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 2006-04-18 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the modelling of prices of ?nancial assets in a simple d- crete time, discrete state, binomial framework. By avoiding the mathematical technicalitiesofcontinuoustime?nancewehopewehavemadethematerial accessible to a wide audience. Some of the developments and formulae appear here for the ?rst time in book form. We hope our book will appeal to various audiences. These include MBA s- dents,upperlevelundergraduatestudents,beginningdoctoralstudents,qu- titative analysts at a basic level and senior executives who seek material on new developments in ?nance at an accessible level. The basic building block in our book is the one-step binomial model where a known price today can take one of two possible values at a future time, which might, for example, be tomorrow, or next month, or next year. In this simple situation “risk neutral pricing” can be de?ned and the model can be applied to price forward contracts, exchange rate contracts and interest rate derivatives. In a few places we discuss multinomial models to explain the notions of incomplete markets and how pricing can be viewed in such a context, where unique prices are no longer available. The simple one-period framework can then be extended to multi-period m- els.TheCox-Ross-RubinsteinapproximationtotheBlackScholesoptionpr- ing formula is an immediate consequence. American, barrier and exotic - tions can all be discussed and priced using binomial models. More precise modelling issues such as implied volatility trees and implied binomial trees are treated, as well as interest rate models like those due to Ho and Lee; and Black, Derman and Toy.

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 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 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 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 770 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 Functional Programming Glasgow 1994 written by Kevin Hammond and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the seventh annual workshop held by the Glasgow Functional Programming Group. The purpose of the workshop is to provide a focus for new research, to foster research contacts with other functional language researchers, and to provide a platform for research students to develop their presentation skills. As in previous years, we spent three days closeted together in a pleasant seaside town, isolated from normal work commitments. We were joined by colleagues from other universities (both UK and abroad) and from industry. Workshop participants presented a short talk about their current research work, and produced a paper which appeared in a draft proceedings. These papers were then reviewed and revised in the light of discussions at the workshop and the referees' comments. A selection of those revised papers (the majority of those presented at the workshop) appears here in the published proceedings. The papers themselves cover a wide span, from theoretical work on algebras and bisimilarity to experience with a real-world medical applica tion. Unsurprisingly, given Glasgow's track record, there is a strong emphasis on compilation techniques and optimisations, and there are also several papers on concurrency and parallelism.

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 Handbook of Computational Finance written by Jin-Chuan Duan and published by Springer Science & Business Media. This book was released on 2011-10-25 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any financial asset that is openly traded has a market price. Except for extreme market conditions, market price may be more or less than a “fair” value. Fair value is likely to be some complicated function of the current intrinsic value of tangible or intangible assets underlying the claim and our assessment of the characteristics of the underlying assets with respect to the expected rate of growth, future dividends, volatility, and other relevant market factors. Some of these factors that affect the price can be measured at the time of a transaction with reasonably high accuracy. Most factors, however, relate to expectations about the future and to subjective issues, such as current management, corporate policies and market environment, that could affect the future financial performance of the underlying assets. Models are thus needed to describe the stochastic factors and environment, and their implementations inevitably require computational finance tools.

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 Graph Theory and Computing written by Ronald C. Read and published by Academic Press. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graph-theoretic programming language. Topics include FORTRAN characteristics of GTPL, design considerations, representation and identification of graphs in a computer, production of simple graphs and star topologies, and production of stars having a given topology. The manuscript examines the entropy of transformed finite-state automata and associated languages; counting hexagonal and triangular polyominoes; and symmetry of cubical and general polyominoes. Graph coloring algorithms, algebraic isomorphism invariants for graphs of automata, and coding of various kinds of unlabeled trees are also discussed. The publication is a valuable source of information for researchers interested in graph theory and computing.

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 . . . . . . .

Download or read book Financial Derivatives written by Jamil Baz and published by Cambridge University Press. This book was released on 2004-01-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete, succinct account of the principles of financial derivatives pricing. The first chapter provides readers with an intuitive exposition of basic random calculus. Concepts such as volatility and time, random walks, geometric Brownian motion, and Ito's lemma are discussed heuristically. The second chapter develops generic pricing techniques for assets and derivatives, determining the notion of a stochastic discount factor or pricing kernel, and then uses this concept to price conventional and exotic derivatives. The third chapter applies the pricing concepts to the special case of interest rate markets, namely, bonds and swaps, and discusses factor models and term structure consistent models. The fourth chapter deals with a variety of mathematical topics that underlie derivatives pricing and portfolio allocation decisions such as mean-reverting processes and jump processes and discusses related tools of stochastic calculus such as Kolmogorov equations, martingale techniques, stochastic control, and partial differential equations.