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The Quadratic Approximation For The Value Of American Options
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Book Synopsis The Quadratic Approximation for the Value of American Options by : Andreas Andrikopoulos
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.
Book Synopsis On the Quadratic Approximation to the Value of American Options by : Andreas Andrikopoulos
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.
Book Synopsis Currency Derivatives by : David F. DeRosa
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)
Book Synopsis Analytical Approximations to the Valuation of American Options by : Andreas Andrikopoulos
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.
Book Synopsis Pricing Options with Futures-Style Margining by : Alan White
Download or read book Pricing Options with Futures-Style Margining written by Alan White and published by Routledge. This book was released on 2014-02-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the applicability of a relatively new and powerful tool, genetic adaptive neural networks, to the field of option valuation. A genetic adaptive neural network model is developed to price option contracts with futures-style margining. This model is capable of estimating complex, non-linear relationships without having prior knowledge of the specific nature of the relationships. Traditional option pricing models require that the researcher or practitioner specify the distribution of the underlying asset. In addition, the methodology is able to easily accommodate additional inputs(something that cannot be preformed with existing models. Since 1973, options on stock have been traded on organized exchanges in the United States. An option on a stock gives the option owner the right to buy or sell the stock for a pre-set price.. Since the introduction of stock options, the options market has experienced tremendous growth and has spawned even more exotic types of derivative securities. Obviously, valuing these securities is an issue of great importance to investors and hedgers in the financial marketplace. Existing pricing models produce systematic pricing errors and new models have to be developed for options with differing characteristics. The genetic adaptive neural network is found to provide more accurate valuation than a traditional option pricing model when applied to the 3-month Eurodollar futures-option contract traded on the London International Financial Futures and Options Exchange.
Book Synopsis Financial Derivatives by : Bishnupriya Mishra
Download or read book Financial Derivatives written by Bishnupriya Mishra and published by Excel Books India. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent decade, financial markets have been marked by excessive volatility and are associated with various risks. Derivatives are the instruments for managing risks. Derivatives are financial contracts whose value/price is dependent on the behavior of the price of one or more basic underlying assets which may be commodity or financial asset. In recent years, derivatives have become increasingly important in the field of finance. The book discusses at large the meaning, basic understanding, pricing and trading strategies of the financial derivatives. Common derivatives include options, forward contracts, futures contracts, and swaps. While futures and options are now actively traded on many exchanges, forward contracts are popular on the OTC market. This book provides a broad-based introduction to the technical aspects of the main classes of derivatives, the markets in which they are traded and the underlying concepts. This book is a comprehensive, industry-independent exploration of financial derivatives which offers an insightful look inside financial derivatives that is sweeping corporate world, banks, and investment finance. From reviewing the basic building blocks of financial derivatives to systematically examining the myriad of processes involved in creating innovative financial instruments, this lucid text provides professional advice to the learners. This book is intended as a text for MBA students specializing in the area of Finance, students of CA/ICWA, students of M.Com, academicians, researchers, practitioners and investors in general.
Download or read book Derivatives written by Robert E. Whaley and published by John Wiley & Sons. This book was released on 2007-02-26 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Whaley has more than twenty-five years of experience in the world of finance, and with this book he shares his hard-won knowledge in the field of derivatives with you. Divided into ten information-packed parts, Derivatives shows you how this financial tool can be used in practice to create risk management, valuation, and investment solutions that are appropriate for a variety of market situations.
Book Synopsis On the Quadratic Valuation of American Options by : Andreas Andrikopoulos
Download or read book On the Quadratic Valuation of American Options written by Andreas Andrikopoulos and published by . This book was released on 2010 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper extends the framework of analytical approximations to the valuation of American options by suggesting alternative forms for the value function of the American option. We model the value function of the early exercise premium as a product of two functions, one of which being a function of time and the other being a function of price and test the accuracy of an alternative functional forms for the time-function. The tested functional form leads to fast and accurate valuation of options with early exercise opportunities.
Book Synopsis Derivative Products and Pricing by : Satyajit Das
Download or read book Derivative Products and Pricing written by Satyajit Das and published by John Wiley & Sons. This book was released on 2005-10-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derivative Products & Pricing consists of 4 Parts divided into 16 chapters covering the role and function of derivatives, basic derivative instruments (exchange traded products (futures and options on future contracts) and over-the-counter products (forwards, options and swaps)), the pricing and valuation of derivatives instruments, derivative trading and portfolio management.
Book Synopsis Some Easy-to-Implement Methods of Calculating American Futures Option Prices by : M.M. Chaudhury
Download or read book Some Easy-to-Implement Methods of Calculating American Futures Option Prices written by M.M. Chaudhury and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: While the existing methods of American futures option valuation are more accurate than Black's European formula, they are not as user friendly, especially in estimating ISD. Hence, despite the fact that Black's formula ignores the early exercise possibility, it remains a popular choice for many practitioners and researchers. Using the pure option pricing results, this paper shows the American futures option value as a multiple of Black's European option value. Depending on how the multiple is estimated, four new methods of calculating American futures option prices are offered. Their input requirements are the same as Black's formula and they are as easy to implement as Black's formula both for calculating the option price or to estimate ISD. This is because they do not require the critical futures price(s) as input. Simulation results indicate that the new methods are fairly accurate. Their accuracy is better than Black's formula and is as good as the accuracy of the quadratic approximation method of Barone-Adesi and Whaley. In fact, for most traded American futures options, even the simplest of the four new methods offer an excellent approximation to the true (binomial) option price.
