Download or read book Generalized Binomial Trees written by Jens Carsten Jackwerth and published by . This book was released on 1996 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Option Pricing written by Hanjie Shi and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, I will discuss the fundamental methods to value the options in Financial Mathematics, more specifically, the discrete time Binomial Tree Model and a generalization, the Trinomial Tree Model. This is based on the assumption that the model is risk-free and we use the replication portfolio method to find option price. In addition, I will show that the option price is depending on the numbers of steps of the underlying stock price go up/down in a small amount and the numbers of steps of stock price go up/down in large amount. But it doesn't depend on when it will occur. This shows that the option price is not only depending on the replication method. This study explains that the binomial model can only work with stock prices with low volatility.

Download or read book Binomial Models in Finance written by John van der Hoek and published by Springer Science & Business Media. This book was released on 2006 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with many topics in modern financial mathematics in a way that does not use advanced mathematical tools and shows how these models can be numerically implemented in a practical way. The book is aimed at undergraduate students, MBA students, and executives who wish to understand and apply financial models in the spreadsheet computing environment. The basic building block is the one-step binomial model where a known price today can take one of two possible values at the next time. In this simple situation, risk neutral pricing can be defined and the model can be applied to price forward contracts, exchange rate contracts, and interest rate derivatives. The simple one-period framework can then be extended to multi-period models. The authors show how binomial tree models can be constructed for several applications to bring about valuations consistent with market prices. The book closes with a novel discussion of real options. John van der Hoek is Senior Lecturer in Applied Mathematics at the University of Adelaide. He has developed courses in finance for a number of years at various levels and is a regular plenary speaker at major conferences on Quantitative Finance. Robert J. Elliott is RBC Financial Group Professor of Finance at the Haskayne School of Business at the University of Calgary. He is the author of over 300 research papers and several books, including Mathematics of Financial Markets, Second Edition (with P. Ekkehard Kopp), Stochastic Calculus and Applications, Hidden Markov Models (with Lahkdar Aggoun and John Moore) and Measure Theory and Filtering: Theory and Applications (with Lakhdar Aggoun). He is an Associate Editor of Mathematical Finance, Stochastics and Stochastics Reports, Stochastic Analysis and Applications, and the Canadian Applied Mathematics Quarterly.

Download or read book An Empirical Comparison of Binomial Tree Models for SET 50 Index Options written by and published by . This book was released on 2009 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: An option is a popular security which is used to reduce and manage the investment risks. The best results of applications of option depend on analysis of option, valuation of option, and some suitable investing strategies. In this research we concern about valuation of option using an empirical comparison of binomial tree models. We compare binomial tree models for SET50 index option in terms of pricing and hedging performances. The underlying asset of SET50 index option is the Stock Exchange Thailand index 50 (SET50) which is traded in the Thailand Futures Exchange (TFEX). The sample data are taken from December 28, 2007 through December 29, 2008. The empirical comparisons are employed among three binomial tree models: the standard binomial tree (SBT), the implied binomial tree (IBT), and the generalized binomial tree (GBT). The performances are measured in terms of the mean error (ME), the mean percentage error (MPE), the mean squared error (MSE), and the mean absolute percentage error (MAPE).

Download or read book Graph Theory and Its Applications Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.

Download or read book Derivatives Pricing and Modeling written by Jonathan Batten and published by Emerald Group Publishing. This book was released on 2012-07-02 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights research in derivatives modelling and markets in a post-crisis world across a number of dimensions or themes. This book addresses the following main areas: derivatives models and pricing, model application and performance backtesting, and new products and market features.

Download or read book The Legacy of Fischer Black written by Bruce N. Lehmann and published by Oxford University Press. This book was released on 2005 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fischer Black was a remarkable social scientist, one whose contributions range from the lofty perch of highbrow theory to the trenches of practical application. The papers represented in this work span the same range, the contributions of a remarkable array of financial economists who embody in different ways Fischer's ideal of insight from economic theory that both guides and is rooted in the kind of detailed observation of relevant aspects of actual financial markets. It is hoped that readers find this volume to be both a fitting tribute and a stimulus to further research. After all, the advancement of economic science remained a constant goal throughout Fischer's remarkable career in the many and disparate venues in which he plies his trade.

