Mathematics And Tools For Financial Engineering

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Mathematics and Tools for Financial Engineering

Author : Petros A. Ioannou
Publisher : SIAM
ISBN 13 : 1611976766
Total Pages : 294 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematics and Tools for Financial Engineering by : Petros A. Ioannou

Download or read book Mathematics and Tools for Financial Engineering written by Petros A. Ioannou and published by SIAM. This book was released on 2021-09-07 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an overview of fundamental concepts in mathematics and how they are applied to basic financial engineering problems, with the goal of teaching students to use mathematics and engineering tools to understand and solve financial problems. Part I covers mathematical preliminaries (set theory, linear algebra, sequences and series, real functions and analysis, numerical approximations and computations, basic optimization theory, and stochastic processes), and Part II addresses financial topics ranging from low- to high-risk investments (interest rates and value of money, bonds, dynamic asset modeling, portfolio theory and optimization, option pricing, and the concept of hedging). Based on lectures for a master’s program in financial engineering given by the author over 12 years at the University of Southern California, Mathematics and Tools for Financial Engineering contains numerous examples and problems, establishes a strong general mathematics background and engineering modeling techniques in a pedagogical fashion, and covers numerical techniques with applications to solving financial problems using different software tools. This textbook is intended for graduate and advanced undergraduate students in finance or financial engineering and is useful to readers with no prior knowledge in finance who want to understand some basic mathematical tools and theories associated with financial engineering. It is also appropriate as an overview of many mathematical concepts and engineering tools relevant to courses on numerical analysis, modeling and data science, numerical optimization, and approximation theory.

Mathematics for Finance

Author : Marek Capinski
Publisher : Springer
ISBN 13 : 1852338466
Total Pages : 317 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Mathematics for Finance by : Marek Capinski

Download or read book Mathematics for Finance written by Marek Capinski and published by Springer. This book was released on 2006-04-18 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.

Principles of Financial Engineering

Author : Salih N. Neftci
Publisher : Academic Press
ISBN 13 : 0080919979
Total Pages : 697 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Principles of Financial Engineering by : Salih N. Neftci

Download or read book Principles of Financial Engineering written by Salih N. Neftci and published by Academic Press. This book was released on 2008-12-09 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Financial Engineering, Second Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows you how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs. - The Second Edition presents 5 new chapters on structured product engineering, credit markets and instruments, and principle protection techniques, among other topics - Additions, clarifications, and illustrations throughout the volume show these instruments at work instead of explaining how they should act - The Solutions Manual enhances the text by presenting additional cases and solutions to exercises

Principles of Financial Engineering

Author : Robert Kosowski
Publisher : Academic Press
ISBN 13 : 0123870070
Total Pages : 893 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Principles of Financial Engineering by : Robert Kosowski

Download or read book Principles of Financial Engineering written by Robert Kosowski and published by Academic Press. This book was released on 2014-11-26 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Financial Engineering, Third Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. A solutions manual enhances the text by presenting additional cases and solutions to exercises. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs. - The Third Edition presents three new chapters on financial engineering in commodity markets, financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles and how to incorporate counterparty risk into derivatives pricing, among other topics - Additions, clarifications, and illustrations throughout the volume show these instruments at work instead of explaining how they should act - The solutions manual enhances the text by presenting additional cases and solutions to exercises

Tools for Computational Finance

Author : Rüdiger U. Seydel
Publisher : Springer Science & Business Media
ISBN 13 : 3662225514
Total Pages : 256 pages
Book Rating : 4.6/5 (622 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 2013-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tools for Computational Finance offers a clear explanation of computational issues arising in financial mathematics. The new third edition is thoroughly revised and significantly extended, including an extensive new section on analytic methods, focused mainly on interpolation approach and quadratic approximation. Other new material is devoted to risk-neutrality, early-exercise curves, multidimensional Black-Scholes models, the integral representation of options and the derivation of the Black-Scholes equation. New figures, more exercises, and expanded background material make this guide a real must-to-have for everyone working in the world of financial engineering.

