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Author : 葉仕國
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (848 download)
Download or read book Analytical upper bounds for american option prices written by 葉仕國 and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mo Chaudhury
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (129 download)
Download or read book Upper Bounds for American Options written by Mo Chaudhury and published by . This book was released on 2003 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides a fuller characterization of the analytical upper bounds for American options than has been available to date. We establish properties required of analytical upper bounds without any direct reliance on the exercise boundary. A class of generalized European claims on the same underlying asset is then proposed as upper bounds. This set contains the existing closed form bounds of Margrabe (1978) and Chen and Yeh (2002) as special cases and allows randomization of the maturity payoff. Due to the European nature of the bounds, across-strike arbitrage conditions on option prices seem to carry over to the bounds. Among other things, European option spreads may be viewed as ratio positions on the early exercise option. To tighten the upper bound, we propose a quasi-bound that holds as an upper bound for most situations of interest and seems to offer considerable improvement over the currently available closed form bounds. As an approximation, the discounted value of Chen and Yeh's (2001) bound holds some promise. We also discuss implications for parametric and nonparametric empirical option pricing. Sample option quotes for the European (XEO) and the American (OEX) options on the Samp;P 100 Index appear well behaved with respect to the upper bound properties but the bid-ask spreads are too wide to permit a synthetic short position in the early exercise option.
Author : Alessandro Sbuelz
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)
Download or read book Analytic American Option Pricing written by Alessandro Sbuelz and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In a Black and Scholes (1973) world I study the pricing performance of a closed-form lower bound to American option values based on an exercise strategy corresponding to a flat exercise boundary. The lower bound has a simple two-step implementation akin to the Barone-Adesi and Whaley (1987) formula and shows superior pricing performance in the Out-of-The-Money region and for long maturities.
Author : Cheng Few Lee
Publisher : World Scientific
ISBN 13 : 9811202400
Total Pages : 5053 pages
Book Rating : 4.8/5 (112 download)
Download or read book Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) written by Cheng Few Lee and published by World Scientific. This book was released on 2020-07-30 with total page 5053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.
Author : Dmitrii S. Silvestrov
Publisher : Walter de Gruyter
ISBN 13 : 3110329824
Total Pages : 520 pages
Book Rating : 4.1/5 (13 download)
Download or read book American-Type Options written by Dmitrii S. Silvestrov and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The book also contains an extended bibliography of works in the area. This book is the first volume of the comprehensive two volumes monograph. The second volume will present results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.
Author : In Joon Kim
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (129 download)
Download or read book New Bounds on American Option Prices written by In Joon Kim and published by . This book was released on 2007 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we develop new upper and lower bounds on American option prices which improve the bounds by Broadie and Detemple. The main idea is the consideration of doubly capped call options which have two cap prices. We present a new option price approximation based on the two upper bounds. On average, our upper bound extrapolation (named UBE) has an average accuracy better than a 1,000 time-step binomial tree with a computation speed comparable to a 100 time-step binomial tree. We also provide a new method of approximating the optimal exercise boundaries of American options.
Author : Cheng Few Lee
Publisher : World Scientific
ISBN 13 : 9811280282
Total Pages : 1001 pages
Book Rating : 4.8/5 (112 download)
Download or read book Intermediate Futures And Options: An Active Learning Approach written by Cheng Few Lee and published by World Scientific. This book was released on 2023-10-16 with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt: Futures and Options are concerned with the valuation of derivatives and their application to hedging and speculating investments. This book contains 22 chapters and is divided into five parts. Part I contains an overview including a general introduction as well as an introduction to futures, options, swaps, and valuation theories. Part II: Forwards and Futures discusses futures valuation, the futures market, hedging strategies, and various types of futures. Part III: Option Theories and Applications includes both the basic and advanced valuation of options and option strategies in addition to index and currency options. Part IV: Advanced Analyses of Options takes a look at higher level strategies used to quantitatively approach the analysis of options. Part V: Special Topics of Options and Futures covers the applications of more obscure and alternative methods in derivatives as well as the derivation of the Black-Scholes Option Pricing Model.This book applies an active interdisciplinary approach to presenting the material; in other words, three projects involving the use of real-world financial data on derivative, in addition to homework assignments, are made available for students in this book.
