Option Pricing In Incomplete Markets
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Option Pricing In Incomplete Markets
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Author : Yoshio Miyahara
language : en
Publisher: World Scientific
Release Date : 2012
Option Pricing In Incomplete Markets written by Yoshio Miyahara and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic books categories.
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
Option Pricing In Incomplete Markets Modeling Based On Geometric L Evy Processes And Minimal Entropy Martingale Measures
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Author : Yoshio Miyahara
language : en
Publisher: World Scientific
Release Date : 2011-11-22
Option Pricing In Incomplete Markets Modeling Based On Geometric L Evy Processes And Minimal Entropy Martingale Measures written by Yoshio Miyahara and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-22 with Mathematics categories.
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 Lévy 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 problems./a
Option Pricing In Incomplete Markets
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Author :
language : en
Publisher:
Release Date : 2007
Option Pricing In Incomplete Markets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Dynamic Hedging
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Author : Nassim Nicholas Taleb
language : en
Publisher: John Wiley & Sons
Release Date : 1997-01-14
Dynamic Hedging written by Nassim Nicholas Taleb 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 1997-01-14 with Business & Economics categories.
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
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Author : Michael Magill
language : en
Publisher: MIT Press
Release Date : 2002
Theory Of Incomplete Markets written by Michael Magill and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Business & Economics categories.
Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.
Derivative Pricing In Discrete Time
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Author : Nigel J. Cutland
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-13
Derivative Pricing In Discrete Time written by Nigel J. Cutland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-13 with Mathematics categories.
This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research. The central theme is the question of how to find a fair price for a derivative; defined to be a price at which it is not possible for any trader to make a risk free profit by trading in the derivative. To keep the mathematics as simple as possible, while explaining the basic principles, only discrete time models with a finite number of possible future scenarios are considered. The theory examines the simplest possible financial model having only one time step, where many of the fundamental ideas occur, and are easily understood. Proceeding slowly, the theory progresses to more realistic models with several stocks and multiple time steps, and includes a comprehensive treatment of incomplete models. The emphasis throughout is on clarity combined with full rigour. The later chapters deal with more advanced topics, including how the discrete time theory is related to the famous continuous time Black-Scholes theory, and a uniquely thorough treatment of American options. The book assumes no prior knowledge of financial markets, and the mathematical prerequisites are limited to elementary linear algebra and probability. This makes it accessible to undergraduates in mathematics as well as students of other disciplines with a mathematical component. It includes numerous worked examples and exercises, making it suitable for self-study.
Handbooks In Operations Research And Management Science Financial Engineering
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Author : John R. Birge
language : en
Publisher: Elsevier
Release Date : 2007-11-16
Handbooks In Operations Research And Management Science Financial Engineering written by John R. Birge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-16 with Business & Economics categories.
The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.
Closed Form Solutions For Options In Incomplete Markets
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Author : Oana Floroiu
language : en
Publisher:
Release Date : 2013
Closed Form Solutions For Options In Incomplete Markets written by Oana Floroiu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
This paper reconsiders the predictions of the standard option pricing models in the context of incomplete markets. We relax the completeness assumption of the Black-Scholes (1973) model and as an immediate consequence we can no longer construct a replicating portfolio to price the option. Instead, we use the good-deal bounds technique to arrive at closed-form solutions for the option price. We determine an upper and a lower bound for this price and find that, contrary to Black-Scholes (1973) options theory, increasing the volatility of the underlying asset does not necessarily increase the option value. In fact, the lower bound prices are always a decreasing function of the volatility of the underlying asset, which cannot be explained by a Black-Scholes (1973) type of argument. In contrast, this is consistent with the presence of unhedgeable risk in the incomplete market. Furthermore, in an incomplete market where the underlying asset of an option is either infrequently traded or non-traded, early exercise of an American call option becomes possible at the lower bound, because the economic agent wants to lock in value before it disappears as a result of increased unhedgeable risk.
Exotic Option Pricing And Advanced L Vy Models
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Author : Andreas Kyprianou
language : en
Publisher: John Wiley & Sons
Release Date : 2006-06-14
Exotic Option Pricing And Advanced L Vy Models written by Andreas Kyprianou 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 2006-06-14 with Business & Economics categories.
Since around the turn of the millennium there has been a general acceptance that one of the more practical improvements one may make in the light of the shortfalls of the classical Black-Scholes model is to replace the underlying source of randomness, a Brownian motion, by a Lévy process. Working with Lévy processes allows one to capture desirable distributional characteristics in the stock returns. In addition, recent work on Lévy processes has led to the understanding of many probabilistic and analytical properties, which make the processes attractive as mathematical tools. At the same time, exotic derivatives are gaining increasing importance as financial instruments and are traded nowadays in large quantities in OTC markets. The current volume is a compendium of chapters, each of which consists of discursive review and recent research on the topic of exotic option pricing and advanced Lévy markets, written by leading scientists in this field. In recent years, Lévy processes have leapt to the fore as a tractable mechanism for modeling asset returns. Exotic option values are especially sensitive to an accurate portrayal of these dynamics. This comprehensive volume provides a valuable service for financial researchers everywhere by assembling key contributions from the world's leading researchers in the field. Peter Carr, Head of Quantitative Finance, Bloomberg LP. This book provides a front-row seat to the hottest new field in modern finance: options pricing in turbulent markets. The old models have failed, as many a professional investor can sadly attest. So many of the brightest minds in mathematical finance across the globe are now in search of new, more accurate models. Here, in one volume, is a comprehensive selection of this cutting-edge research. Richard L. Hudson, former Managing Editor of The Wall Street Journal Europe, and co-author with Benoit B. Mandelbrot of The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward
Option Pricing And Portfolio Optimization
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Author : Ralf Korn
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Option Pricing And Portfolio Optimization written by Ralf Korn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Business & Economics categories.
Introduces Ito calculus, concentrating on applications in financial mathematics. Builds the standard diffusion type security market model, then treats the pricing of options in detail, introducing the method of option pricing via replication and no arbitrage. Presents a method of pricing options with partial differential equations, and presents examples of exotic options. Describes basics of Monte Carlo methods, tree methods, and finite difference methods, and deals with the martingale method and the stochastic control method for portfolio optimization. Assumes a previous basic course in probability theory. Author information is not given. Annotation copyrighted by Book News Inc., Portland, OR