valuation. With an introduction to option basics as well as chapters on all types of spreads, put-call parity and synthetic options, trading volatility and studying volatility charts, and advanced option trading, Trading Option Greeks holds pertinent new information on how more accurate pricing can drive profit. Most options traders focus on strategies such as covered calls, vertical spreads, butterflies and condors, and so on. But traders often don't know how to use the "greeks"—the five factors that influence an option's price—to trade more effectively. The "greeks" (Delta, Gamma, Theta, Vega, Rho) are tools to measure minute changes in an option's price based on corresponding changes in: Interest rates Time to expiration Price changes in the underlying security Volatility Dividends Using the greeks can lead to more accurate pricing information that will alert an option trader to mispriced derivatives that can be exploited for profit. In straightforward language and making use of charts and examples, Passarelli explains how to use the greeks to be a better options trader.



Trading Options Greeks


Trading Options Greeks
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Author : Dan Passarelli
language : en
Publisher: John Wiley & Sons
Release Date : 2012-08-22

Trading Options Greeks written by Dan Passarelli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-22 with Business & Economics categories.


A top options trader details a practical approach for pricing and trading options in any market condition The options market is always changing, and in order to keep up with it you need the greeks—delta, gamma, theta, vega, and rho—which are the best techniques for valuing options and executing trades regardless of market conditions. In the Second Edition of Trading Options Greeks, veteran options trader Dan Pasarelli puts these tools in perspective by offering fresh insights on option trading and valuation. An essential guide for both professional and aspiring traders, this book explains the greeks in a straightforward and accessible style. It skillfully shows how they can be used to facilitate trading strategies that seek to profit from volatility, time decay, or changes in interest rates. Along the way, it makes use of new charts and examples, and discusses how the proper application of the greeks can lead to more accurate pricing and trading as well as alert you to a range of other opportunities. Completely updated with new material Information on spreads, put-call parity and synthetic options, trading volatility, and advanced option trading is also included Explores how to exploit the dynamics of option pricing to improve your trading Having a comprehensive understanding of the greeks is essential to long-term options trading success. Trading Options Greeks, Second Edition shows you how to use the greeks to find better trades, effectively manage them, and ultimately, become more profitable.



Money And Mathematics


Money And Mathematics
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Author : Ralf Korn
language : en
Publisher: Springer Nature
Release Date : 2021-10-26

Money And Mathematics written by Ralf Korn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-26 with Business & Economics categories.


This book follows a conversational approach in five dozen stories that provide an insight into the colorful world of financial mathematics and financial markets in a relaxed, accessible and entertaining form. The authors present various topics such as returns, real interest rates, present values, arbitrage, replication, options, swaps, the Black-Scholes formula and many more. The readers will learn how to discover, analyze, and deal with the many financial mathematical decisions the daily routine constantly demands. The book covers a wide field in terms of scope and thematic diversity. Numerous stories are inspired by the fields of deterministic financial mathematics, option valuation, portfolio optimization and actuarial mathematics. The book also contains a collection of basic concepts and formulas of financial mathematics and of probability theory. Thus, also readers new to the subject will be provided with all the necessary information to verify the calculations.



The Complete Guide To Option Pricing Formulas


The Complete Guide To Option Pricing Formulas
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Author : Espen Gaarder Haug
language : en
Publisher: Professional Finance & Investment
Release Date : 2007-01-08

The Complete Guide To Option Pricing Formulas written by Espen Gaarder Haug and has been published by Professional Finance & Investment this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-08 with Business & Economics categories.


Accompanying CD-ROM contains ... "all pricing formulas, with VBA code and ready-to-use Excel spreadsheets and 3D charts for Greeks (or Option Sensitivities)."--Jacket.



Basic Black Scholes Option Pricing And Trading


Basic Black Scholes Option Pricing And Trading
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Author : Timothy Falcon Crack
language : en
Publisher: Timothy Crack
Release Date : 2014-08-05

Basic Black Scholes Option Pricing And Trading written by Timothy Falcon Crack and has been published by Timothy Crack this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-05 with Business & Economics categories.


