Early Exercise Error And The Pricing Of American Put Options

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The Numerical Solution of the American Option Pricing Problem

Author : Carl Chiarella
Publisher : World Scientific
ISBN 13 : 9814452629
Total Pages : 223 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Numerical Solution of the American Option Pricing Problem by : Carl Chiarella

Download or read book The Numerical Solution of the American Option Pricing Problem written by Carl Chiarella and published by World Scientific. This book was released on 2014-10-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early exercise opportunity of an American option makes it challenging to price and an array of approaches have been proposed in the vast literature on this topic. In The Numerical Solution of the American Option Pricing Problem, Carl Chiarella, Boda Kang and Gunter Meyer focus on two numerical approaches that have proved useful for finding all prices, hedge ratios and early exercise boundaries of an American option. One is a finite difference approach which is based on the numerical solution of the partial differential equations with the free boundary problem arising in American option pricing, including the method of lines, the component wise splitting and the finite difference with PSOR. The other approach is the integral transform approach which includes Fourier or Fourier Cosine transforms. Written in a concise and systematic manner, Chiarella, Kang and Meyer explain and demonstrate the advantages and limitations of each of them based on their and their co-workers'' experiences with these approaches over the years. Contents: Introduction; The Merton and Heston Model for a Call; American Call Options under Jump-Diffusion Processes; American Option Prices under Stochastic Volatility and Jump-Diffusion Dynamics OCo The Transform Approach; Representation and Numerical Approximation of American Option Prices under Heston; Fourier Cosine Expansion Approach; A Numerical Approach to Pricing American Call Options under SVJD; Conclusion; Bibliography; Index; About the Authors. Readership: Post-graduates/ Researchers in finance and applied mathematics with interest in numerical methods for American option pricing; mathematicians/physicists doing applied research in option pricing. Key Features: Complete discussion of different numerical methods for American options; Able to handle stochastic volatility and/or jump diffusion dynamics; Able to produce hedge ratios efficiently and accurately"

Numerical Solution Of The American Option Pricing Problem, The: Finite Difference And Transform Approaches

Author : Carl Chiarella
Publisher : World Scientific
ISBN 13 : 9814452637
Total Pages : 223 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Numerical Solution Of The American Option Pricing Problem, The: Finite Difference And Transform Approaches by : Carl Chiarella

Download or read book Numerical Solution Of The American Option Pricing Problem, The: Finite Difference And Transform Approaches written by Carl Chiarella and published by World Scientific. This book was released on 2014-10-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early exercise opportunity of an American option makes it challenging to price and an array of approaches have been proposed in the vast literature on this topic. In The Numerical Solution of the American Option Pricing Problem, Carl Chiarella, Boda Kang and Gunter Meyer focus on two numerical approaches that have proved useful for finding all prices, hedge ratios and early exercise boundaries of an American option. One is a finite difference approach which is based on the numerical solution of the partial differential equations with the free boundary problem arising in American option pricing, including the method of lines, the component wise splitting and the finite difference with PSOR. The other approach is the integral transform approach which includes Fourier or Fourier Cosine transforms. Written in a concise and systematic manner, Chiarella, Kang and Meyer explain and demonstrate the advantages and limitations of each of them based on their and their co-workers' experiences with these approaches over the years.

American Put Options

Author : Donna Salopek
Publisher : CRC Press
ISBN 13 : 9780582315945
Total Pages : 132 pages
Book Rating : 4.3/5 (159 download)

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Book Synopsis American Put Options by : Donna Salopek

Download or read book American Put Options written by Donna Salopek and published by CRC Press. This book was released on 1997-03-15 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: An American put option gives its owner the right to sell a share of stock at a given specified price on or before a given date. This book provides a detailed comparison of recent works on the American put option from both theoretical and computational approaches.

Pricing American Options Using Monte Carlo Simulation

Author : Victoria Zhanna Averbukh
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Pricing American Options Using Monte Carlo Simulation by : Victoria Zhanna Averbukh

Download or read book Pricing American Options Using Monte Carlo Simulation written by Victoria Zhanna Averbukh and published by . This book was released on 1997 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models of Financial Derivatives

Author : Yue-Kuen Kwok
Publisher : Springer Science & Business Media
ISBN 13 : 3540686886
Total Pages : 541 pages
Book Rating : 4.5/5 (46 download)

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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.

