Partial Derivative Approach For Option Pricing In A Simple Stochastic Volatility Model

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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.

Mathematical Modeling and Methods of Option Pricing

Author : Lishang Jiang
Publisher : World Scientific
ISBN 13 : 9812563695
Total Pages : 344 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Mathematical Modeling and Methods of Option Pricing by : Lishang Jiang

Download or read book Mathematical Modeling and Methods of Option Pricing written by Lishang Jiang and published by World Scientific. This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.

PDE and Martingale Methods in Option Pricing

Author : Andrea Pascucci
Publisher : Springer Science & Business Media
ISBN 13 : 8847017815
Total Pages : 727 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis PDE and Martingale Methods in Option Pricing by : Andrea Pascucci

Download or read book PDE and Martingale Methods in Option Pricing written by Andrea Pascucci and published by Springer Science & Business Media. This book was released on 2011-04-15 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background. The first part contains a presentation of the arbitrage theory in discrete time. In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling. The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform.

Derivatives in Financial Markets with Stochastic Volatility

Author : Jean-Pierre Fouque
Publisher : Cambridge University Press
ISBN 13 : 9780521791632
Total Pages : 222 pages
Book Rating : 4.7/5 (916 download)

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Book Synopsis Derivatives in Financial Markets with Stochastic Volatility by : Jean-Pierre Fouque

Download or read book Derivatives in Financial Markets with Stochastic Volatility written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2000-07-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, addresses pricing and hedging derivative securities in uncertain and changing market volatility.

Option Pricing and Estimation of Financial Models with R

Author : Stefano M. Iacus
Publisher : John Wiley & Sons
ISBN 13 : 1119990203
Total Pages : 402 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Option Pricing and Estimation of Financial Models with R by : Stefano M. Iacus

Download or read book Option Pricing and Estimation of Financial Models with R written by Stefano M. Iacus and published by John Wiley & Sons. This book was released on 2011-02-23 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.

Applied and Numerical Partial Differential Equations

Author : W. Fitzgibbon
Publisher : Springer Science & Business Media
ISBN 13 : 9048132398
Total Pages : 252 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Applied and Numerical Partial Differential Equations by : W. Fitzgibbon

Download or read book Applied and Numerical Partial Differential Equations written by W. Fitzgibbon and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.

Stochastic volatility and the pricing of financial derivatives

Author : Antoine Petrus Cornelius van der Ploeg
Publisher : Rozenberg Publishers
ISBN 13 : 9051705778
Total Pages : 358 pages
Book Rating : 4.0/5 (517 download)

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Book Synopsis Stochastic volatility and the pricing of financial derivatives by : Antoine Petrus Cornelius van der Ploeg

Download or read book Stochastic volatility and the pricing of financial derivatives written by Antoine Petrus Cornelius van der Ploeg and published by Rozenberg Publishers. This book was released on 2006 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Novel Methods in Computational Finance

Author : Matthias Ehrhardt
Publisher : Springer
ISBN 13 : 3319612824
Total Pages : 599 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Novel Methods in Computational Finance by : Matthias Ehrhardt

Download or read book Novel Methods in Computational Finance written by Matthias Ehrhardt and published by Springer. This book was released on 2017-09-19 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the state-of-the-art and open problems in computational finance. It presents a collection of research outcomes and reviews of the work from the STRIKE project, an FP7 Marie Curie Initial Training Network (ITN) project in which academic partners trained early-stage researchers in close cooperation with a broader range of associated partners, including from the private sector. The aim of the project was to arrive at a deeper understanding of complex (mostly nonlinear) financial models and to develop effective and robust numerical schemes for solving linear and nonlinear problems arising from the mathematical theory of pricing financial derivatives and related financial products. This was accomplished by means of financial modelling, mathematical analysis and numerical simulations, optimal control techniques and validation of models. In recent years the computational complexity of mathematical models employed in financial mathematics has witnessed tremendous growth. Advanced numerical techniques are now essential to the majority of present-day applications in the financial industry. Special attention is devoted to a uniform methodology for both testing the latest achievements and simultaneously educating young PhD students. Most of the mathematical codes are linked into a novel computational finance toolbox, which is provided in MATLAB and PYTHON with an open access license. The book offers a valuable guide for researchers in computational finance and related areas, e.g. energy markets, with an interest in industrial mathematics.