THE AUTHOR: Dr. Crack studied PhD-level option pricing at MIT and Harvard Business School, taught undergraduate and MBA option pricing at Indiana University (winning many teaching awards), was an independent consultant to the New York Stock Exchange, worked as an asset management practitioner in London, and has traded options for over 15 years. This unique mixture of learning, teaching, consulting, practice, and trading is reflected in every page. SUMMARY OVERVIEW: This revised third edition of Basic Black-Scholes gives extremely clear explanations of Black-Scholes option pricing theory, and discusses direct applications of the theory to option trading. The presentation does not go far beyond basic Black-Scholes for three reasons: First, a novice need not go far beyond Black-Scholes to make money in the options markets; Second, all high-level option pricing theory is simply an extension of Black-Scholes; and Third, there already exist many books that look far beyond Black-Scholes without first laying the firm foundation given here. The trading advice does not go far beyond elementary call and put positions because more complex trades are simply combinations of these. WHAT MAKES THIS BOOK SPECIAL OR UNIQUE?: -It contains the basic intuition you need to trade options for the first time, or interview for an options job. -Honest advice about trading: there is no simple way to beat the markets, but if you have skill this advice can help make you money, and if you have no skill but still choose to trade, this advice can reduce your losses. -Full immersion treatment of transactions costs (T-costs). -Lessons from trading stated in simple terms. -Stylized facts about the markets (e.g., how to profit from reversals, when are T-costs highest/lowest during the trading day, implications of the market for corporate control, etc.). -How to apply (European-style) Black-Scholes pricing to the trading of (American-style) options. -Leverage through margin trading compared to leverage through options. -Black-Scholes option pricing code for the HP17B, HP19B, and HP12C. -Two downloadable spreadsheets. The first allows the user to forecast T-costs for option positions using simple models. The second allows the user to explore option sensitivities including the Greeks. -Practitioner Bloomberg Terminal screenshots to aid learning. -Simple discussion of continuously-compounded returns. -Introduction to "paratrading" (trading stocks side-by-side with options to generate additional profit). -Unique "regrets" treatment of early exercise decisions and trade-offs for American-style calls and puts. -Unique discussion of put-call parity and option pricing. -How to calculate Black-Scholes in your head in 10 seconds (also in Heard on The Street: Quantitative Questions from Wall Street Job Interviews). -Special attention to arithmetic Brownian motion with general pricing formulae and comparisons to Bachelier (1900) and Black-Scholes. -Careful attention to the impact of dividends in analytical American option pricing. -Dimensional analysis and the adequation formula (relating FX call and FX put prices through transformed Black-Scholes formulae). -Intuitive review of risk-neutral pricing/probabilities and how and why these are related to physical pricing/probabilities. -Careful distinction between the early Merton (non-risk-neutral) hedging-type argument and later Cox-Ross/Harrison-Kreps risk-neutral pricing -Simple discussion of Monte-Carlo methods in science and option pricing. -Simple interpretations of the Black-Scholes formula and PDE and implications for trading. -Careful discussion of conditional probabilities as they relate to Black-Scholes. -Intuitive treatment of high-level topics e.g., bond-numeraire interpretation of Black-Scholes (where N(d2) is P*(ITM)) versus the stock-numeraire interpretation (where N(d1) is P**(ITM)).



Volatility Trading


Volatility Trading
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Author : Euan Sinclair
language : en
Publisher: John Wiley & Sons
Release Date : 2011-01-11

Volatility Trading written by Euan Sinclair and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-11 with Business & Economics categories.


In Volatility Trading, Sinclair offers you a quantitative model for measuring volatility in order to gain an edge in your everyday option trading endeavors. With an accessible, straightforward approach. He guides traders through the basics of option pricing, volatility measurement, hedging, money management, and trade evaluation. In addition, Sinclair explains the often-overlooked psychological aspects of trading, revealing both how behavioral psychology can create market conditions traders can take advantage of-and how it can lead them astray. Psychological biases, he asserts, are probably the drivers behind most sources of edge available to a volatility trader. Your goal, Sinclair explains, must be clearly defined and easily expressed-if you cannot explain it in one sentence, you probably aren't completely clear about what it is. The same applies to your statistical edge. If you do not know exactly what your edge is, you shouldn't trade. He shows how, in addition to the numerical evaluation of a potential trade, you should be able to identify and evaluate the reason why implied volatility is priced where it is, that is, why an edge exists. This means it is also necessary to be on top of recent news stories, sector trends, and behavioral psychology. Finally, Sinclair underscores why trades need to be sized correctly, which means that each trade is evaluated according to its projected return and risk in the overall context of your goals. As the author concludes, while we also need to pay attention to seemingly mundane things like having good execution software, a comfortable office, and getting enough sleep, it is knowledge that is the ultimate source of edge. So, all else being equal, the trader with the greater knowledge will be the more successful. This book, and its companion CD-ROM, will provide that knowledge. The CD-ROM includes spreadsheets designed to help you forecast volatility and evaluate trades together with simulation engines.



The Volatility Smile


The Volatility Smile
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Author : Emanuel Derman
language : en
Publisher: John Wiley & Sons
Release Date : 2016-08-15

The Volatility Smile written by Emanuel Derman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-15 with Business & Economics categories.


