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Option Pricing in Incomplete Markets

Option Pricing in Incomplete Markets
Author: Yoshio Miyahara
Publisher: World Scientific
Total Pages: 200
Release: 2012
Genre: Electronic books
ISBN: 1848163487

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This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP & MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric L(r)vy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure. This volume also presents the calibration procedure of the [GLP \& MEMM] model that has been widely used in the application of practical problem


Dynamic Hedging

Dynamic Hedging
Author: Nassim Nicholas Taleb
Publisher: John Wiley & Sons
Total Pages: 536
Release: 1997-01-14
Genre: Business & Economics
ISBN: 9780471152804

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Destined to become a market classic, Dynamic Hedging is the only practical reference in exotic options hedgingand arbitrage for professional traders and money managers Watch the professionals. From central banks to brokerages to multinationals, institutional investors are flocking to a new generation of exotic and complex options contracts and derivatives. But the promise of ever larger profits also creates the potential for catastrophic trading losses. Now more than ever, the key to trading derivatives lies in implementing preventive risk management techniques that plan for and avoid these appalling downturns. Unlike other books that offer risk management for corporate treasurers, Dynamic Hedging targets the real-world needs of professional traders and money managers. Written by a leading options trader and derivatives risk advisor to global banks and exchanges, this book provides a practical, real-world methodology for monitoring and managing all the risks associated with portfolio management. Nassim Nicholas Taleb is the founder of Empirica Capital LLC, a hedge fund operator, and a fellow at the Courant Institute of Mathematical Sciences of New York University. He has held a variety of senior derivative trading positions in New York and London and worked as an independent floor trader in Chicago. Dr. Taleb was inducted in February 2001 in the Derivatives Strategy Hall of Fame. He received an MBA from the Wharton School and a Ph.D. from University Paris-Dauphine.


Theory of Incomplete Markets

Theory of Incomplete Markets
Author: Michael Magill
Publisher: MIT Press
Total Pages: 566
Release: 2002
Genre: Business & Economics
ISBN: 9780262632546

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Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.


Options Markets

Options Markets
Author: John C. Cox
Publisher: Prentice Hall
Total Pages: 518
Release: 1985
Genre: Business & Economics
ISBN:

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Includes the first published detailed description of option exchange operations, the first published treatment using only elementary mathematics and the first step-by-step procedure for implementing the Black-Scholes formula in actual trading.


Beyond Arbitrage

Beyond Arbitrage
Author: John Howland Cochrane
Publisher:
Total Pages: 84
Release: 1996
Genre: Arbitrage
ISBN:

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It is often useful to price assets and other random payoffs by reference to other observed prices rather than construct full-fledged economic asset pricing models. This approach breaks down if one cannot find a perfect replicating portfolio. We impose weak economic restrictions to derive usefully tight bounds on asset prices in this situation. The bounds basically rule out high Sharpe ratios - `good deals' - as well as arbitrage opportunities. We present the method of calculation, we extend it to a multiperiod context by finding a recursive solution, and we apply it to option pricing examples including the Black-Scholes setup with infrequent trading, and a model with stochastic stock volatility and a varying riskfree rate.


Quantitative Strategies for Derivatives Trading

Quantitative Strategies for Derivatives Trading
Author: Dennis Yang
Publisher: Atmif
Total Pages: 308
Release: 2006-07-01
Genre: Business & Economics
ISBN: 9780978578701

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Yang provides a solid foundation to address the question of how to trade derivatives. He offers a systematic way of determining the optimal trading size under a given market price.


Advanced Option Pricing Models

Advanced Option Pricing Models
Author: Jeffrey Owen Katz
Publisher: McGraw Hill Professional
Total Pages: 449
Release: 2005-03-21
Genre: Business & Economics
ISBN: 0071454705

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Advanced Option Pricing Models details specific conditions under which current option pricing models fail to provide accurate price estimates and then shows option traders how to construct improved models for better pricing in a wider range of market conditions. Model-building steps cover options pricing under conditional or marginal distributions, using polynomial approximations and “curve fitting,” and compensating for mean reversion. The authors also develop effective prototype models that can be put to immediate use, with real-time examples of the models in action.


Option Pricing in Fractional Brownian Markets

Option Pricing in Fractional Brownian Markets
Author: Stefan Rostek
Publisher: Springer
Total Pages: 137
Release: 2009-08-29
Genre: Business & Economics
ISBN: 9783642003707

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Mandelbrot and van Ness (1968) suggested fractional Brownian motion as a parsimonious model for the dynamics of ?nancial price data, which allows for dependence between returns over time. Starting with Rogers(1997) there is an ongoing dispute on the proper usage of fractional Brownian motion in option pricing theory. Problems arise because fractional Brownian motion is not a semimartingale and therefore “no arbitrage pricing” cannot be applied. While this is consensus, the consequences are not as clear. The orthodox interpretation is simply that fractional Brownian motion is an inadequate candidate for a price process. However, as shown by Cheridito (2003) any theoretical arbitrage opportunities disappear by assuming that market p- ticipants cannot react instantaneously. This is the point of departure of Rostek’s dissertation. He contributes to this research in several respects: (i) He delivers a thorough introduction to fr- tional integration calculus and uses the binomial approximation of fractional Brownianmotion to give the reader a ?rst idea of this special market setting.


Basic Black-Scholes: Option Pricing and Trading

Basic Black-Scholes: Option Pricing and Trading
Author: Timothy Falcon Crack
Publisher: Timothy Crack
Total Pages: 264
Release: 2014-08-05
Genre: Business & Economics
ISBN: 9780994103857

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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)).