Download or read book Market Conform Valuation of Options written by Tobias Herwig and published by Taylor & Francis. This book was released on 2006-01-17 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this volume is on the development of new approaches for the market-conform valuation of newly issued derivatives. The first chapter presents a flexible approach to construct the binomial process of the underlying asset price by using a simultaneously backward and forward induction algorithm. This framework can be used to price and hedge a wide range of plain-vanilla and exotic options. In the second chapter this new approach is compared to existing models using a sample of plain-vanilla options, American call options and European Barrier options from two competing markets. In the third chapter new methods to value American-style options via Monte Carlo simulations in accordance with given market prices are discussed. After a short introduction to Monte Carlo methods, two new approaches are proposed. These new frameworks are illustrated via pricing examples for standard American put options.

Download or read book Financial Engineering and Computation written by Yuh-Dauh Lyuu and published by Cambridge University Press. This book was released on 2001-11-12 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and professionals intending to work in any area of finance must master not only advanced concepts and mathematical models but also learn how to implement these models computationally. This comprehensive text, first published in 2002, combines the theory and mathematics behind financial engineering with an emphasis on computation, in keeping with the way financial engineering is practised in capital markets. Unlike most books on investments, financial engineering, or derivative securities, the book starts from very basic ideas in finance and gradually builds up the theory. It offers a thorough grounding in the subject for MBAs in finance, students of engineering and sciences who are pursuing a career in finance, researchers in computational finance, system analysts, and financial engineers. Along with the theory, the author presents numerous algorithms for pricing, risk management, and portfolio management. The emphasis is on pricing financial and derivative securities: bonds, options, futures, forwards, interest rate derivatives, mortgage-backed securities, bonds with embedded options, and more.

Download or read book Foundations of Multidimensional and Metric Data Structures written by Hanan Samet and published by Morgan Kaufmann. This book was released on 2006-08-08 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Random Dynamical Systems in Finance written by Anatoliy Swishchuk and published by CRC Press. This book was released on 2016-04-19 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of random dynamical systems (RDS) are at the cutting edge of research in mathematics and economics, particularly in modeling the long-run evolution of economic systems subject to exogenous random shocks. Despite this interest, there are no books available that solely focus on RDS in finance and economics. Exploring this

Download or read book The Oxford Guide to Financial Modeling written by Thomas S. Y. Ho and published by Oxford University Press. This book was released on 2004-01-15 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential premise of this book is that theory and practice are equally important in describing financial modeling. In it the authors try to strike a balance in their discussions between theories that provide foundations for financial models and the institutional details that provide the context for applications of the models. The book presents the financial models of stock and bond options, exotic options, investment grade and high-yield bonds, convertible bonds, mortgage-backed securities, liabilities of financial institutions--the business model and the corporate model. It also describes the applications of the models to corporate finance. Furthermore, it relates the models to financial statements, risk management for an enterprise, and asset/liability management with illiquid instruments. The financial models are progressively presented from option pricing in the securities markets to firm valuation in corporate finance, following a format to emphasize the three aspects of a model: the set of assumptions, the model specification, and the model applications. Generally, financial modeling books segment the world of finance as "investments," "financial institutions," "corporate finance," and "securities analysis," and in so doing they rarely emphasize the relationships between the subjects. This unique book successfully ties the thought processes and applications of the financial models together and describes them as one process that provides business solutions. Created as a companion website to the book readers can visit www.thomasho.com to gain deeper understanding of the book's financial models. Interested readers can build and test the models described in the book using Excel, and they can submit their models to the site. Readers can also use the site's forum to discuss the models and can browse server based models to gain insights into the applications of the models. For those using the book in meetings or class settings the site provides Power Point descriptions of the chapters. Students can use available question banks on the chapters for studying.

