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Author : Peter Carr
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (419 download)
Download or read book On Approximations for the Values of American Options written by Peter Carr and published by . This book was released on 1994 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andreas Andrikopoulos
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book The Quadratic Approximation for the Value of American Options written by Andreas Andrikopoulos and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The valuation of put options with early-exercise opportunities constitutes a major challenge of asset pricing. The option-theoretic response to this challenge relies on the estimation of the optimal exercise boundary. This paper introduces a novel quadratic approximation for the valuation of American options on common stock. The paper's contribution lies in the tradition of semi-analytical approximation of American put options, which was put forward in Barone-Adesi and Whaley (1987). Assuming that the interest rate and the volatility are constant, the early-exercise premium is modeled as a product of two functions, one being a function of time and the other being a function of the stock price. The numerical results demonstrate the accuracy of the method, over competing alternatives such as the Barone-Adesi and Whaley (1987) algorithm.
Author : Andreas Andrikopoulos
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)
Download or read book On the Quadratic Approximation to the Value of American Options written by Andreas Andrikopoulos and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper extends the quasi-analytical quadratic approximation of Barone-Adesi and Whaley (1987) in order to improve its performance for options with long time to expiration. We build a system of equations with an extra parameter and an additional boundary condition (boundary-optimality), ensuring that the derived exercise boundary maximizes the price of the option. Numerical results for this approach show improved convergence performance for the quadratic approximation in the case of longer option lives.
Author : Giovanni Barone Adesi
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (287 download)
Download or read book Efficient Analytic Approximation of American Option Values written by Giovanni Barone Adesi and published by . This book was released on 1986 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Author : Mark Nathan Broadie
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (35 download)
Download or read book Bounds and Approximations for American Option Values written by Mark Nathan Broadie and published by . This book was released on 1993 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerhard Larcher
Publisher : Springer Nature
ISBN 13 : 3031238702
Total Pages : 363 pages
Book Rating : 4.0/5 (312 download)
Download or read book The Art of Quantitative Finance Vol.2 written by Gerhard Larcher and published by Springer Nature. This book was released on 2023-03-23 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides the necessary techniques from financial mathematics and stochastic analysis for the valuation of more complex financial products and strategies. The author discusses how to make use of mathematical methods to analyse volatilities in capital markets. Furthermore, he illustrates how to apply and extend the Black-Scholes theory to several fields in finance. In the final section of the book, the author introduces the readers to the fundamentals of stochastic analysis and presents examples of applications. This book builds on the previous volume of the author’s trilogy on quantitative finance. The aim of the second volume is to present and discuss more complex and advanced techniques of modern financial mathematics in a way that is intuitive and easy to follow. As in the previous volume, the author provides financial mathematicians with insights into practical requirements when applying financial mathematical techniques in the real world.
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 : Giovanni Barone-Adesi
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (911 download)
Download or read book Efficient Analytic Approximation of American Futures Option Values written by Giovanni Barone-Adesi and published by . This book was released on 1986 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rita L. D'Ecclesia
Publisher : Springer Science & Business Media
ISBN 13 : 3642469574
Total Pages : 271 pages
Book Rating : 4.6/5 (424 download)
Download or read book Operations Research Models in Quantitative Finance written by Rita L. D'Ecclesia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles included in the volume cover a range of diverse topics linked by a common theme: the use of formal modelling techniques to promote better understanding of financial markets and improve management of financial operations. Apart from a theoretical discussion, most of the papers model validation or verification using market data. This collection of articles sets the framework for other studies that could link theory and practice.
Author : Lars Stentoft
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Value Function Approximation Or Stopping Time Approximation written by Lars Stentoft and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Longstaff and Schwartz (2001) a method for American option pricing using simulation and regression is suggested, and since then the method has rapidly gained importance. However, the idea of using regression and simulation for American option pricing was used at least as early as in Carriere (1996). In the present paper we provide a thorough comparison of these two methods and relate them to the work of Tsitsiklis and Van Roy (2001). Although the methods are often considered to be similar this analysis allows us to point out an important but often overlooked difference between the methods. The paper further shows that due to this difference it is possible to provide arguments favoring the method suggested in Longstaff and Schwartz (2001). Finally, the paper compares the methods in a realistic numerical setting and shows that the practitioner does well in choosing the method of Longstaff and Schwartz (2001) instead of the methods of Carriere (1996) or Tsitsiklis and Van Roy (2001) for American option pricing.