Statistical Methods for Financial Engineering

Author : Bruno Remillard
Publisher : CRC Press
ISBN 13 : 1439856958
Total Pages : 490 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Statistical Methods for Financial Engineering by : Bruno Remillard

Download or read book Statistical Methods for Financial Engineering written by Bruno Remillard and published by CRC Press. This book was released on 2016-04-19 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: While many financial engineering books are available, the statistical aspects behind the implementation of stochastic models used in the field are often overlooked or restricted to a few well-known cases. Statistical Methods for Financial Engineering guides current and future practitioners on implementing the most useful stochastic models used in f

Introduction to Quantitative Finance

Author : Robert R. Reitano
Publisher : MIT Press
ISBN 13 : 026201369X
Total Pages : 747 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Introduction to Quantitative Finance by : Robert R. Reitano

Download or read book Introduction to Quantitative Finance written by Robert R. Reitano and published by MIT Press. This book was released on 2010-01-29 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to many mathematical topics applicable to quantitative finance that teaches how to “think in mathematics” rather than simply do mathematics by rote. This text offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment, and insurance risk management. The approach emphasizes the mathematical framework provided by each mathematical discipline, and the application of each framework to the solution of finance problems. It emphasizes the thought process and mathematical approach taken to develop each result instead of the memorization of formulas to be applied (or misapplied) automatically. The objective is to provide a deep level of understanding of the relevant mathematical theory and tools that can then be effectively used in practice, to teach students how to “think in mathematics” rather than simply to do mathematics by rote. Each chapter covers an area of mathematics such as mathematical logic, Euclidean and other spaces, set theory and topology, sequences and series, probability theory, and calculus, in each case presenting only material that is most important and relevant for quantitative finance. Each chapter includes finance applications that demonstrate the relevance of the material presented. Problem sets are offered on both the mathematical theory and the finance applications sections of each chapter. The logical organization of the book and the judicious selection of topics make the text customizable for a number of courses. The development is self-contained and carefully explained to support disciplined independent study as well. A solutions manual for students provides solutions to the book's Practice Exercises; an instructor's manual offers solutions to the Assignment Exercises as well as other materials.

Monte Carlo Methods in Financial Engineering

Author : Paul Glasserman
Publisher : Springer Science & Business Media
ISBN 13 : 0387216170
Total Pages : 603 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Monte Carlo Methods in Financial Engineering by : Paul Glasserman

Download or read book Monte Carlo Methods in Financial Engineering written by Paul Glasserman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing financial engineers [...] So often, financial engineering texts are very theoretical. This book is not." --Glyn Holton, Contingency Analysis

Applied Probabilistic Calculus for Financial Engineering

Author : Bertram K. C. Chan
Publisher : John Wiley & Sons
ISBN 13 : 1119387612
Total Pages : 532 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Applied Probabilistic Calculus for Financial Engineering by : Bertram K. C. Chan

Download or read book Applied Probabilistic Calculus for Financial Engineering written by Bertram K. C. Chan and published by John Wiley & Sons. This book was released on 2017-10-16 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrates how R may be used successfully to solve problems in quantitative finance Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R provides R recipes for asset allocation and portfolio optimization problems. It begins by introducing all the necessary probabilistic and statistical foundations, before moving on to topics related to asset allocation and portfolio optimization with R codes illustrated for various examples. This clear and concise book covers financial engineering, using R in data analysis, and univariate, bivariate, and multivariate data analysis. It examines probabilistic calculus for modeling financial engineering—walking the reader through building an effective financial model from the Geometric Brownian Motion (GBM) Model via probabilistic calculus, while also covering Ito Calculus. Classical mathematical models in financial engineering and modern portfolio theory are discussed—along with the Two Mutual Fund Theorem and The Sharpe Ratio. The book also looks at R as a calculator and using R in data analysis in financial engineering. Additionally, it covers asset allocation using R, financial risk modeling and portfolio optimization using R, global and local optimal values, locating functional maxima and minima, and portfolio optimization by performance analytics in CRAN. Covers optimization methodologies in probabilistic calculus for financial engineering Answers the question: What does a "Random Walk" Financial Theory look like? Covers the GBM Model and the Random Walk Model Examines modern theories of portfolio optimization, including The Markowitz Model of Modern Portfolio Theory (MPT), The Black-Litterman Model, and The Black-Scholes Option Pricing Model Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R s an ideal reference for professionals and students in economics, econometrics, and finance, as well as for financial investment quants and financial engineers.

