Elements of Mathematics for Economics and Finance

Elements of Mathematics for Economics and Finance

Author: Vassilis C. Mavron

Publisher: Springer Verlag

ISBN: 1846285607

Category: Business & Economics

Page: 312

View: 975

This book equips first-year undergraduates with the mathematical skills, facts and terminology required for degrees in economics, finance, management and business studies. It is especially suitable for those who did not progress past GCSE and who have had a break of at least two years from mathematics; such students often lack confidence in handling mathematical concepts so the aim of this book is to provide a basic text that focuses strongly on examples, while giving sufficient attention to the exposition of the principal constructions and theoretical results.The text starts with basic principles and leads as far as constrained optimisation, with several entry points to accommodate students with differing mathematical backgrounds. The fundamental ideas are described in the simplest mathematical terms and developed at an easy pace; the text touches on ideas, introduces them gently and then uses basic illustrative examples and exercises (with solutions) to show how these ideas may be brought to bear on problems in economics and finance.This text will serve as a handbook of mathematical techniques for first-year undergraduate in economics, finance, management science and business studies, but it will also be a useful reference for students on MBA courses.

Mathematical Methods and Quantum Mathematics for Economics and Finance

Mathematical Methods and Quantum Mathematics for Economics and Finance

Author: Belal Ehsan Baaquie

Publisher: Springer Nature

ISBN: 9789811566110

Category: Business & Economics

Page: 432

View: 370

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

Mathematics for Economics and Finance

Author: Michael Harrison

Publisher: Routledge

ISBN: 9781136819216

Category: Business & Economics

Page: 384

View: 288

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.

Basic Mathematics for Economics, Business and Finance

Basic Mathematics for Economics, Business and Finance

Author: EK Ummer

Publisher: Routledge

ISBN: 9781136728358

Category: Business & Economics

Page: 484

View: 448

This book can help overcome the widely observed math-phobia and math-aversion among undergraduate students in these subjects. The book can also help them understand why they have to learn different mathematical techniques, how they can be applied, and how they will equip the students in their further studies. The book provides a thorough but lucid exposition of most of the mathematical techniques applied in the fields of economics, business and finance. The book deals with topics right from high school mathematics to relatively advanced areas of integral calculus covering in the middle the topics of linear algebra; differential calculus; classical optimization; linear and nonlinear programming; and game theory. Though the book directly caters to the needs of undergraduate students in economics, business and finance, graduate students in these subjects will also definitely find the book an invaluable tool as a supplementary reading. The website of the book – ww.emeacollege.ac.in/bmebf – provides supplementary materials and further readings on chapters on difference equation, differential equations, elements of Mathematica®, and graphics in Mathematica®, . It also provides materials on the applications of Mathematica®, as well as teacher and student manuals.

Optimization in Economics and Finance

Optimization in Economics and Finance

Author: Bruce D. Craven

Publisher: Springer Science & Business Media

ISBN: 9780387242804

Category: Business & Economics

Page: 161

View: 872

Some recent developments in the mathematics of optimization, including the concepts of invexity and quasimax, have not yet been applied to models of economic growth, and to finance and investment. Their applications to these areas are shown in this book.

Optimization in Economics and Finance

Optimization in Economics and Finance

Author: Bruce D. Craven

Publisher: Springer Science & Business Media

ISBN: 0387242791

Category: Business & Economics

Page: 161

View: 519

Some recent developments in the mathematics of optimization, including the concepts of invexity and quasimax, have not yet been applied to models of economic growth, and to finance and investment. Their applications to these areas are shown in this book.

Advanced Mathematical Economics

Advanced Mathematical Economics

Author: Rakesh V. Vohra

Publisher: Psychology Press

ISBN: 0415700086

Category: Business & Economics

Page: 194

View: 327

"Of interest to advanced students of economics as well as those seeking a greater understanding of the influence of mathematics on 'the dismal science'. Advanced Mathematical Economics follows a long and celebrated tradition of the application of mathematical concepts to the social and physical sciences."--Jacket.

Financial Engineering with Finite Elements

Financial Engineering with Finite Elements

Author: Juergen Topper

Publisher: John Wiley & Sons

ISBN: 9780470012918

Category: Business & Economics

Page: 378

View: 419

The pricing of derivative instruments has always been a highly complex and time-consuming activity. Advances in technology, however, have enabled much quicker and more accurate pricing through mathematical rather than analytical models. In this book, the author bridges the divide between finance and mathematics by applying this proven mathematical technique to the financial markets. Utilising practical examples, the author systematically describes the processes involved in a manner accessible to those without a deep understanding of mathematics. * Explains little understood techniques that will assist in the accurate more speedy pricing of options * Centres on the practical application of these useful techniques * Offers a detailed and comprehensive account of the methods involved and is the first to explore the application of these particular techniques to the financial markets

Stochastic Modeling in Economics and Finance

Stochastic Modeling in Economics and Finance

Author: Jitka Dupacova

Publisher: Springer Science & Business Media

ISBN: 9780306481673

Category: Mathematics

Page: 386

View: 159

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.

Schaum's Outline of Calculus for Business, Economics and Finance, Fourth Edition

Schaum's Outline of Calculus for Business, Economics and Finance, Fourth Edition

Author: Luis Moises Pena-Levano

Publisher: McGraw Hill Professional

ISBN: 9781264266869

Category: Mathematics

Page: 576

View: 483

The most useful tool for reviewing mathematical methods for economics classes—now with more content Schaum’s Outline of Calculus for Business, Economics and Finance, Fourth Edition is the go-to study guide for help in economics courses, mirroring the courses in scope and sequence to help you understand basic concepts and get extra practice in topics like multivariable functions, exponential and logarithmic functions, and more. With an outline format that facilitates quick and easy review, Schaum’s Outline of Calculus for Business, Economics and Finance, Fourth Edition supports the major bestselling textbooks in economics courses and is useful for a variety of classes, including Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists and Math for Social Sciences. Chapters include Economic Applications of Graphs and Equations, The Derivative and the Rules of Differentiation, Calculus of Multivariable Functions, Exponential and Logarithmic Functions in Economics, Special Determinants and Matrices and Their Use in Economics, First-Order Differential Equations, and more. Features: NEW in this edition: Additional problems at the end of each chapter NEW in this edition: An additional chapter on sequences and series NEW in this edition: Two computer applications of Linear Programming in Excel 710 fully solved problems Outline format to provide a concise guide for study for standard college courses in mathematical economics Clear, concise explanations covers all course fundamentals Supplements the major bestselling textbooks in economics courses Appropriate for the following courses: Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists, Math for Social Sciences

Mathematics for Economists with Applications

Mathematics for Economists with Applications

Author: Jim Bergin

Publisher: Routledge

ISBN: 0415638283

Category: Business & Economics

Page: 600

View: 255

Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course. With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.