Mathematics For Economics And Finance Methods And Modeling
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Mathematics For Economics And Finance
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Author : Martin Anthony
language : en
Publisher: Cambridge University Press
Release Date : 1996-07-13
Mathematics For Economics And Finance written by Martin Anthony 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 1996-07-13 with Business & Economics categories.
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Mathematics For Economics And Finance Methods And Modeling
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Author : Hope Bradley
language : en
Publisher: NY Research Press
Release Date : 2023-09-26
Mathematics For Economics And Finance Methods And Modeling written by Hope Bradley and has been published by NY Research Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-26 with Business & Economics categories.
Financial mathematics refers to the application of mathematical methods and models to financial concerns. It uses techniques from statistics, economic theory, probability, and stochastic processes. The application of mathematics to the financial sector is based on several financial or economic hypotheses. It employs abstract mathematical methods in order to build mathematical models of the functioning of financial mechanisms. Mathematics is also used in economics for building economic models that utilize mathematical methods and principles for analyzing economic problems. In economics, mathematics is used to conduct quantitative experiments and develop models for forecasting future economic growth. Mathematical economics is based on modern data methods, computing models, and other advanced mathematical applications. This book unravels the recent studies in the field of mathematical finance and mathematical economics. Most of the topics introduced herein cover new methods and modeling techniques used in mathematical finance and mathematical economics. The book will serve as a valuable source of reference for graduate and postgraduate students.
Mathematics For Economics And Finance Methods And Modeling Clpe
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Author : Martin Anthony
language : en
Publisher:
Release Date : 1996
Mathematics For Economics And Finance Methods And Modeling Clpe written by Martin Anthony and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Economics, Mathematical categories.
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Mathematical Methods For Economics And Finance
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Author : Hope Bradley
language : en
Publisher: Clanrye International
Release Date : 2023-09-19
Mathematical Methods For Economics And Finance written by Hope Bradley and has been published by Clanrye International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-19 with Business & Economics categories.
Mathematical finance refers to a branch of applied mathematics that deals with mathematical modeling of financial markets and problems. It is an emerging field that aims to apply mathematical formulas and modeling for creating financial resource values and pricing structures. The disciplines of financial engineering and computational finance are heavily interlinked with mathematical finance. Mathematical economics is the use of mathematical techniques for representing theories and examining issues related to economics. It employs mathematical principles and instruments for developing economic ideas and examines economic quandaries. Mathematics enables the formulation of meaningful, testable hypotheses about broad and complex topics that would be difficult to express informally. Furthermore, it enables the formation of positive and particular claims associated with debatable topics that are otherwise unattainable without the use of mathematics. This book aims to shed light on the applications of mathematical methods for finance and economics. It is a resource guide for experts as well as students.
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Author : 安东尼
language : en
Publisher:
Release Date : 1998
written by 安东尼 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Economics, Mathematical categories.
This book is an introduction to calculus and linear algebra for students of disciplines such as economics, finance, business, management, and accounting. It is intended for readers who may have already encountered some differential calculus, and it will also be appropriate for those with less experience, possibly used in conjunction with one of the many more elementary texts on basic mathematics.
Stochastic Modeling In Economics And Finance
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Author : Jitka Dupacova
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Stochastic Modeling In Economics And Finance written by Jitka Dupacova 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 2006-04-18 with Mathematics categories.
In Part I, the fundamentals of financial thinking and elementary mathematical methods of finance are presented. The method of presentation is simple enough to bridge the elements of financial arithmetic and complex models of financial math developed in the later parts. It covers characteristics of cash flows, yield curves, and valuation of securities. Part II is devoted to the allocation of funds and risk management: classics (Markowitz theory of portfolio), capital asset pricing model, arbitrage pricing theory, asset & liability management, value at risk. The method explanation takes into account the computational aspects. Part III explains modeling aspects of multistage stochastic programming on a relatively accessible level. It includes a survey of existing software, links to parametric, multiobjective and dynamic programming, and to probability and statistics. It focuses on scenario-based problems with the problems of scenario generation and output analysis discussed in detail and illustrated within a case study.
Mathematics For Economics And Finance
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Author : Michael Harrison
language : en
Publisher: Routledge
Release Date : 2011-03-31
Mathematics For Economics And Finance written by Michael Harrison and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-31 with Business & Economics categories.
The aim of this book is to bring students of economics and finance who have only an introductory background in mathematics up to a quite advanced level in the subject, thus preparing them for the core mathematical demands of econometrics, economic theory, quantitative finance and mathematical economics, which they are likely to encounter in their final-year courses and beyond. The level of the book will also be useful for those embarking on the first year of their graduate studies in Business, Economics or Finance. The book also serves as an introduction to quantitative economics and finance for mathematics students at undergraduate level and above. In recent years, mathematics graduates have been increasingly expected to have skills in practical subjects such as economics and finance, just as economics graduates have been expected to have an increasingly strong grounding in mathematics. The authors avoid the pitfalls of many texts that become too theoretical. The use of mathematical methods in the real world is never lost sight of and quantitative analysis is brought to bear on a variety of topics including foreign exchange rates and other macro level issues.
The Interval Market Model In Mathematical Finance
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Author : Pierre Bernhard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-14
The Interval Market Model In Mathematical Finance written by Pierre Bernhard 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 2012-12-14 with Mathematics categories.
Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion “Samuelson” market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: · probability-free Black-Scholes theory; · fair-price interval of an option; · representation formulas and fast algorithms for option pricing; · rainbow options; · tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.
Mathematical Modeling In Economics And Finance Probability Stochastic Processes And Differential Equations
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Author : Steven R. Dunbar
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-03
Mathematical Modeling In Economics And Finance Probability Stochastic Processes And Differential Equations written by Steven R. Dunbar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-03 with Economics categories.
Mathematical Modeling in Economics and Finance is designed as a textbook for an upper-division course on modeling in the economic sciences. The emphasis throughout is on the modeling process including post-modeling analysis and criticism. It is a textbook on modeling that happens to focus on financial instruments for the management of economic risk. The book combines a study of mathematical modeling with exposure to the tools of probability theory, difference and differential equations, numerical simulation, data analysis, and mathematical analysis. Students taking a course from Mathematical Modeling in Economics and Finance will come to understand some basic stochastic processes and the solutions to stochastic differential equations. They will understand how to use those tools to model the management of financial risk. They will gain a deep appreciation for the modeling process and learn methods of testing and evaluation driven by data. The reader of this book will be successfully positioned for an entry-level position in the financial services industry or for beginning graduate study in finance, economics, or actuarial science. The exposition in Mathematical Modeling in Economics and Finance is crystal clear and very student-friendly. The many exercises are extremely well designed. Steven Dunbar is Professor Emeritus of Mathematics at the University of Nebraska and he has won both university-wide and MAA prizes for extraordinary teaching. Dunbar served as Director of the MAA's American Mathematics Competitions from 2004 until 2015. His ability to communicate mathematics is on full display in this approachable, innovative text.
The Mathematics Of Financial Modeling And Investment Management
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Author : Sergio M. Focardi
language : en
Publisher: John Wiley & Sons
Release Date : 2004-03-29
The Mathematics Of Financial Modeling And Investment Management written by Sergio M. Focardi 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 2004-03-29 with Business & Economics categories.
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.