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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.


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.


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.


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.