Analytical and Numerical Methods for Pricing Financial Derivatives PDF Download
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Author: Daniel Sevcovic
Publisher:
ISBN: 9781617287800
Category : Derivative securities
Languages : en
Pages : 0
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Book Description
This book presents the reader with basic facts and knowledge of pricing financial derivatives. Also discussed herein is the qualitative analysis and practical methods of their pricing. The extensive expansion of various financial derivatives dates back to the beginning of seventies. The analysis of derivative securities was motivated by pioneering works due to economists Myron Scholes and Robert Merton and the theoretical physicist Fisher Black. They derived and analysed a pricing model nowadays referred to as the Black--Scholes model. The approach was indeed revolutionary as it brought the method of pricing derivative securities by means of solutions to partial differential equations.
Author: Daniel Sevcovic
Publisher:
ISBN: 9781617287800
Category : Derivative securities
Languages : en
Pages : 0
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Book Description
This book presents the reader with basic facts and knowledge of pricing financial derivatives. Also discussed herein is the qualitative analysis and practical methods of their pricing. The extensive expansion of various financial derivatives dates back to the beginning of seventies. The analysis of derivative securities was motivated by pioneering works due to economists Myron Scholes and Robert Merton and the theoretical physicist Fisher Black. They derived and analysed a pricing model nowadays referred to as the Black--Scholes model. The approach was indeed revolutionary as it brought the method of pricing derivative securities by means of solutions to partial differential equations.
Author: You-lan Zhu
Publisher: Springer Science & Business Media
ISBN: 1461473063
Category : Mathematics
Languages : en
Pages : 663
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Book Description
This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts. In the first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE boundary value problems for different sets of derivative products (vanilla and exotic options, and interest rate derivatives). For many option problems, the analytic solutions are also derived with details. The second part is devoted to explaining and analyzing the application of finite differences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products with early exercise feature) linear complementarity and free boundary problems. In each chapter, the techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook for graduate students following a mathematical finance program as well as a valuable reference for those researchers working in numerical methods in financial derivatives. For this new edition, the book has been updated throughout with many new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are provided and the proof of solution-uniqueness of derivative security problems and the complete stability analysis of numerical methods for two-dimensional problems are added. Review of first edition: “...the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS
Author: Yue-Kuen Kwok
Publisher: Springer Science & Business Media
ISBN: 3540686886
Category : Mathematics
Languages : en
Pages : 541
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Book Description
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.
Author: Pierre Henry-Labordere
Publisher: CRC Press
ISBN: 1420087002
Category : Business & Economics
Languages : en
Pages : 403
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Book Description
Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th
Author: Salih N. Neftci
Publisher: Academic Press
ISBN: 0125153929
Category : Business & Economics
Languages : en
Pages : 550
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Book Description
A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.
Author: Daniel Sevcovic
Publisher:
ISBN: 9781617613500
Category : Derivative securities
Languages : en
Pages : 325
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Book Description
This book presents the reader with basic facts and knowledge of pricing financial derivatives. Also discussed herein is the qualitative analysis and practical methods of their pricing. The extensive expansion of various financial derivatives dates back to the beginning of seventies. The analysis of derivative securities was motivated by pioneering works due to economists Myron Scholes and Robert Merton and the theoretical physicist Fisher Black. They derived and analyzed a pricing model nowadays referred to as the BlackScholes model. The approach was indeed revolutionary as it brought the method of pricing derivative securities by means of solutions to partial differential equations.
Author: Michael C. Fu
Publisher: Springer Science & Business Media
ISBN: 0817645454
Category : Business & Economics
Languages : en
Pages : 345
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Book Description
This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.
Author: Norbert Hilber
Publisher: Springer Science & Business Media
ISBN: 3642354017
Category : Mathematics
Languages : en
Pages : 301
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Book Description
Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years. The present volume offers an introduction to deterministic algorithms for the fast and accurate pricing of derivative contracts in modern finance. This unified, non-Monte-Carlo computational pricing methodology is capable of handling rather general classes of stochastic market models with jumps, including, in particular, all currently used Lévy and stochastic volatility models. It allows us e.g. to quantify model risk in computed prices on plain vanilla, as well as on various types of exotic contracts. The algorithms are developed in classical Black-Scholes markets, and then extended to market models based on multiscale stochastic volatility, to Lévy, additive and certain classes of Feller processes. This book is intended for graduate students and researchers, as well as for practitioners in the fields of quantitative finance and applied and computational mathematics with a solid background in mathematics, statistics or economics.
Author: Yves Hilpisch
Publisher: John Wiley & Sons
ISBN: 1119037999
Category : Business & Economics
Languages : en
Pages : 390
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Book Description
Supercharge options analytics and hedging using the power of Python Derivatives Analytics with Python shows you how to implement market-consistent valuation and hedging approaches using advanced financial models, efficient numerical techniques, and the powerful capabilities of the Python programming language. This unique guide offers detailed explanations of all theory, methods, and processes, giving you the background and tools necessary to value stock index options from a sound foundation. You'll find and use self-contained Python scripts and modules and learn how to apply Python to advanced data and derivatives analytics as you benefit from the 5,000+ lines of code that are provided to help you reproduce the results and graphics presented. Coverage includes market data analysis, risk-neutral valuation, Monte Carlo simulation, model calibration, valuation, and dynamic hedging, with models that exhibit stochastic volatility, jump components, stochastic short rates, and more. The companion website features all code and IPython Notebooks for immediate execution and automation. Python is gaining ground in the derivatives analytics space, allowing institutions to quickly and efficiently deliver portfolio, trading, and risk management results. This book is the finance professional's guide to exploiting Python's capabilities for efficient and performing derivatives analytics. Reproduce major stylized facts of equity and options markets yourself Apply Fourier transform techniques and advanced Monte Carlo pricing Calibrate advanced option pricing models to market data Integrate advanced models and numeric methods to dynamically hedge options Recent developments in the Python ecosystem enable analysts to implement analytics tasks as performing as with C or C++, but using only about one-tenth of the code or even less. Derivatives Analytics with Python — Data Analysis, Models, Simulation, Calibration and Hedging shows you what you need to know to supercharge your derivatives and risk analytics efforts.
Author: Domingo Tavella
Publisher: John Wiley & Sons
ISBN: 0471274798
Category : Business & Economics
Languages : en
Pages : 304
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Book Description
This book presents a cogent description of the main methodologies used in derivatives pricing. Starting with a summary of the elements of Stochastic Calculus, Quantitative Methods in Derivatives Pricing develops the fundamental tools of financial engineering, such as scenario generation, simulation for European instruments, simulation for American instruments, and finite differences in an intuitive and practical manner, with an abundance of practical examples and case studies. Intended primarily as an introductory graduate textbook in computational finance, this book will also serve as a reference for practitioners seeking basic information on alternative pricing methodologies. Domingo Tavella is President of Octanti Associates, a consulting firm in risk management and financial systems design. He is the founder and chief editor of the Journal of Computational Finance and has pioneered the application of advanced numerical techniques in pricing and risk analysis in the financial and insurance industries. Tavella coauthored Pricing Financial Instruments: The Finite Difference Method. He holds a PhD in aeronautical engineering from Stanford University and an MBA in finance from the University of California at Berkeley.