Computational Finance Using C and C#

Author : George Levy
Publisher : Academic Press
ISBN 13 : 0128035765
Total Pages : 391 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Computational Finance Using C and C# by : George Levy

Download or read book Computational Finance Using C and C# written by George Levy and published by Academic Press. This book was released on 2016-07-21 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Finance Using C and C#: Derivatives and Valuation, Second Edition provides derivatives pricing information for equity derivatives, interest rate derivatives, foreign exchange derivatives, and credit derivatives. By providing free access to code from a variety of computer languages, such as Visual Basic/Excel, C++, C, and C#, it gives readers stand-alone examples that they can explore before delving into creating their own applications. It is written for readers with backgrounds in basic calculus, linear algebra, and probability. Strong on mathematical theory, this second edition helps empower readers to solve their own problems. *Features new programming problems, examples, and exercises for each chapter. *Includes freely-accessible source code in languages such as C, C++, VBA, C#, and Excel.. *Includes a new chapter on the history of finance which also covers the 2008 credit crisis and the use of mortgage backed securities, CDSs and CDOs. *Emphasizes mathematical theory. - Features new programming problems, examples, and exercises with solutions added to each chapter - Includes freely-accessible source code in languages such as C, C++, VBA, C#, Excel, - Includes a new chapter on the credit crisis of 2008 - Emphasizes mathematical theory

Options Markets

Author : John C. Cox
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Options Markets by : John C. Cox

Download or read book Options Markets written by John C. Cox and published by Prentice Hall. This book was released on 1985 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes the first published detailed description of option exchange operations, the first published treatment using only elementary mathematics and the first step-by-step procedure for implementing the Black-Scholes formula in actual trading.

Scientific Computing and Applications

Author : Peter Minev
Publisher : Nova Publishers
ISBN 13 : 9781590330272
Total Pages : 312 pages
Book Rating : 4.3/5 (32 download)

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Book Synopsis Scientific Computing and Applications by : Peter Minev

Download or read book Scientific Computing and Applications written by Peter Minev and published by Nova Publishers. This book was released on 2001 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing & Applications

Numerical Solution of Stochastic Differential Equations with Jumps in Finance

Author : Eckhard Platen
Publisher : Springer Science & Business Media
ISBN 13 : 364213694X
Total Pages : 868 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Solution of Stochastic Differential Equations with Jumps in Finance by : Eckhard Platen

Download or read book Numerical Solution of Stochastic Differential Equations with Jumps in Finance written by Eckhard Platen and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: In financial and actuarial modeling and other areas of application, stochastic differential equations with jumps have been employed to describe the dynamics of various state variables. The numerical solution of such equations is more complex than that of those only driven by Wiener processes, described in Kloeden & Platen: Numerical Solution of Stochastic Differential Equations (1992). The present monograph builds on the above-mentioned work and provides an introduction to stochastic differential equations with jumps, in both theory and application, emphasizing the numerical methods needed to solve such equations. It presents many new results on higher-order methods for scenario and Monte Carlo simulation, including implicit, predictor corrector, extrapolation, Markov chain and variance reduction methods, stressing the importance of their numerical stability. Furthermore, it includes chapters on exact simulation, estimation and filtering. Besides serving as a basic text on quantitative methods, it offers ready access to a large number of potential research problems in an area that is widely applicable and rapidly expanding. Finance is chosen as the area of application because much of the recent research on stochastic numerical methods has been driven by challenges in quantitative finance. Moreover, the volume introduces readers to the modern benchmark approach that provides a general framework for modeling in finance and insurance beyond the standard risk-neutral approach. It requires undergraduate background in mathematical or quantitative methods, is accessible to a broad readership, including those who are only seeking numerical recipes, and includes exercises that help the reader develop a deeper understanding of the underlying mathematics.

Market-Conform Valuation of Options

Author : Tobias Herwig
Publisher : Taylor & Francis
ISBN 13 : 9783540308379
Total Pages : 120 pages
Book Rating : 4.3/5 (83 download)

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Book Synopsis Market-Conform Valuation of Options by : Tobias Herwig

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.

Partial Differential Equations of Applied Mathematics

Author : Erich Zauderer
Publisher : Wiley-Interscience
ISBN 13 : 9780471315162
Total Pages : 0 pages
Book Rating : 4.3/5 (151 download)

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Book Synopsis Partial Differential Equations of Applied Mathematics by : Erich Zauderer