Download or read book An Asian Direct and Indirect Real Estate Investment Analysis written by Kim Hin David HO and published by Partridge Publishing Singapore. This book was released on 2021-05-04 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to real estate scholastic work, in advancing the greater understanding of real estate investment analysis. This is because there has been limited research in bringing out clearly the uncertainty or risk, which is quantifiable uncertainty in real estate market analysis. Even real estate market research, which is carried out as an industry practice among private real estate researches, is no exception. Another reason is that it has been widely accepted that while the financial revolution has substantially changed many sectors of the financial industry, it has made little impact on real estate development and investment practice as Ill as scholastic work. Furthermore, while it is readily acknowledged that despite its huge share in the world Ialth, real estate investment discipline and research is on the whole still a poorly researched subject area. As a result, the industry tends to be dominated by traditional real estate analysts with little understanding of real estate market uncertainty and capital markets. These commentators are widely regarded to spend too much time worrying about local space supply and demand conditions, while totally losing sight of the everchanging real estate market and capital market conditions. The theme of this book is real estate investment analysis of direct and indirect real, which in turn can be appropriately managed under economic theory and the theoretical conceptions of real estate finance, provided the uncertainty is quantifiable. The book deploys case studies involving Singapore and Asia. This Black over White background viii framework enables real estate market analysis to attempt what defines the Asian direct and indirect real estate sectors; what is being measured; how it behaves (in terms of price and non-price factors); how it is structured and how it effectively achieves the objectives of sustainable total returns and manageable real estate market uncertainty. Managing real estate market uncertainty optimally is achieved at the portfolio level through real estate asset allocation. This is important because the real estate portfolio is able to virtually eliminate the unique (i.e. specific) uncertainties among the various Asian real estate sectors; thus retaining within the portfolio only the systemic (i.e. market-wide) uncertainty. Apart from real estate asset allocation, the alternative and modern approach to risk management at the portfolio level, is the value-at-risk (VaR) approach. Another modern and important alternative to coping with uncertainty is real option analysis and pricing that help to better define real estate market uncertainty in extent and time. Real option analysis and pricing also represent uncertainty via a decision tree and the risk-neutral probability conception, in order to comprehend how uncertainty impacts on the value of real estate investment decisions. The pricing of uncertainty is based on the risk-free hedge security conception. These are best examined at the micro level of the investment in a real estate development opportunity on vacant land. Nevertheless, the real estate sectors in Singapore and Asia offer promising prospects since the Asian currency crisis of 1997. It is now timely to take stock and make an assessment of how the sectors would pan out for the future, Ill into at least rest the next century. I are very pleased to present our thinking and research in international real estate with particular emphasis on Asia. The region’s vast potential for real estate is itself a large incentive for international real estate research and education that has inspired me to document the significant work I have done over the years. Black over White background ix I wish all readers a pleasurable reading of this book, and I thank you sincerely for your support without which the publication of this book would be made all the more difficult. Dr HO, Kim Hin / David Honorary Professor (University of Hertfordshire, UK) (International Real Estate & Public Policy) March 2021.

Download or read book General Technical Report INT written by and published by . This book was released on 1985 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Mathematical Finance with Applications written by Arlie O. Petters and published by Springer. This book was released on 2016-06-17 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

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.

Download or read book Market Expectations and Option Prices written by Martin Mandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a slightly revised version of my doctoral dissertation which has been accepted by the Department of Economics and Business Administration of the Justus-Liebig-Universitat Giessen in July 2002. I am indebted to my advisor Prof. Dr. Volbert Alexander for encouraging and supporting my research. I am also grateful to the second member of the doctoral committee, Prof. Dr. Horst Rinne. Special thanks go to Dr. Ralf Ahrens for providing part of the data and to my colleague Carsten Lang, who spent much time reading the complete first draft. Wetzlar, January 2003 Martin Mandler Contents 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I Theoretical Foundations 2 Arbitrage Pricing and Risk-Neutral Probabilities........ .. 7 2.1 Arbitrage Pricing in the Black/Scholes-Merton Model... . . .. . 7 2.2 The Equivalent Martingale Measure and Risk-Neutral Valuation ............................................... 11 2.3 Extracting Risk-Neutral Probabilities from Option Prices. . . .. 13 2.4 Summary............................................... 15 Appendix 2A: The Valuation Function in the Black/Scholes-Merton Model .................................................. 16 Appendix 2B: Some Further Details on the Replication Strategy ... 21 3 Survey of the Related Literature .......................... 23 3.1 The Information Content of Forward and Futures Prices. . . .. . 24 3.2 The Information Content of Implied Volatilities ............. 25 3.2.1 Implied Volatilities and the Risk-Neutral Probability Density .......................................... 27 3.2.2 The Term Structure of Implied Volatilities. . . . . . . .. . . 29 . 3.2.3 The Forecasting Information in Implied Volatilities. . .. 30 3.2.4 Implied Correlations as Forecasts of Future Correlations 43 VIII Contents 3.3 The Skewness Premium ..... . . . . . . . . . . . . . . . . . . .. . . 45 . . . . . . .