Download or read book The Effects of Transaction Costs and Different Borrowing and Lending Rates on the Option Pricing Model written by John E. Gilster and published by . This book was released on 1981 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper solves a stochastic differential equation to demonstrate that the market imperfections of transaction costs and different borrowing and lending rates partially offset each other to yield a range of equilibrium prices for an option. The Black-Scholes model price is shown to be in the lower portion of, or entirely below, the equilibrium range. These observations are used to explain several of the mythical anomalies found in the option pricing literature. The paper also points out that under some conditions there may be NO equilibrium option price. Instead there may be a bounded disequilibrium within which a single option will offer a risk free return above the Treasury bill rate, while SIMULTANEOUSLY permitting borrowing below the borrowing rate.
Download or read book Introduction to Mathematical Finance written by David C. Heath Glen Swindle and published by American Mathematical Soc.. This book was released on 2000-01-25 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable and important strides in the field. A few years later, Harrison and Kreps demonstrated the fundamental role of martingales and stochastic analysis in constructing and understanding models for financial markets. The connection opened the door for a flood of mathematical developments and growth. Concurrently with these mathematical advances, markets have grown, and developments in both academia and industry continue to expand. This lively activity inspired an AMS Short Course at the Joint Mathematics Meetings in San Diego (CA). The present volume includes the written results of that course. Articles are featured by an impressive list of recognized researchers and practitioners. Their contributions present deep results, pose challenging questions, and suggest directions for future research. This collection offers compelling introductory articles on this new, exciting, and rapidly growing field.
Download or read book Option Pricing written by Menachem Brenner and published by Free Press. This book was released on 1983 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Currency Option Pricing with Stochastic Interest Rates and Transaction Costs written by Mariusz Tamborski and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Derivatives Sourcebook written by Terence Lim and published by Now Publishers Inc. This book was released on 2006 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Derivatives Sourcebook is a citation study and classification system that organizes the many strands of the derivatives literature and assigns each citation to a category. Over 1800 research articles are collected and organized into a simple web-based searchable database. We have also included the 1997 Nobel lectures of Robert Merton and Myron Scholes as a backdrop to this literature.
Download or read book Option Pricing Interest Rates and Risk Management written by Elyès Jouini and published by Cambridge University Press. This book was released on 2001 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 handbook surveys the state of practice, method and understanding in the field of mathematical finance. Every chapter has been written by leading researchers and each starts by briefly surveying the existing results for a given topic, then discusses more recent results and, finally, points out open problems with an indication of what needs to be done in order to solve them. The primary audiences for the book are doctoral students, researchers and practitioners who already have some basic knowledge of mathematical finance. In sum, this is a comprehensive reference work for mathematical finance and will be indispensable to readers who need to find a quick introduction or reference to a specific topic, leading all the way to cutting edge material.
Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.
Download or read book Stochastic Processes and Functional Analysis written by Alan C. Krinik and published by CRC Press. This book was released on 2004-03-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas
Download or read book Options written by Stewart Hodges and published by Manchester University Press. This book was released on 1992 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for Worst Case Design and Applications to Risk Management written by Berç Rustem and published by Princeton University Press. This book was released on 2009-02-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recognizing that robust decision making is vital in risk management, this book provides concepts and algorithms for computing the best decision in view of the worst-case scenario. The main tool used is minimax, which ensures robust policies with guaranteed optimal performance that will improve further if the worst case is not realized. The applications considered are drawn from finance, but the design and algorithms presented are equally applicable to problems of economic policy, engineering design, and other areas of decision making. Critically, worst-case design addresses not only Armageddon-type uncertainty. Indeed, the determination of the worst case becomes nontrivial when faced with numerous--possibly infinite--and reasonably likely rival scenarios. Optimality does not depend on any single scenario but on all the scenarios under consideration. Worst-case optimal decisions provide guaranteed optimal performance for systems operating within the specified scenario range indicating the uncertainty. The noninferiority of minimax solutions--which also offer the possibility of multiple maxima--ensures this optimality. Worst-case design is not intended to necessarily replace expected value optimization when the underlying uncertainty is stochastic. However, wise decision making requires the justification of policies based on expected value optimization in view of the worst-case scenario. Conversely, the cost of the assured performance provided by robust worst-case decision making needs to be evaluated relative to optimal expected values. Written for postgraduate students and researchers engaged in optimization, engineering design, economics, and finance, this book will also be invaluable to practitioners in risk management.
Download or read book Handbook of Computational and Numerical Methods in Finance written by Svetlozar Todorov Rachev and published by Springer Science & Business Media. This book was released on 2004-06-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored. This volume presents current research and survey articles focusing on various numerical methods in finance. Key topics covered include: methodological issues, i.e., genetic algorithms, neural networks, Monte–Carlo methods, finite difference methods, stochastic portfolio optimization, as well as the application of other computational and numerical methods in finance and risk management. The book is designed for the academic community and will also serve professional investors. Contributors: K. Amir-Atefi; Z. Atakhanova; A. Biglova; O.J. Blaskowitz; D. D’Souza; W.K. Härdle; I. Huber; I. Khindanova; A. Kohatsu-Higa; P. Kokoszka; M. Montero; S. Ortobelli; E. Özturkmen; G. Pagès; A. Parfionovas; H. Pham; J. Printems; S. Rachev; B. Racheva-Jotova; F. Schlottmann; P. Schmidt; D. Seese; S. Stoyanov; C.E. Testuri; S. Trück; S. Uryasev; and Z. Zheng.
Download or read book Fundamentals of Investments written by Gordon J. Alexander and published by Pearson Educación. This book was released on 2001 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction provides a clear framework for understanding and analyzing securities, and covers the major institutional features and theories of investing. While the book presents a thorough discussion of investments, the authors keep the material practical, relevant, and easy to understand. The latest developments in investments are brought to life through the use of tables, graphs, and illustrations that incorporate current market information and academic research. An international content deals directly with international securities and securities markets throughout the book--along with currency management and interest rate parity. Up-to-date "Money Matters" articles reflect the latest real-world developments and are provided throughout each chapter to give readers a sense of how practitioners deal with various investment issues and use techniques. Other coverage includes an array of investment tools--presented through discussions on stocks, bonds, and other securities such as options and futures. A guide to reviewing, forecasting, and monitoring--for individuals preparing to make investments or take the CFA exam.
Download or read book Journal of Economic Theory written by Pennsylvania and published by . This book was released on 1995 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book BEBR Faculty Working Paper written by and published by . This book was released on 1980 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Option Pricing written by Klaus Bjerre Toft and published by . This book was released on 1994 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Estimating and Testing Option Pricing Models in an Economy with Transaction Costs written by Hyoung-jin Park and published by . This book was released on 2008 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine the effect of transaction costs on implied volatility structure, parameter estimation, and hedging. Using simulations, we document that: (1) Transaction costs can generate the volatility smile phenomena even in the Black-Scholes economy. Especially, volatility smile effect is very strong for short-term options and it disappears as the maturity of options becomes longer. (2) Transaction costs cannot reject the true model falsely. All the parameter values that are supposed to be zero are not statistically significant even in the presence of transaction costs. (3) In hedging, the Black-Scholes model performs better than any other model in any case. This may result from the parameter instability of the cross-sectional estimation method.
Download or read book Options Futures and Agricultural Commodity Programs written by and published by . This book was released on 1988 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