Author : Anthony Neuberger
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (129 download)
Download or read book Bounds on the American Option written by Anthony Neuberger and published by . This book was released on 2007 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential feature of American style claims lies in the holder's right to time the exercise decision. The value of the claim depends on the information about future prices that the holder will acquire over time. Much of the literature makes restrictive assumptions about information revelation - for example that the underlying price process is Markov. This paper explores the upper bound on the price of an American option, placing no assumptions on the information structure. The analysis provides insight into the processes that make the American feature valuable, and points the way to hedging strategies for American options that are robust to model error.
Author : Sebastian Paik
Publisher : University of Bamberg Press
ISBN 13 : 3863091787
Total Pages : 365 pages
Book Rating : 4.8/5 (63 download)
Download or read book Valuation, Empirical Analysis, and Optimal Exercise of Open-End Turbo Certificates written by Sebastian Paik and published by University of Bamberg Press. This book was released on 2014 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonid Kogan
Publisher : Forgotten Books
ISBN 13 : 9780666532459
Total Pages : 82 pages
Book Rating : 4.5/5 (324 download)
Download or read book Pricing American Options written by Leonid Kogan and published by Forgotten Books. This book was released on 2018-02-27 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Pricing American Options: A Duality Approach The main practical contribution of this paper is a general algorithm for constructing upper and lower bounds on the true price of the option using any approximation to the option price. We show that our bounds are tight, so that if the initial approximation is close to the true price of the option, the bounds are also guaranteed to be close. In addition, we explicitly characterize the worst-case performance of the pricing bounds. The computation of the lower bound is straightforward and relies on simulating the suboptimal exercise strategy implied by the approximate option price. The upper bound is obtained by simulating a different stochastic process that is determined by choosing an appropriate supermartingale. We justify this procedure by representing the American option price as a solution of a dual minimization problem, which is the main theoretical result of this paper. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Marco Avellaneda
Publisher : World Scientific
ISBN 13 : 9814495212
Total Pages : 387 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantitative Analysis In Financial Markets: Collected Papers Of The New York University Mathematical Finance Seminar written by Marco Avellaneda and published by World Scientific. This book was released on 1999-10-27 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains lectures delivered at the celebrated Seminar in Mathematical Finance at the Courant Institute. The lecturers and presenters of papers are prominent researchers and practitioners in the field of quantitative financial modeling. Most are faculty members at leading universities or Wall Street practitioners.The lectures deal with the emerging science of pricing and hedging derivative securities and, more generally, managing financial risk. Specific articles concern topics such as option theory, dynamic hedging, interest-rate modeling, portfolio theory, price forecasting using statistical methods, etc.
Author : Robert A Jarrow
Publisher : World Scientific
ISBN 13 : 9814470635
Total Pages : 609 pages
Book Rating : 4.8/5 (144 download)
Download or read book Financial Derivatives Pricing: Selected Works Of Robert Jarrow written by Robert A Jarrow and published by World Scientific. This book was released on 2008-10-08 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous Heath-Jarrow-Morton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.