Author : John Charnes
Publisher : John Wiley & Sons
ISBN 13 : 1118175441
Total Pages : 342 pages
Book Rating : 4.1/5 (181 download)
Download or read book Financial Modeling with Crystal Ball and Excel, + Website written by John Charnes and published by John Wiley & Sons. This book was released on 2012-06-05 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated look at financial modeling and Monte Carlo simulation with software by Oracle Crystal Ball This revised and updated edition of the bestselling book on financial modeling provides the tools and techniques needed to perform spreadsheet simulation. It answers the essential question of why risk analysis is vital to the decision-making process, for any problem posed in finance and investment. This reliable resource reviews the basics and covers how to define and refine probability distributions in financial modeling, and explores the concepts driving the simulation modeling process. It also discusses simulation controls and analysis of simulation results. The second edition of Financial Modeling with Crystal Ball and Excel contains instructions, theory, and practical example models to help apply risk analysis to such areas as derivative pricing, cost estimation, portfolio allocation and optimization, credit risk, and cash flow analysis. It includes the resources needed to develop essential skills in the areas of valuation, pricing, hedging, trading, risk management, project evaluation, credit risk, and portfolio management. Offers an updated edition of the bestselling book covering the newest version of Oracle Crystal Ball Contains valuable insights on Monte Carlo simulation—an essential skill applied by many corporate finance and investment professionals Written by John Charnes, the former finance department chair at the University of Kansas and senior vice president of global portfolio strategies at Bank of America, who is currently President and Chief Data Scientist at Syntelli Solutions, Inc. Risk Analytics and Predictive Intelligence Division (Syntelli RAPID) Engaging and informative, this book is a vital resource designed to help you become more adept at financial modeling and simulation.
Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)
Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.
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 : Dmitri Faguet
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (129 download)
Download or read book Valuing Finite-Lived Options as Perpetual written by Dmitri Faguet and published by . This book was released on 1998 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show how the value of a finite-lived option can be interpreted as the limit of a sequence of perpetual option values subject to default risk. This interpretation yields new closed form approximations for European and American option values in the Black Scholes model. Numerical results indicate that the approximation is both accurate and computationally efficient.
Author : L. C. G. Rogers
Publisher : Cambridge University Press
ISBN 13 : 9780521573542
Total Pages : 348 pages
Book Rating : 4.5/5 (735 download)
Download or read book Numerical Methods in Finance written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 1997-06-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Finance describes a wide variety of numerical methods used in financial analysis.
Author : David F. DeRosa
Publisher : John Wiley & Sons
ISBN 13 : 9780471252672
Total Pages : 414 pages
Book Rating : 4.2/5 (526 download)
Download or read book Currency Derivatives written by David F. DeRosa and published by John Wiley & Sons. This book was released on 1998-09-07 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mit über einer Billion US Dollar Umsatz stellt der Devisenhandel weltweit den größten Markt dar. In diesem Markt sind Währungsderivate zu einem bevorzugten Handelsinstrument geworden, das von Großbanken, Brokerhäusern, Hedge Funds (spekulativ ausgerichteter Fonds, der mit Hilfe von Derivaten seine Gewinne zu optimieren versucht) und Handelsberatern eingesetzt wird. Zwar sind diese Instrumente heute komplexer denn je, aber sie sind ein unverzichtbares Mittel des Risikomanagements im Devisenhandel. Herausgegeben von führenden Devisenhändlern und Analysten, ist dieses Buch Basislektüre für jeden, der sich in diesem Bereich bewegt. Eine Sammlung der 20 besten und meist zitierten Beiträge zu Währungsderivaten, Preistheorie und Anwendungen von Hedging-Methoden (10/98)
