Mathematics for Economics and Finance

Author: Martin Anthony
Publisher: Cambridge University Press
ISBN: 1139643266
Category : Mathematics
Languages : en
Pages : 414

Book Description
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.

Elements of Mathematics for Economics and Finance

Author: Vassilis C. Mavron
Publisher: Springer Science & Business Media
ISBN: 1846285615
Category : Mathematics
Languages : en
Pages : 316

Book Description
This book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management, and business studies. The fundamental ideas are described in the simplest mathematical terms, highlighting threads of common mathematical theory in the various topics. Coverage helps readers become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems.

Mathematics for Economics and Finance

Author: Michael Harrison
Publisher: Routledge
ISBN: 1136819223
Category : Business & Economics
Languages : en
Pages : 384

Book Description
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.

An Introduction to Mathematics for Economics

Author: Akihito Asano
Publisher: Cambridge University Press
ISBN: 1107007607
Category : Business & Economics
Languages : en
Pages : 285

Book Description
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.

Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations

Author: Steven R. Dunbar
Publisher: American Mathematical Soc.
ISBN: 1470448394
Category : Business & Economics
Languages : en
Pages : 250

Book Description
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.

Finance, Economics, and Mathematics

Author: Oldrich A. Vasicek
Publisher: John Wiley & Sons
ISBN: 1119186218
Category : Business & Economics
Languages : en
Pages : 368

Book Description
The compiled works of the man behind the evolution of quantitative finance Finance, Economics, and Mathematics is the complete Vasicek reference work, including published and unpublished work and interviews with the man himself. The name Oldrich A. Vasicek is synonymous with cutting-edge research in the finance fields, and this book comes straight from the source to bring you the undiluted mother lode of quant wisdom from one of the founders of the field. From his early work in yield curve dynamics, to the mean-reverting short-rate model, to his thoughts on derivatives pricing, to his work on credit risk, to his most recent research on the economics of interest rates, this book represents the life's work of an industry leader. Going beyond the papers, you'll also find the more personal side inspirational as Vasicek talks about the academics and professionals who made lasting impressions and collaborated, debated, and ultimately helped spawn some of his greatest thinking. Oldrich Vasicek has won virtually every important award and prize for his groundbreaking research in quantitative finance. You've followed his work for years; this book puts it all in a single volume to give you the definitive reference you'll turn to again and again. Explore Vasicek's insights on topics he helped create Discover his research and ideas that have gone unpublished—until now Understand yield curves and the Vasicek model from the source himself Gain a reference collection of some of the most influential work in quantitative finance Vasicek's research is the foundation of one of the most important innovations in finance. Quants around the world have been influenced by his ideas, and his status as thought leader is cemented in the annals of finance history. Finance, Economics, and Mathematics is the definitive Vasicek reference every finance professional needs.

Introduction to the Economics and Mathematics of Financial Markets

Author: Jaksa Cvitanic
Publisher: MIT Press
ISBN: 9780262033206
Category : Business & Economics
Languages : en
Pages : 528

Book Description
An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.

Mathematical Financial Economics

Author: Igor V. Evstigneev
Publisher: Springer
ISBN: 3319165712
Category : Business & Economics
Languages : en
Pages : 217

Book Description
This textbook is an elementary introduction to the key topics in mathematical finance and financial economics - two realms of ideas that substantially overlap but are often treated separately from each other. Our goal is to present the highlights in the field, with the emphasis on the financial and economic content of the models, concepts and results. The book provides a novel, unified treatment of the subject by deriving each topic from common fundamental principles and showing the interrelations between the key themes. Although the presentation is fully rigorous, with some rare and clearly marked exceptions, the book restricts itself to the use of only elementary mathematical concepts and techniques. No advanced mathematics (such as stochastic calculus) is used.

Advanced Mathematical Economics

Author: Rakesh V. Vohra
Publisher: Psychology Press
ISBN: 9780415700085
Category : Business & Economics
Languages : en
Pages : 212

Book Description
This textbook presents students with all they need for advancing in mathematical economics. Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful.

Mathematics for Finance, Business and Economics

Author: Irénée Dondjio
Publisher: Routledge
ISBN: 1000035891
Category : Business & Economics
Languages : en
Pages : 201

Book Description
Mastering the basic concepts of mathematics is the key to understanding other subjects such as Economics, Finance, Statistics, and Accounting. Mathematics for Finance, Business and Economics is written informally for easy comprehension. Unlike traditional textbooks it provides a combination of explanations, exploration and real-life applications of major concepts. Mathematics for Finance, Business and Economics discusses elementary mathematical operations, linear and non-linear functions and equations, differentiation and optimization, economic functions, summation, percentages and interest, arithmetic and geometric series, present and future values of annuities, matrices and Markov chains. Aided by the discussion of real-world problems and solutions, students across the business and economics disciplines will find this textbook perfect for gaining an understanding of a core plank of their studies.