Author : Yves Hilpisch
Publisher : John Wiley & Sons
ISBN 13 : 1119038006
Total Pages : 390 pages
Book Rating : 4.1/5 (19 download)
Download or read book Derivatives Analytics with Python written by Yves Hilpisch and published by John Wiley & Sons. This book was released on 2015-06-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supercharge options analytics and hedging using the power of Python Derivatives Analytics with Python shows you how to implement market-consistent valuation and hedging approaches using advanced financial models, efficient numerical techniques, and the powerful capabilities of the Python programming language. This unique guide offers detailed explanations of all theory, methods, and processes, giving you the background and tools necessary to value stock index options from a sound foundation. You'll find and use self-contained Python scripts and modules and learn how to apply Python to advanced data and derivatives analytics as you benefit from the 5,000+ lines of code that are provided to help you reproduce the results and graphics presented. Coverage includes market data analysis, risk-neutral valuation, Monte Carlo simulation, model calibration, valuation, and dynamic hedging, with models that exhibit stochastic volatility, jump components, stochastic short rates, and more. The companion website features all code and IPython Notebooks for immediate execution and automation. Python is gaining ground in the derivatives analytics space, allowing institutions to quickly and efficiently deliver portfolio, trading, and risk management results. This book is the finance professional's guide to exploiting Python's capabilities for efficient and performing derivatives analytics. Reproduce major stylized facts of equity and options markets yourself Apply Fourier transform techniques and advanced Monte Carlo pricing Calibrate advanced option pricing models to market data Integrate advanced models and numeric methods to dynamically hedge options Recent developments in the Python ecosystem enable analysts to implement analytics tasks as performing as with C or C++, but using only about one-tenth of the code or even less. Derivatives Analytics with Python — Data Analysis, Models, Simulation, Calibration and Hedging shows you what you need to know to supercharge your derivatives and risk analytics efforts.
Author :
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.3/5 (555 download)
Download or read book The Journal of Derivatives written by and published by . This book was released on 2007 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Ekstrand
Publisher : Springer Science & Business Media
ISBN 13 : 3642221556
Total Pages : 320 pages
Book Rating : 4.6/5 (422 download)
Download or read book Financial Derivatives Modeling written by Christian Ekstrand and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to the modeling of financial derivatives, covering all major asset classes (equities, commodities, interest rates and foreign exchange) and stretching from Black and Scholes' lognormal modeling to current-day research on skew and smile models. The intended reader has a solid mathematical background and is a graduate/final-year undergraduate student specializing in Mathematical Finance, or works at a financial institution such as an investment bank or a hedge fund.
Author : Daniel J. Duffy
Publisher : John Wiley & Sons
ISBN 13 : 0470684062
Total Pages : 775 pages
Book Rating : 4.4/5 (76 download)
Download or read book Monte Carlo Frameworks written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2011-08-02 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the first books that describe all the steps that are needed in order to analyze, design and implement Monte Carlo applications. It discusses the financial theory as well as the mathematical and numerical background that is needed to write flexible and efficient C++ code using state-of-the art design and system patterns, object-oriented and generic programming models in combination with standard libraries and tools. Includes a CD containing the source code for all examples. It is strongly advised that you experiment with the code by compiling it and extending it to suit your needs. Support is offered via a user forum on www.datasimfinancial.com where you can post queries and communicate with other purchasers of the book. This book is for those professionals who design and develop models in computational finance. This book assumes that you have a working knowledge of C ++.
Author : Andreas Andrikopoulos
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (129 download)
Download or read book Analytical Approximations to the Valuation of American Options written by Andreas Andrikopoulos and published by . This book was released on 2007 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quadratic approximation to the valuation of american options on stocks is revisited, constructing a pricing approach based on the fact that the early exercise policy should be chosen to maximize the value of the option. At the first part of the paper, we apply this approach (boundary-optimality) in the setting of the pricing model suggested in Barone-Adesi and Whaley (1987). We enrich their original valuation setting with an additional parameter, computed with the help of a boundary-optimality boundary condition. This approach enhances the accuracy performance of the Barone-Adesi and Whaley (1987) approximation. In the second part of the paper we introduce a novel approximation approach, where option value is the product of two functions, one of the being a function of time and the other one being a function of the stock price. Applying the principle that the early exercise policy should maximize option value, this alternative option pricing technique provides accurate results for american call and put options.