Download or read book Partial Differential Equations of Applied Mathematics written by Erich Zauderer and published by Wiley-Interscience. This book was released on 1998-08-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only comprehensive guide to modeling, characterizing, and solving partial differential equations This classic text by Erich Zauderer provides a comprehensive account of partial differential equations and their applications. Dr. Zauderer develops mathematical models that give rise to partial differential equations and describes classical and modern solution techniques. With an emphasis on practical applications, he makes liberal use of real-world examples, explores both linear and nonlinear problems, and provides approximate as well as exact solutions. He also describes approximation methods for simplifying complicated solutions and for solving linear and nonlinear problems not readily solved by standard methods. The book begins with a demonstration of how the three basic types of equations (parabolic, hyperbolic, and elliptic) can be derived from random walk models. It continues in a less statistical vein to cover an exceptionally broad range of topics, including stabilities, singularities, transform methods, the use of Green's functions, and perturbation and asymptotic treatments. Features that set Partial Differential Equations of Applied Mathematics, Second Edition above all other texts in the field include: Coverage of random walk problems, discontinuous and singular solutions, and perturbation and asymptotic methods More than 800 practice exercises, many of which are fully worked out Numerous up-to-date examples from engineering and the physical sciences Partial Differential Equations of Applied Mathematics, Second Edition is a superior advanced-undergraduate to graduate-level text for students in engineering, the sciences, and applied mathematics. The title is also a valuable working resource for professionals in these fields. Dr. Zauderer received his doctorate in mathematics from the New York University-Courant Institute. Prior to joining the staff of Polytechnic University, he was a Senior Weitzmann Fellow of the Weitzmann Institute of Science in Rehovot, Israel.

Applied Computational Economics and Finance

Author : Mario J. Miranda
Publisher : MIT Press
ISBN 13 : 0262291754
Total Pages : 529 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Applied Computational Economics and Finance by : Mario J. Miranda

Download or read book Applied Computational Economics and Finance written by Mario J. Miranda and published by MIT Press. This book was released on 2004-08-20 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a variety of computational methods used to solve dynamic problems in economics and finance. It emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. The examples are drawn from a wide range of subspecialties of economics and finance, with particular emphasis on problems in agricultural and resource economics, macroeconomics, and finance. The book also provides an extensive Web-site library of computer utilities and demonstration programs. The book is divided into two parts. The first part develops basic numerical methods, including linear and nonlinear equation methods, complementarity methods, finite-dimensional optimization, numerical integration and differentiation, and function approximation. The second part presents methods for solving dynamic stochastic models in economics and finance, including dynamic programming, rational expectations, and arbitrage pricing models in discrete and continuous time. The book uses MATLAB to illustrate the algorithms and includes a utilities toolbox to help readers develop their own computational economics applications.

Statistics of Financial Markets

Author : Jürgen Franke
Publisher : Springer
ISBN 13 : 3642545394
Total Pages : 558 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Statistics of Financial Markets by : Jürgen Franke

Download or read book Statistics of Financial Markets written by Jürgen Franke and published by Springer. This book was released on 2015-02-02 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fourth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods of evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to given problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic. For this new edition the book has been updated and extensively revised and now includes several new aspects, e.g. new chapters on long memory models, copulae and CDO valuation. Practical exercises with solutions have also been added. Both R and Matlab Code, together with the data, can be downloaded from the book’s product page and www.quantlet.de

Forecasting Volatility in the Financial Markets

Author : Stephen Satchell
Publisher : Elsevier
ISBN 13 : 0080494978
Total Pages : 417 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Forecasting Volatility in the Financial Markets by : Stephen Satchell

Download or read book Forecasting Volatility in the Financial Markets written by Stephen Satchell and published by Elsevier. This book was released on 2002-08-22 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Forecasting Volatility in the Financial Markets' assumes that the reader has a firm grounding in the key principles and methods of understanding volatility measurement and builds on that knowledge to detail cutting edge modelling and forecasting techniques. It then uses a technical survey to explain the different ways to measure risk and define the different models of volatility and return.The editors have brought together a set of contributors that give the reader a firm grounding in relevant theory and research and an insight into the cutting edge techniques applied in this field of the financial markets.This book is of particular relevance to anyone who wants to understand dynamic areas of the financial markets.* Traders will profit by learning to arbitrage opportunities and modify their strategies to account for volatility.* Investment managers will be able to enhance their asset allocation strategies with an improved understanding of likely risks and returns.* Risk managers will understand how to improve their measurement systems and forecasts, enhancing their risk management models and controls.* Derivative specialists will gain an in-depth understanding of volatility that they can use to improve their pricing models.* Students and academics will find the collection of papers an invaluable overview of this field.This book is of particular relevance to those wanting to understand the dynamic areas of volatility modeling and forecasting of the financial marketsProvides the latest research and techniques for Traders, Investment Managers, Risk Managers and Derivative Specialists wishing to manage their downside risk exposure Current research on the key forecasting methods to use in risk management, including two new chapters

Numerical Methods and Applications

Author : Lirkov Ivan Dimov
Publisher : Springer
ISBN 13 : 3642184669
Total Pages : 524 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Methods and Applications by : Lirkov Ivan Dimov

Download or read book Numerical Methods and Applications written by Lirkov Ivan Dimov and published by Springer. This book was released on 2011-01-27 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited papers were carefully reviewed and selected from numerous submissions for inclusion in this book. The papers are organized in topical sections on Monte Carlo and quasi-Monte Carlo methods, environmental modeling, grid computing and applications, metaheuristics for optimization problems, and modeling and simulation of electrochemical processes.

