Mathematical Methods For Economics And Finance


Mathematical Methods For Economics And Finance
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Mathematics For Economics And Finance


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.



Mathematical Methods For Economics And Finance


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.



Mathematics For Economics And Finance


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 Mathematics 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


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.



Mathematical Methods And Quantum Mathematics For Economics And Finance


Mathematical Methods And Quantum Mathematics For Economics And Finance
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Author : Belal Ehsan Baaquie
language : en
Publisher: Springer Nature
Release Date : 2020-08-10

Mathematical Methods And Quantum Mathematics For Economics And Finance written by Belal Ehsan Baaquie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Business & Economics categories.


Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.



Mathematics For Economics And Finance Methods And Modeling Clpe


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 In Accountancy Economics And Finance


Mathematical Methods In Accountancy Economics And Finance
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Author : Daniel Leonard
language : en
Publisher: Prentice Hall
Release Date : 1980-01-01

Mathematical Methods In Accountancy Economics And Finance written by Daniel Leonard and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Business mathematics categories.




Stochastic Methods In Economics And Finance


Stochastic Methods In Economics And Finance
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Author : A.G. Malliaris
language : en
Publisher: North Holland
Release Date : 1982

Stochastic Methods In Economics And Finance written by A.G. Malliaris and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Business & Economics categories.


Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Itô's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications. The applications covered include: futures, pricing, job search, stochastic capital theory, stochastic economic growth, the rational expectations hypothesis, a stochastic macroeconomic model, competitive firm under price uncertainty, the Black-Scholes option pricing theory, optimum consumption and portfolio rules, demand for index bonds, term structure of interest rates, the market risk adjustment in project valuation, demand for cash balances and an asset pricing model.



Stochastic Modeling In Economics And Finance


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.



Mathematical Methods For Financial Markets


Mathematical Methods For Financial Markets
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Author : Monique Jeanblanc
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-13

Mathematical Methods For Financial Markets written by Monique Jeanblanc 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 2009-10-13 with Business & Economics categories.


Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.