Analytic Approximations For The Valuation Of American Options

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The Heston Model and its Extensions in Matlab and C#

Author : Fabrice D. Rouah
Publisher : John Wiley & Sons
ISBN 13 : 1118695178
Total Pages : 437 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis The Heston Model and its Extensions in Matlab and C# by : Fabrice D. Rouah

Download or read book The Heston Model and its Extensions in Matlab and C# written by Fabrice D. Rouah and published by John Wiley & Sons. This book was released on 2013-08-01 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tap into the power of the most popular stochastic volatility model for pricing equity derivatives Since its introduction in 1993, the Heston model has become a popular model for pricing equity derivatives, and the most popular stochastic volatility model in financial engineering. This vital resource provides a thorough derivation of the original model, and includes the most important extensions and refinements that have allowed the model to produce option prices that are more accurate and volatility surfaces that better reflect market conditions. The book's material is drawn from research papers and many of the models covered and the computer codes are unavailable from other sources. The book is light on theory and instead highlights the implementation of the models. All of the models found here have been coded in Matlab and C#. This reliable resource offers an understanding of how the original model was derived from Ricatti equations, and shows how to implement implied and local volatility, Fourier methods applied to the model, numerical integration schemes, parameter estimation, simulation schemes, American options, the Heston model with time-dependent parameters, finite difference methods for the Heston PDE, the Greeks, and the double Heston model. A groundbreaking book dedicated to the exploration of the Heston model—a popular model for pricing equity derivatives Includes a companion website, which explores the Heston model and its extensions all coded in Matlab and C# Written by Fabrice Douglas Rouah a quantitative analyst who specializes in financial modeling for derivatives for pricing and risk management Engaging and informative, this is the first book to deal exclusively with the Heston Model and includes code in Matlab and C# for pricing under the model, as well as code for parameter estimation, simulation, finite difference methods, American options, and more.

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.

Derivatives, Risk Management & Value

Author : Mondher Bellalah
Publisher : World Scientific
ISBN 13 : 9812838635
Total Pages : 996 pages
Book Rating : 4.8/5 (128 download)

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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.

An Introduction to Financial Option Valuation

Author : Desmond J. Higham
Publisher : Cambridge University Press
ISBN 13 : 1139457896
Total Pages : 300 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis An Introduction to Financial Option Valuation by : Desmond J. Higham

Download or read book An Introduction to Financial Option Valuation written by Desmond J. Higham and published by Cambridge University Press. This book was released on 2004-04-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black–Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.

Computational Finance 1999

Author : Yaser S. Abu-Mostafa
Publisher : MIT Press
ISBN 13 : 9780262511070
Total Pages : 744 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis Computational Finance 1999 by : Yaser S. Abu-Mostafa

Download or read book Computational Finance 1999 written by Yaser S. Abu-Mostafa and published by MIT Press. This book was released on 2000 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. Computational finance, an exciting new cross-disciplinary research area, draws extensively on the tools and techniques of computer science, statistics, information systems, and financial economics. This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. These methods are applied to a wide range of problems in finance, including risk management, asset allocation, style analysis, dynamic trading and hedging, forecasting, and option pricing. The book is based on the sixth annual international conference Computational Finance 1999, held at New York University's Stern School of Business.

Operations Research Models in Quantitative Finance

Author : Rita L. D'Ecclesia
Publisher : Springer Science & Business Media
ISBN 13 : 3642469574
Total Pages : 271 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Operations Research Models in Quantitative Finance by : Rita L. D'Ecclesia

Download or read book Operations Research Models in Quantitative Finance written by Rita L. D'Ecclesia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles included in the volume cover a range of diverse topics linked by a common theme: the use of formal modelling techniques to promote better understanding of financial markets and improve management of financial operations. Apart from a theoretical discussion, most of the papers model validation or verification using market data. This collection of articles sets the framework for other studies that could link theory and practice.

Industrial Mathematics

Author : Mohan C. Joshi
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195778
Total Pages : 528 pages
Book Rating : 4.1/5 (957 download)

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Book Synopsis Industrial Mathematics by : Mohan C. Joshi

Download or read book Industrial Mathematics written by Mohan C. Joshi and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains results of recent research interests concerning solution strategies employed for solving real life problems pertaining to modelling and scientific computing, control and optimizations, and financial mathematics.

Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)

Author : Cheng Few Lee
Publisher : World Scientific
ISBN 13 : 9811202400
Total Pages : 5053 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) by : Cheng Few Lee

Download or read book Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) written by Cheng Few Lee and published by World Scientific. This book was released on 2020-07-30 with total page 5053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.

Quantitative Analysis In Financial Markets: Collected Papers Of The New York University Mathematical Finance Seminar

Author : Marco Avellaneda
Publisher : World Scientific
ISBN 13 : 9814495212
Total Pages : 387 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantitative Analysis In Financial Markets: Collected Papers Of The New York University Mathematical Finance Seminar by : Marco Avellaneda

Download or read book Quantitative Analysis In Financial Markets: Collected Papers Of The New York University Mathematical Finance Seminar written by Marco Avellaneda and published by World Scientific. This book was released on 1999-10-27 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains lectures delivered at the celebrated Seminar in Mathematical Finance at the Courant Institute. The lecturers and presenters of papers are prominent researchers and practitioners in the field of quantitative financial modeling. Most are faculty members at leading universities or Wall Street practitioners.The lectures deal with the emerging science of pricing and hedging derivative securities and, more generally, managing financial risk. Specific articles concern topics such as option theory, dynamic hedging, interest-rate modeling, portfolio theory, price forecasting using statistical methods, etc.

Understanding Options

Author : Rob Quail
Publisher : John Wiley & Sons
ISBN 13 : 9780471085546
Total Pages : 420 pages
Book Rating : 4.0/5 (855 download)

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Book Synopsis Understanding Options by : Rob Quail

Download or read book Understanding Options written by Rob Quail and published by John Wiley & Sons. This book was released on 1995-02-28 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: It's not hard to understand why options trading continues to growin popularity, especially among sophisticated investors with largestock portfolios. Options are a cheaper and therefore, inherentlyless risky way of speculating on the price movements of stocks orother under-lying goods, yet, due to their volatility, they providemore price action per dollar than do stocks. And, when traded inconjunction with stock portfolios, options can significantlyenhance an investor's ability to manipulate the risk and returncharacteristics of their entire investment. Yet, despite these andother advantages of options, many investors shy away from thishighly lucrative type of speculation because of the seemingimpenetrability of many of its underlying concepts and technicalprinciples. Now in a book that demystifies options for financial professionals,Professor Robert W. Kolb, one of the nation's leading authoritieson the subject, provides readers with a solid grounding in theprinciples and practices of options trading. An excellent resourcefor investors who need to quickly get up to speed in options,Understanding Options offers a balanced presentation that buildsswiftly from the most basic concepts and terms to advanced tradingstrategies and techniques. Written in plain English and filled withreal-life examples and case studies, it schools readers in: * All essential terms, concepts, principles, and practices * Popular trading techniques and their payoffs * Option strategies * Option hedging * Formal trading models, including the Binomial and Merton models * Options on stock indexes, foreign currency, and futures * Option pricing in both the American and European markets * The options approach to corporate securities * And much more Concise yet comprehensive, authoritative yet highly accessible,Understanding Options gives you everything you need to feel rightat home in the lucrative world of options. Comprehensive, practical, authoritative--the fastest, mostaccessible route to the lucrative world of options From the basics of what an option is to advanced techniques forprofiting from options in a variety of markets, UnderstandingOptions covers all the bases. Written by a leading internationalauthority on options trading, this practical, hands-on guide offersdetailed, step-by-step coverage of option trading techniques andtheir payoffs, option strategies, European and American optionpricing, option hedging, and much more. It also explores options onstock indexes, foreign currency, and futures, and takes a closelook at the options approach to corporate securities. A concise, yet comprehensive, introduction to options for financialprofessionals * Gets you quickly up and running with all the essential knowledgeyou need to break into the options markets * Featuring a balanced presentation that moves swiftly from basicterms and concepts to advanced trading models * Packed with easy-to-follow examples and case studies that lucidlyillustrate all points covered

Computational Finance

Author : George Levy
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750657228
Total Pages : 474 pages
Book Rating : 4.6/5 (572 download)

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Book Synopsis Computational Finance by : George Levy

Download or read book Computational Finance written by George Levy and published by Butterworth-Heinemann. This book was released on 2004-01-27 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM contains ... "working computer code, demonstration applications, and also PDF versions of several research articles that are referred to in the book." -- d.j.