Financial Engineering

Author : Keith Cuthbertson
Publisher : John Wiley & Sons
ISBN 13 : 0471495840
Total Pages : 802 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Financial Engineering by : Keith Cuthbertson

Download or read book Financial Engineering written by Keith Cuthbertson and published by John Wiley & Sons. This book was released on 2001-06-08 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a thorough treatment of futures, 'plain vanilla' options and swaps as well as the use of exotic derivatives and interest rate options for speculation and hedging. Pricing of options using numerical methods such as lattices (BOPM), Mone Carlo simulation and finite difference methods, in additon to solutions using continuous time mathematics, are also covered. Real options theory and its use in investment appraisal and in valuing internet and biotechnology companies provide cutting edge practical applications. Practical risk management issues are examined in depth. Alternative models for calculating Value at Risk (market risk) and credit risk provide the throretical basis for a practical and timely overview of these areas of regulatory policy. This book is designed for courses in derivatives and risk management taken by specialist MBA, MSc Finance students or final year undergraduates, either as a stand-alone text or as a follow-on to Investments: Spot and Derivatives Markets by the same authors. The authors adopt a real-world emphasis throughout, and include features such as: * topic boxes, worked examples and learning objectives * Financial Times and Wall Street Journal newspaper extracts and analysis of real world cases * supporting web site including Lecturer's Resource Pack and Student Centre with interactive Excel and GAUSS software

Financial Engineering

Author : Lawrence Galitz
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Financial Engineering by : Lawrence Galitz

Download or read book Financial Engineering written by Lawrence Galitz and published by McGraw-Hill Companies. This book was released on 1995 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial engineering is about using financial instruments to reduce or eliminate risk, or to restructure financial exposure to improve its characteristics. Written with a clear and concise style, it covers the tools of financial engineering, defines each instrument, describes the markets in which they are traded and explains how each product is priced and hedged.

Financial Engineering

Author : John Francis Marshall
Publisher :
ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Financial Engineering by : John Francis Marshall

Download or read book Financial Engineering written by John Francis Marshall and published by . This book was released on 1992 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Financial Engineering and Computation

Author : Yuh-Dauh Lyuu
Publisher : Cambridge University Press
ISBN 13 : 9780521781718
Total Pages : 654 pages
Book Rating : 4.7/5 (817 download)

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Book Synopsis Financial Engineering and Computation by : Yuh-Dauh Lyuu

Download or read book Financial Engineering and Computation written by Yuh-Dauh Lyuu and published by Cambridge University Press. This book was released on 2002 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive text and reference, first published in 2002, on the theory of financial engineering with numerous algorithms for pricing, risk management, and portfolio management.

An Introduction to the Mathematics of Financial Derivatives

Author : Salih N. Neftci
Publisher : Academic Press
ISBN 13 : 0125153929
Total Pages : 550 pages
Book Rating : 4.1/5 (251 download)

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Book Synopsis An Introduction to the Mathematics of Financial Derivatives by : Salih N. Neftci

Download or read book An Introduction to the Mathematics of Financial Derivatives written by Salih N. Neftci and published by Academic Press. This book was released on 2000-05-19 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of Financial Modeling and Investment Management

Author : Sergio M. Focardi
Publisher : John Wiley & Sons
ISBN 13 : 0471674230
Total Pages : 802 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis The Mathematics of Financial Modeling and Investment Management by : Sergio M. Focardi

Download or read book The Mathematics of Financial Modeling and Investment Management written by Sergio M. Focardi and published by John Wiley & Sons. This book was released on 2004-04-12 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.

Statistics and Data Analysis for Financial Engineering

Author : David Ruppert
Publisher : Springer
ISBN 13 : 1493926144
Total Pages : 736 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Statistics and Data Analysis for Financial Engineering by : David Ruppert

Download or read book Statistics and Data Analysis for Financial Engineering written by David Ruppert and published by Springer. This book was released on 2015-04-21 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code and the advanced topics covered. Individual chapters cover, among other topics, multivariate distributions, copulas, Bayesian computations, risk management, and cointegration. Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. Practicing financial engineers will also find this book of interest.

An Introduction to Mathematical Finance with Applications

Author : Arlie O. Petters
Publisher : Springer
ISBN 13 : 1493937839
Total Pages : 499 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis An Introduction to Mathematical Finance with Applications by : Arlie O. Petters

Download or read book An Introduction to Mathematical Finance with Applications written by Arlie O. Petters and published by Springer. This book was released on 2016-06-17 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.