Handbook of the Economics of Finance

Author : G. Constantinides
Publisher : Elsevier
ISBN 13 : 9780444513632
Total Pages : 698 pages
Book Rating : 4.5/5 (136 download)

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Book Synopsis Handbook of the Economics of Finance by : G. Constantinides

Download or read book Handbook of the Economics of Finance written by G. Constantinides and published by Elsevier. This book was released on 2003-11-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrage, State Prices and Portfolio Theory / Philip h. Dybvig and Stephen a. Ross / - Intertemporal Asset Pricing Theory / Darrell Duffle / - Tests of Multifactor Pricing Models, Volatility Bounds and Portfolio Performance / Wayne E. Ferson / - Consumption-Based Asset Pricing / John y Campbell / - The Equity Premium in Retrospect / Rainish Mehra and Edward c. Prescott / - Anomalies and Market Efficiency / William Schwert / - Are Financial Assets Priced Locally or Globally? / G. Andrew Karolyi and Rene M. Stuli / - Microstructure and Asset Pricing / David Easley and Maureen O'hara / - A Survey of Behavioral Finance / Nicholas Barberis and Richard Thaler / - Derivatives / Robert E. Whaley / - Fixed-Income Pricing / Qiang Dai and Kenneth J. Singleton.

Problems and Solutions in Mathematical Finance, Volume 2

Author : Eric Chin
Publisher : John Wiley & Sons
ISBN 13 : 1119966108
Total Pages : 860 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Problems and Solutions in Mathematical Finance, Volume 2 by : Eric Chin

Download or read book Problems and Solutions in Mathematical Finance, Volume 2 written by Eric Chin and published by John Wiley & Sons. This book was released on 2017-01-04 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.

Recent Advances in Financial Engineering

Author : Masaaki Kijima
Publisher : World Scientific
ISBN 13 : 9814273473
Total Pages : 243 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Recent Advances in Financial Engineering by : Masaaki Kijima

Download or read book Recent Advances in Financial Engineering written by Masaaki Kijima and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2008 Daiwa International Workshop on Financial Engineering held in Tokyo. The annual workshop is sponsored by the Daiwa Securities Group, and serves as a bridge between leading academics and practitioners in the field. This year, the papers presented at the workshop have been refereed and published in a single volume to commemorate the 60th birthday of Professor Yuri Kabanov, and to thank him for his contributions to the progress of mathematical finance in general, and the Daiwa International Workshop in particular. The book caters to academics and practitioners as well as graduate and postgraduate students of financial engineering. Quantitative researchers on financial markets will also find it a useful resource.

Partial Differential Equations: Theory, Control and Approximation

Author : Philippe G. Ciarlet
Publisher : Springer Science & Business Media
ISBN 13 : 364241401X
Total Pages : 431 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Partial Differential Equations: Theory, Control and Approximation by : Philippe G. Ciarlet

Download or read book Partial Differential Equations: Theory, Control and Approximation written by Philippe G. Ciarlet and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that Jacques-Louis Lions created or contributed so much to establishing.

Handbook of Quantitative Finance and Risk Management

Author : Cheng-Few Lee
Publisher : Springer Science & Business Media
ISBN 13 : 0387771174
Total Pages : 1700 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Handbook of Quantitative Finance and Risk Management by : Cheng-Few Lee

Download or read book Handbook of Quantitative Finance and Risk Management written by Cheng-Few Lee and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 1700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative finance is a combination of economics, accounting, statistics, econometrics, mathematics, stochastic process, and computer science and technology. Increasingly, the tools of financial analysis are being applied to assess, monitor, and mitigate risk, especially in the context of globalization, market volatility, and economic crisis. This two-volume handbook, comprised of over 100 chapters, is the most comprehensive resource in the field to date, integrating the most current theory, methodology, policy, and practical applications. Showcasing contributions from an international array of experts, the Handbook of Quantitative Finance and Risk Management is unparalleled in the breadth and depth of its coverage. Volume 1 presents an overview of quantitative finance and risk management research, covering the essential theories, policies, and empirical methodologies used in the field. Chapters provide in-depth discussion of portfolio theory and investment analysis. Volume 2 covers options and option pricing theory and risk management. Volume 3 presents a wide variety of models and analytical tools. Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices. From "arbitrage" to "yield spreads," the Handbook of Quantitative Finance and Risk Management will serve as an essential resource for academics, educators, students, policymakers, and practitioners.

Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives

Author : Jean-Pierre Fouque
Publisher : Cambridge University Press
ISBN 13 : 113950245X
Total Pages : 456 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives by : Jean-Pierre Fouque

Download or read book Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2011-09-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building upon the ideas introduced in their previous book, Derivatives in Financial Markets with Stochastic Volatility, the authors study the pricing and hedging of financial derivatives under stochastic volatility in equity, interest-rate, and credit markets. They present and analyze multiscale stochastic volatility models and asymptotic approximations. These can be used in equity markets, for instance, to link the prices of path-dependent exotic instruments to market implied volatilities. The methods are also used for interest rate and credit derivatives. Other applications considered include variance-reduction techniques, portfolio optimization, forward-looking estimation of CAPM 'beta', and the Heston model and generalizations of it. 'Off-the-shelf' formulas and calibration tools are provided to ease the transition for practitioners who adopt this new method. The attention to detail and explicit presentation make this also an excellent text for a graduate course in financial and applied mathematics.

An Introduction to the Mathematics of Financial Derivatives

Author : Ali Hirsa
Publisher : Academic Press
ISBN 13 : 0123846838
Total Pages : 456 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis An Introduction to the Mathematics of Financial Derivatives by : Ali Hirsa

Download or read book An Introduction to the Mathematics of Financial Derivatives written by Ali Hirsa and published by Academic Press. This book was released on 2013-12-18 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. - Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning - Presented intuitively, breaking up complex mathematics concepts into easily understood notions - Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

Essays on the Future

Author : Siegfried Hecker
Publisher : Springer Science & Business Media
ISBN 13 : 1461207770
Total Pages : 284 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Essays on the Future by : Siegfried Hecker

Download or read book Essays on the Future written by Siegfried Hecker and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection represents a unique undertaking in scientific publishing to honor Nick Metropolis, the last survivor of the World War II Manhattan Project in Los Alamos. In this volume, some of the leading scientists and humanists of our time have contributed essays related to their respective disciplines, exploring various aspects of future developments in science and society, philosophy, national security, nuclear power, pure and applied mathematics, physics and biology, particle physics, computing, and information science.

Introduction to Stochastic Finance with Market Examples

Author : Nicolas Privault
Publisher : CRC Press
ISBN 13 : 1000778959
Total Pages : 663 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Introduction to Stochastic Finance with Market Examples by : Nicolas Privault

Download or read book Introduction to Stochastic Finance with Market Examples written by Nicolas Privault and published by CRC Press. This book was released on 2022-12-13 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Stochastic Finance with Market Examples, Second Edition presents an introduction to pricing and hedging in discrete and continuous-time financial models, emphasizing both analytical and probabilistic methods. It demonstrates both the power and limitations of mathematical models in finance, covering the basics of stochastic calculus for finance, and details the techniques required to model the time evolution of risky assets. The book discusses a wide range of classical topics including Black–Scholes pricing, American options, derivatives, term structure modeling, and change of numéraire. It also builds up to special topics, such as exotic options, stochastic volatility, and jump processes. New to this Edition New chapters on Barrier Options, Lookback Options, Asian Options, Optimal Stopping Theorem, and Stochastic Volatility Contains over 235 exercises and 16 problems with complete solutions available online from the instructor resources Added over 150 graphs and figures, for more than 250 in total, to optimize presentation 57 R coding examples now integrated into the book for implementation of the methods Substantially class-tested, so ideal for course use or self-study With abundant exercises, problems with complete solutions, graphs and figures, and R coding examples, the book is primarily aimed at advanced undergraduate and graduate students in applied mathematics, financial engineering, and economics. It could be used as a course text or for self-study and would also be a comprehensive and accessible reference for researchers and practitioners in the field.