Numerical Methods in Finance

Author : L. C. G. Rogers
Publisher : Cambridge University Press
ISBN 13 : 9780521573542
Total Pages : 348 pages
Book Rating : 4.5/5 (735 download)

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Book Synopsis Numerical Methods in Finance by : L. C. G. Rogers

Download or read book Numerical Methods in Finance written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 1997-06-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Finance describes a wide variety of numerical methods used in financial analysis.

Computational Finance Using C and C#

Author : George Levy
Publisher : Academic Press
ISBN 13 : 0080878075
Total Pages : 385 pages
Book Rating : 4.0/5 (88 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 2008-06-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Finance Using C and C# raises computational finance to the next level using the languages of both standard C and C#. The inclusion of both these languages enables readers to match their use of the book to their firm's internal software and code requirements. The book also provides derivatives pricing information for equity derivates (vanilla options, quantos, generic equity basket options); interest rate derivatives (FRAs, swaps, quantos); foreign exchange derivatives (FX forwards, FX options); and credit derivatives (credit default swaps, defaultable bonds, total return swaps).This book is organized into 8 chapters, beginning with an overview of financial derivatives followed by an introduction to stochastic processes. The discussion then shifts to generation of random variates; European options; single asset American options; multi-asset options; other financial derivatives; and C# portfolio pricing application. The text is supported by a multi-tier website which enables purchasers of the book to download free software, which includes executable files, configuration files, and results files. With these files the user can run the C# portfolio pricing application and change the portfolio composition and the attributes of the deals.This book will be of interest to financial engineers and analysts as well as numerical analysts in banking, insurance, and corporate finance. - Illustrates the use of C# design patterns, including dictionaries, abstract classes, and .NET InteropServices

Currency Derivatives

Author : David F. DeRosa
Publisher : John Wiley & Sons
ISBN 13 : 9780471252672
Total Pages : 414 pages
Book Rating : 4.2/5 (526 download)

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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)

Tools for Computational Finance

Author : Rüdiger U. Seydel
Publisher : Springer Science & Business Media
ISBN 13 : 1447129938
Total Pages : 440 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Tools for Computational Finance by : Rüdiger U. Seydel

Download or read book Tools for Computational Finance written by Rüdiger U. Seydel and published by Springer Science & Business Media. This book was released on 2012-03-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The disciplines of financial engineering and numerical computation differ greatly, however computational methods are used in a number of ways across the field of finance. It is the aim of this book to explain how such methods work in financial engineering; specifically the use of numerical methods as tools for computational finance. By concentrating on the field of option pricing, a core task of financial engineering and risk analysis, this book explores a wide range of computational tools in a coherent and focused manner and will be of use to the entire field of computational finance. Starting with an introductory chapter that presents the financial and stochastic background, the remainder of the book goes on to detail computational methods using both stochastic and deterministic approaches. Now in its fifth edition, Tools for Computational Finance has been significantly revised and contains: A new chapter on incomplete markets which links to new appendices on Viscosity solutions and the Dupire equation; Several new parts throughout the book such as that on the calculation of sensitivities (Sect. 3.7) and the introduction of penalty methods and their application to a two-factor model (Sect. 6.7) Additional material in the field of analytical methods including Kim’s integral representation and its computation Guidelines for comparing algorithms and judging their efficiency An extended chapter on finite elements that now includes a discussion of two-asset options Additional exercises, figures and references Written from the perspective of an applied mathematician, methods are introduced as tools within the book for immediate and straightforward application. A ‘learning by calculating’ approach is adopted throughout this book enabling readers to explore several areas of the financial world. Interdisciplinary in nature, this book will appeal to advanced undergraduate students in mathematics, engineering and other scientific disciplines as well as professionals in financial engineering.