Book Synopsis Exotic Options: A Guide To Second Generation Options (2nd Edition) by : Peter Guangping Zhang
Download or read book Exotic Options: A Guide To Second Generation Options (2nd Edition) written by Peter Guangping Zhang and published by World Scientific. This book was released on 1998-06-17 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic and extensive book on exotic options. The book covers essentially all popular exotic options currently trading in the Over-the-Counter (OTC) market, from digitals, quantos, spread options, lookback options, Asian options, vanilla barrier options, to various types of exotic barrier options and other options. Each type of exotic options is largely written in a separate chapter, beginning with the basic concepts of the products and then moving on to how to price them in closed-form solutions. Many pricing formulae and analyses which have not previously appeared in the literature are included and illustrated with detailed examples. It will be of great interest to traders, marketers, analysts, risk managers, professors, graduate students, and anyone who is interested in what is going on in the rapidly changing financial market.
Book Synopsis Handbook of the Economics of Finance by : G. Constantinides
Download or read book Handbook of the Economics of Finance written by G. Constantinides and published by Elsevier. This book was released on 2003-11-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1B covers the economics of financial markets: the saving and investment decisions; the valuation of equities, derivatives, and fixed income securities; and market microstructure.
Book Synopsis On the Valuation of American Exchange Options by : Andreas Andrikopoulos
Download or read book On the Valuation of American Exchange Options written by Andreas Andrikopoulos and published by . This book was released on 2009 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: We adopt a quadratic approach to the valuation of the option to exchange one asset for another, when the option owner has the right to exercise prior to option expiration. Accurate pricing results are obtained and tested against competitive models in the literature, building on the hypothesis that option value is the product of two functions, one being a function of time, and the other one being a function of the stock prices.
Book Synopsis Options on Foreign Exchange by : David F. DeRosa
Download or read book Options on Foreign Exchange written by David F. DeRosa and published by John Wiley & Sons. This book was released on 2011-07-05 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the world's largest financial market Foreign exchange is the world's largest financial market and continues to grow at a rapid pace. As economies intertwine and currencies fluctuate there is hardly a corporate entity that doesn't need to use options on foreign exchange to hedge risk or increase returns. Moreover, currency options, both vanilla and exotic, are part of standard toolkit of professional portfolio managers and hedge funds. Written by a practitioner with real-world experience in this field, the Third Edition of Options on Foreign Exchange opens with a substantive discussion of the spot and forward foreign exchange market and the mechanics of trading currency options. The Black-Scholes-Merton option-pricing model as applied to currency options is also covered, along with an examination of currency futures options. Throughout the book, author David DeRosa addresses the essential elements of this discipline and prepares you for the various challenges you could face. Updates new developments in the foreign exchange markets, particularly regarding the volatility surface Includes expanded coverage of the currency crises and capital controls, electronic trading, forward contracts, exotic options, and more Employs real-world terminology so you can a firm understanding of this dynamic marketplace The only way to truly succeed in today's foreign exchange market is by becoming more familiar with currency options. The Third Edition of Options on Foreign Exchange will help you achieve this goal and put you in better position to make more profitable decisions in this arena.
Book Synopsis Mathematical Models of Financial Derivatives by : Yue-Kuen Kwok
Download or read book Mathematical Models of Financial Derivatives written by Yue-Kuen Kwok and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.
Book Synopsis On Approximations for the Values of American Options by : Peter Carr
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:
Book Synopsis Derivatives, Risk Management & Value by : Mondher Bellalah
Download or read book Derivatives, Risk Management & Value written by Mondher Bellalah and published by World Scientific. This book was released on 2010 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: 19.1. Numerical analysis and simulation techniques : an introduction to finite difference methods. 19.2. Application to European options on non-dividend paying stocks. 19.3. Valuation of American options with a composite volatility. 19.4. Simulation methods : Monte-Carlo method. ch. 20. Numerical methods and partial differential equations for European and American derivatives with complete and incomplete information. 20.1. Valuation of American calls on dividend-paying stocks. 20.2. American puts on dividend-paying stocks. 20.3. Numerical procedures in the presence of information costs : applications. 20.4. Convertible bonds. 20.5. Two-factor interest rate models and bond pricing within information uncertainty. 20.6. CBs pricing within information uncertainty -- pt. VIII. Exotic derivatives. ch. 21. Risk management : exotics and second-generation options. 21.1. Exchange options. 21.2. Forward-start options. 21.3. Pay-later options. 21.4. Simple chooser options. 21.5. Complex choosers. 21.6. Compound options. 21.7. Options on the maximum (minimum). 21.8. Extendible options. 21.9. Equity-linked foreign exchange options and quantos. 21.10. Binary barrier options. 21.11. Lookback options. ch. 22. Value at risk, credit risk, and credit derivatives. 22.1. VaR and riskmetrics : definitions and basic concepts. 22.2. Statistical and probability foundation of VaR. 22.3. A more advanced approach to VaR. 22.4. Credit valuation and the creditmetrics approach. 22.5. Default and credit-quality migration in the creditmetrics approach. 22.6. Credit-quality correlations. 22.7. Portfolio management of default risk in the Kealhofer, McQuown and Vasicek (KMV) approach. 22.8. Credit derivatives : definitions and main concepts. 22.9. The rating agencies models and the proprietary models.
