Computational Financial Mathematics Using Mathematica
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Computational Financial Mathematics Using Mathematica
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Author : Srdjan Stojanovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-04
Computational Financial Mathematics Using Mathematica written by Srdjan Stojanovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-04 with Business & Economics categories.
Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry. Mathematical advances have been made both analytically and numerically in finding practical solutions. This book provides a comprehensive overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. Sophisticated theories are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte-- Carlo. Nowadays, only good personal computers are required to handle the symbolic and numerical methods that are developed in this book. Key features: * No previous knowledge of Mathematica programming is required * The symbolic, numeric, data management and graphic capabilities of Mathematica are fully utilized * Monte--Carlo solutions of scalar and multivariable SDEs are developed and utilized heavily in discussing trading issues such as Black--Scholes hedging * Black--Scholes and Dupire PDEs are solved symbolically and numerically * Fast numerical solutions to free boundary problems with details of their Mathematica realizations are provided * Comprehensive study of optimal portfolio diversification, including an original theory of optimal portfolio hedging under non-Log-Normal asset price dynamics is presented The book is designed for the academic community of instructors and students, and most importantly, will meet the everyday trading needs of quantitatively inclined professional and individual investors.
Computational Financial Mathematics Using Mathematica
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Author : Srdjan Stojanovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Financial Mathematics Using Mathematica written by Srdjan Stojanovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry. Mathematical advances have been made both analytically and numerically in finding practical solutions. This book provides a comprehensive overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. Sophisticated theories are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte-- Carlo. Nowadays, only good personal computers are required to handle the symbolic and numerical methods that are developed in this book. Key features: * No previous knowledge of Mathematica programming is required * The symbolic, numeric, data management and graphic capabilities of Mathematica are fully utilized * Monte--Carlo solutions of scalar and multivariable SDEs are developed and utilized heavily in discussing trading issues such as Black--Scholes hedging * Black--Scholes and Dupire PDEs are solved symbolically and numerically * Fast numerical solutions to free boundary problems with details of their Mathematica realizations are provided * Comprehensive study of optimal portfolio diversification, including an original theory of optimal portfolio hedging under non-Log-Normal asset price dynamics is presented The book is designed for the academic community of instructors and students, and most importantly, will meet the everyday trading needs of quantitatively inclined professional and individual investors.
Computational Financial Mathematics Using Mathematica
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Author : Srdjan Stojanovic
language : en
Publisher: Springer
Release Date : 2019-05-09
Computational Financial Mathematics Using Mathematica written by Srdjan Stojanovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.
This second edition presents an applied approach to financial mathematics and provides an overview of existing and original material. Sophisticated theories are presented systematically in a user-friendly style which promotes a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte--Carlo. This new comprehensive study guide presents several additional financial problems that can be directly applied in the field, i.e., Integral-PDE Dupire equations, inverse problems, 3-D numerical pricing equations, obstacle problems, optimal portfolio problem for momentum markets. The book is intended for instructors and graduate students interested in financial mathematics as well as mathematically inclined investors and traders who rely on cash, stocks, and stock options on a regular basis.
Computational Financial Mathematics Using Mathematica
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Author : Srdjan Stojanovic
language : en
Publisher: Birkhauser
Release Date : 2003
Computational Financial Mathematics Using Mathematica written by Srdjan Stojanovic and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.
CD-ROM contains: Electronic version of text, with executabile code and color pictures.
Introduction To Quantitative Methods For Financial Markets
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Author : Hansjoerg Albrecher
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-28
Introduction To Quantitative Methods For Financial Markets written by Hansjoerg Albrecher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.
Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special emphasis on aspects relevant in practice. In addition to numerous illustrative examples, algorithmic implementations are demonstrated using "Mathematica" and the software package "UnRisk" (available for both students and teachers). The content is organized in 15 chapters that can be treated as independent modules. In particular, the exposition is tailored for classroom use in a Bachelor or Master program course, as well as for practitioners who wish to further strengthen their quantitative background.
Tools For Computational Finance
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Author : Rüdiger U. Seydel
language : en
Publisher: Springer
Release Date : 2017-08-17
Tools For Computational Finance written by Rüdiger U. Seydel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-17 with Mathematics categories.
Computational and numerical 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. 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 anyone working in computational finance. Starting with an introductory chapter that presents the financial and stochastic background, the book goes on to detail computational methods using both stochastic and deterministic approaches. Now in its sixth edition, Tools for Computational Finance has been significantly revised and contains: Several new parts such as a section on extended applications of tree methods, including multidimensional trees, trinomial trees, and the handling of dividends; Additional material in the field of generating normal variates with acceptance-rejection methods, and on Monte Carlo methods; 115 exercises, and more than 100 figures, many in color. Written from the perspective of an applied mathematician, all methods are introduced 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 and graduate students in mathematics, engineering, and other scientific disciplines as well as professionals in financial engineering.
Mathematica Cookbook
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Author : Sal Mangano
language : en
Publisher: "O'Reilly Media, Inc."
Release Date : 2010-04-02
Mathematica Cookbook written by Sal Mangano and has been published by "O'Reilly Media, Inc." this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Computers categories.
Mathematica Cookbook helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools, image processing, and music. Although Mathematica 7 is a highly advanced computational platform, the recipes in this book make it accessible to everyone -- whether you're working on high school algebra, simple graphs, PhD-level computation, financial analysis, or advanced engineering models. Learn how to use Mathematica at a higher level with functional programming and pattern matching Delve into the rich library of functions for string and structured text manipulation Learn how to apply the tools to physics and engineering problems Draw on Mathematica's access to physics, chemistry, and biology data Get techniques for solving equations in computational finance Learn how to use Mathematica for sophisticated image processing Process music and audio as musical notes, analog waveforms, or digital sound samples
Advances In Applied Mathematics And Global Optimization
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Author : David Y. Gao
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-09
Advances In Applied Mathematics And Global Optimization written by David Y. Gao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-09 with Mathematics categories.
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
A First Course In Quantitative Finance
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Author : Thomas Mazzoni
language : en
Publisher: Cambridge University Press
Release Date : 2018-03-29
A First Course In Quantitative Finance written by Thomas Mazzoni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Business & Economics categories.
Using stereoscopic images and other novel pedagogical features, this book offers a comprehensive introduction to quantitative finance.
Brownian Motion Calculus
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Author : Ubbo F. Wiersema
language : en
Publisher: John Wiley & Sons
Release Date : 2008-08-06
Brownian Motion Calculus written by Ubbo F. Wiersema and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-06 with Business & Economics categories.
Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website.