Elements of Mathematics for Economics and Finance

Author: Vassilis C. Mavron
Publisher: Springer Science & Business Media
ISBN: 1846285615
Release Date: 2007-03-06
Genre: Mathematics

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: Martin Anthony
Publisher: Cambridge University Press
ISBN: 9781139643269
Release Date: 1996-07-13
Genre: Mathematics

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.

Basic Mathematics for Economics Business and Finance

Author: EK Ummer
Publisher: Routledge
ISBN: 9781136728358
Release Date: 2012-03-15
Genre: Business & Economics

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.

The Elements of Financial Econometrics

Author: Jianqing Fan
Publisher: Cambridge University Press
ISBN: 9781107191174
Release Date: 2017-03-23
Genre: Business & Economics

Financial econometrics is an interdisciplinary subject that uses statistical methods and economic theory to address a variety of quantitative problems in finance. This compact, master's-level textbook focuses on methodology and includes real financial data illustrations throughout. The mathematical level is purposely kept moderate, allowing the power of the quantitative methods to be understood without too much technical detail. Wherever possible, the authors indicate where to find the relevant R codes to implement the various methods. This book grew out of a course at Princeton University which is one of the world's flagship programs in computational finance and financial engineering. It will therefore be useful for those with an economics and finance background who are looking to sharpen their quantitative skills, and also for those with strong quantitative skills who want to learn how to apply them to finance.

Foundations of Mathematical Economics

Author: Michael Carter
Publisher: MIT Press
ISBN: 0262531925
Release Date: 2001
Genre: Business & Economics

An economics-focused introduction to the mathematical foundations of the field.

Mathematics for Economists

Author: Malcolm Pemberton
Publisher: Manchester University Press
ISBN: 0719033411
Release Date: 2001
Genre: Business & Economics

This innovative text for undergraduates provides a thorough and self-contained treatment of all the mathematics commonly taught in honours degree economics courses. It is suitable for use with students with and without A level mathematics.

Computational Methods in Decision Making Economics and Finance

Author: Erricos John Kontoghiorghes
Publisher: Springer Science & Business Media
ISBN: 1402008392
Release Date: 2002-08-31
Genre: Business & Economics

Computing has become essential for the modeling, analysis, and optimization of systems. This book is devoted to algorithms, computational analysis, and decision models. The chapters are organized in two parts: optimization models of decisions and models of pricing and equilibria. Optimization is at the core of rational decision making. Even when the decision maker has more than one goal or there is significant uncertainty in the system, optimization provides a rational framework for efficient decisions. The Markowitz mean-variance formulation is a classical example. The first part of the book is on recent developments in optimization decision models for finance and economics. The first four chapters of this part focus directly on multi-stage problems in finance. Chapters 5-8 involve the use of worst-case robust analysis. Chapters 9-11 are devoted to portfolio optimization. The final four chapters are on transportation-inventory with stochastic demand; optimal investment with CRRA utility; hedging financial contracts; and, automatic differentiation for computational finance. The uncertainty associated with prediction and modeling constantly requires the development of improved methods and models. Similarly, as systems strive towards equilibria, the characterization and computation of equilibria assists analysis and prediction. The second part of the book is devoted to recent research in computational tools and models of equilibria, prediction, and pricing. The first three chapters of this part consider hedging issues in finance. Chapters 19-22 consider prediction and modeling methodologies. Chapters 23-26 focus on auctions and equilibria. Volatility models are investigated in chapters 27-28. The final two chapters investigate risk assessment and product pricing. Audience: Researchers working in computational issues related to economics, finance, and management science.

Mathematics of Economics and Business

Author: Frank Werner
Publisher: Routledge
ISBN: 9781134319305
Release Date: 2006-04-18
Genre: Business & Economics

For all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance, functions, differentiations, differentials and difference equations, optimizations with and without constraints, integrations and much more. Containing exercises and worked examples, precise definitions and theorems as well as economic applications, this book provides the reader with a comprehensive understanding of the mathematical models and tools used in both economics and business.

Economics and Finance of Risk and of the Future

Author: Robert Kast
Publisher: John Wiley & Sons
ISBN: 9780470032824
Release Date: 2006-06-14
Genre: Business & Economics

This book uses real-world examples to show how individual and collective risks can be blended and treated in a reliable decision-making framework that draws its inspiration from decision theory and market based mechanisms. It then goes into deeper detail by looking at the implications of having to face risks (a) where some kind of probabilistic description is available and (b) where none is available, using the example of insurable risks vs non-insurable risks. Again, by using real-world examples it shows how decision-makers can cope with such situations by a proper understanding and use of modern financial techniques.

Mathematical Methods and Models for Economists

Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 0521585295
Release Date: 2000-01-28
Genre: Business & Economics

A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Optimization in Economics and Finance

Author: Bruce D. Craven
Publisher: Springer Science & Business Media
ISBN: 9780387242804
Release Date: 2006-03-30
Genre: Business & Economics

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.

Stochastic Modeling in Economics and Finance

Author: Jitka Dupacova
Publisher: Springer Science & Business Media
ISBN: 9780306481673
Release Date: 2006-04-18
Genre: Mathematics

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.

Financial Mathematics

Author: Giuseppe Campolieti
Publisher: CRC Press
ISBN: 9781315360485
Release Date: 2018-10-24
Genre: Business & Economics

Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.