Implementing Models of Financial Derivatives

Author : Nick Webber
Publisher : John Wiley & Sons
ISBN 13 : 0470661844
Total Pages : 772 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Implementing Models of Financial Derivatives by : Nick Webber

Download or read book Implementing Models of Financial Derivatives written by Nick Webber and published by John Wiley & Sons. This book was released on 2011-09-07 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Implementing Models of Financial Derivatives is a comprehensive treatment of advanced implementation techniques in VBA for models of financial derivatives. Aimed at readers who are already familiar with the basics of VBA it emphasizes a fully object oriented approach to valuation applications, chiefly in the context of Monte Carlo simulation but also more broadly for lattice and PDE methods. Its unique approach to valuation, emphasizing effective implementation from both the numerical and the computational perspectives makes it an invaluable resource. The book comes with a library of almost a hundred Excel spreadsheets containing implementations of all the methods and models it investigates, including a large number of useful utility procedures. Exercises structured around four application streams supplement the exposition in each chapter, taking the reader from basic procedural level programming up to high level object oriented implementations. Written in eight parts, parts 1-4 emphasize application design in VBA, focused around the development of a plain Monte Carlo application. Part 5 assesses the performance of VBA for this application, and the final 3 emphasize the implementation of a fast and accurate Monte Carlo method for option valuation. Key topics include: ?Fully polymorphic factories in VBA; ?Polymorphic input and output using the TextStream and FileSystemObject objects; ?Valuing a book of options; ?Detailed assessment of the performance of VBA data structures; ?Theory, implementation, and comparison of the main Monte Carlo variance reduction methods; ?Assessment of discretization methods and their application to option valuation in models like CIR and Heston; ?Fast valuation of Bermudan options by Monte Carlo. Fundamental theory and implementations of lattice and PDE methods are presented in appendices and developed through the book in the exercise streams. Spanning the two worlds of academic theory and industrial practice, this book is not only suitable as a classroom text in VBA, in simulation methods, and as an introduction to object oriented design, it is also a reference for model implementers and quants working alongside derivatives groups. Its implementations are a valuable resource for students, teachers and developers alike. Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.

Professional Financial Computing Using Excel and VBA

Author : Donny C. F. Lai
Publisher : John Wiley & Sons
ISBN 13 : 1118179080
Total Pages : 372 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Professional Financial Computing Using Excel and VBA by : Donny C. F. Lai

Download or read book Professional Financial Computing Using Excel and VBA written by Donny C. F. Lai and published by John Wiley & Sons. This book was released on 2011-12-28 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Professional Financial Computing Using Excel and VBA is an admirable exposition that bridges the theoretical underpinnings of financial engineering and its application which usually appears as a "black-box" software application. The book opens the black-box and reveals the architecture of risk-modeling and financial engineering based on industry-standard stochastic models by utilizing Excel and VBA functionality to create a robust and practical modeling tool-kit. Financial engineering professionals who purchase this book will have a jumpstart advantage for their customized financial engineering and modeling needs." Dr. Cameron Wicentowich Vice President, Treasury Analytics Canadian Imperial Bank of Commerce (CIBC) "Spreadsheet modeling for finance has become a standard course in the curriculum of many Quantitative Finance programs since the Excel-based Visual Basic programming is now widely used in constructing optimal portfolios, pricing structured products and managing risks. Professional Financial Computing Using Excel and VBA is written by a unique team of finance, physics and computer academics and practitioners. It is a good reference for those who are studying for a Masters degree in Financial Engineering and Risk Management. It can also be useful for financial engineers to jump-start a project on designing structured products, modeling interest term structure or credit risks." Dr. Jin Zhang Director of Master of Finance Program and Associate Professor The University of Hong Kong "Excel has been one of the most powerful tools for financial planning and computing over the last few years. Most users utilize a fraction of its capabilities. One of the reasons is the limited availability of books that cover the advanced features of Excel for Finance. Professional Financial Computing Using Excel and VBA goes the extra mile and deals with the Excel tools many professionals call for. This book is a must for professionals or students dealing with financial engineering, financial risk management, computational finance or mathematical finance. I loved the way the authors covered the material using real life, hands-on examples." Dr. Isaac Gottlieb Temple University Author, Next Generation Excel: Modeling in Excel for Analysts and MBAs