The Volatility Smile The Black-Scholes-Merton option model was the greatest innovation of 20th century finance, and remains the most widely applied theory in all of finance. Despite this success, the model is fundamentally at odds with the observed behavior of option markets: a graph of implied volatilities against strike will typically display a curve or skew, which practitioners refer to as the smile, and which the model cannot explain. Option valuation is not a solved problem, and the past forty years have witnessed an abundance of new models that try to reconcile theory with markets. The Volatility Smile presents a unified treatment of the Black-Scholes-Merton model and the more advanced models that have replaced it. It is also a book about the principles of financial valuation and how to apply them. Celebrated author and quant Emanuel Derman and Michael B. Miller explain not just the mathematics but the ideas behind the models. By examining the foundations, the implementation, and the pros and cons of various models, and by carefully exploring their derivations and their assumptions, readers will learn not only how to handle the volatility smile but how to evaluate and build their own financial models. Topics covered include: The principles of valuation Static and dynamic replication The Black-Scholes-Merton model Hedging strategies Transaction costs The behavior of the volatility smile Implied distributions Local volatility models Stochastic volatility models Jump-diffusion models The first half of the book, Chapters 1 through 13, can serve as a standalone textbook for a course on option valuation and the Black-Scholes-Merton model, presenting the principles of financial modeling, several derivations of the model, and a detailed discussion of how it is used in practice. The second half focuses on the behavior of the volatility smile, and, in conjunction with the first half, can be used for as the basis for a more advanced course.



Basic Black Scholes


Basic Black Scholes
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Author : Timothy Falcon Crack
language : en
Publisher:
Release Date : 2021-04

Basic Black Scholes written by Timothy Falcon Crack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04 with categories.


[Note: eBook now available; see Amazon author page for details.] THE AUTHOR: Dr. Crack studied PhD-level option pricing at MIT and Harvard Business School, taught undergrad and MBA option pricing at Indiana University (winning many teaching awards), was an independent consultant to the New York Stock Exchange, worked as an asset management practitioner in London, and has traded options for over 20 years. This unique mix of learning, teaching, consulting, practice, and trading is reflected in every page. This revised 5th edition gives clear explanations of Black-Scholes option pricing theory, and discusses direct applications of the theory to trading. The presentation does not go far beyond basic Black-Scholes for three reasons: First, a novice need not go far beyond Black-Scholes to make money in the options markets; Second, all high-level option pricing theory is simply an extension of Black-Scholes; and Third, there already exist many books that look far beyond Black-Scholes without first laying the firm foundation given here. The trading advice does not go far beyond elementary call and put positions because more complex trades are simply combinations of these. UNIQUE SELLING POINTS -The basic intuition you need to trade options for the first time, or interview for an options job. -Honest advice about trading: there is no simple way to beat the markets, but if you have skill this advice can help make you money, and if you have no skill but still choose to trade, this advice can reduce your losses. -Full immersion treatment of transactions costs (T-costs). -Lessons from trading stated in simple terms. -Stylized facts about the markets (e.g., how to profit from reversals, when are T-costs highest/lowest during the trading day, implications of the market for corporate control, etc.). -How to apply European-style Black-Scholes pricing to the trading of American-style options. -Leverage through margin trading compared to leverage through options, including worked spreadsheet example. -Black-Scholes pricing code for the HP17B, HP19B, and HP12C. -Three downloadable spreadsheets. One allows the user to forecast T-costs for option positions using simple models. Another allows the user to explore option sensitivities including the Greeks. -Practitioner Bloomberg Terminal screenshots to aid learning. -Simple discussion of continuously-compounded returns. -Introduction to "paratrading" (trading stocks side-by-side with options to generate additional profit). -Unique "regrets" treatment of early exercise decisions and trade-offs for American-style calls and puts. -Unique discussion of put-call parity and option pricing. -How to calculate Black-Scholes in your head in 10 seconds (also in Heard on The Street: Quantitative Questions from Wall Street Job Interviews). -Special attention to arithmetic Brownian motion with general pricing formulae and comparisons to Bachelier (1900) and Black-Scholes. -Careful attention to the impact of dividends in analytical American option pricing. -Dimensional analysis and the adequation formula (relating FX call and FX put prices through transformed Black-Scholes formulae). -Intuitive review of risk-neutral pricing/probabilities and how and why these are related to physical pricing/probabilities. -Careful distinction between the early Merton (non-risk-neutral) hedging-type argument and later Cox-Ross/Harrison-Kreps risk-neutral pricing -Simple discussion of Monte-Carlo methods in science and option pricing. -Simple interpretations of the Black-Scholes formula and PDE and implications for trading. -Careful discussion of conditional probabilities as they relate to Black-Scholes. -Intuitive treatment of high-level topics e.g., bond-numeraire interpretation of Black-Scholes (where N(d2) is P(ITM)) versus the stock-numeraire interpretation (where N(d1) is P(ITM)). -Introduction and discussion of the risk-neutral probability that a European-style call or put option is ever in the money during its life.