Mathematical Modeling In Economics And Finance

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

Steven R. Dunbar
Mathematical Modeling in Economics and Finance Probability Stochastic Processes and Differential Equations Book PDF

Author : Steven R. Dunbar
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 44,9 Mb
Release : 2019-04-03
Category : Economics
ISBN : 9781470448394

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Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations by Steven R. Dunbar Pdf

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.

Mathematics for Economics and Finance

Martin Anthony,Norman Biggs
Mathematics for Economics and Finance Book PDF

Author : Martin Anthony,Norman Biggs
Publisher : Cambridge University Press
Page : 128 pages
File Size : 41,6 Mb
Release : 1996-07-13
Category : Mathematics
ISBN : 9781139643269

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Mathematics for Economics and Finance by Martin Anthony,Norman Biggs Pdf

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.

Economic and Financial Modeling with Mathematica®

Hal R. Varian
Economic and Financial Modeling with Mathematica Book PDF

Author : Hal R. Varian
Publisher : Springer
Page : 480 pages
File Size : 51,9 Mb
Release : 2013-11-21
Category : Business & Economics
ISBN : 9781475722819

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Economic and Financial Modeling with Mathematica® by Hal R. Varian Pdf

Mathematica is a computer program (software) for doing symbolic, numeric and graphical analysis of mathematical problems. In the hands of economists, financial analysts and other professionals in econometrics and the quantitative sector of economic and financial modeling, it can be an invaluable tool for modeling and simulation on a large number of issues and problems, besides easily grinding out numbers, doing statistical estimations and rendering graphical plots and visuals. Mathematica enables these individuals to do all of this in a unified environment. This book's main use is that of an applications handbook. Modeling in Economics and Finance with Mathematica is a compilation of contributed papers prepared by experienced, "hands on" users of the Mathematica program. They come from

Algebra and Calculus

Edoh Y. Amiran
Algebra and Calculus Book PDF

Author : Edoh Y. Amiran
Publisher : CreateSpace
Page : 270 pages
File Size : 48,7 Mb
Release : 2014-09-15
Category : Mathematics
ISBN : 1500774936

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Algebra and Calculus by Edoh Y. Amiran Pdf

"This book discusses the vocabulary and notions used in developing quantitative models in the context of simple markets, financial interest, optimization, and settings involving rates of change. The mathematical models match topical questions. The principle topics are the relation of variables, numbers, and equations; functions of particular use in economic and financial models; probability and expected values; rates of change; optimization; and an introduction to functions of several variables. " -- back cover.

Business Economics and Finance with MATLAB, GIS, and Simulation Models

Patrick L. Anderson
Business Economics and Finance with MATLAB GIS and Simulation Models Book PDF

Author : Patrick L. Anderson
Publisher : CRC Press
Page : 499 pages
File Size : 50,6 Mb
Release : 2004-07-27
Category : Mathematics
ISBN : 9780203494653

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Business Economics and Finance with MATLAB, GIS, and Simulation Models by Patrick L. Anderson Pdf

This book takes recent theoretical advances in Finance and Economics and shows how they can be implemented in the real world. It presents tactics for using mathematical and simulation models to solve complex tasks of forecasting income, valuing businesses, predicting retail sales, and evaluating markets and tax and regulatory problems. Busine

Mathematical Models in Finance

S.D. Howison,F.P. Kelly,P. Wilmott
Mathematical Models in Finance Book PDF

Author : S.D. Howison,F.P. Kelly,P. Wilmott
Publisher : CRC Press
Page : 164 pages
File Size : 49,7 Mb
Release : 1995-05-15
Category : Mathematics
ISBN : 0412630702

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Mathematical Models in Finance by S.D. Howison,F.P. Kelly,P. Wilmott Pdf

Mathematical Models in Finance compiles papers presented at the Royal Society of London discussion meeting. Topics range from the foundations of classical theory to sophisticated, up-to-date mathematical modeling and analysis. In the wake of the increased level of mathematical awareness in the financial research community, attention has focused on fundamental issues of market modelling that are not adequately allowed for in the standard analyses. Examples include market anomalies and nonlinear coupling effects, and demand new synthesis of mathematical and numerical techniques. This line of inquiry is further stimulated by ever tightening profits due to increased competition. Several papers in this volume offer pointers to future developments in this area.

Computational Economics and Finance

Hal R. Varian
Computational Economics and Finance Book PDF

Author : Hal R. Varian
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 51,9 Mb
Release : 1996-08-09
Category : Business & Economics
ISBN : 0387945180

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Computational Economics and Finance by Hal R. Varian Pdf

This collection of articles is edited by Hal Varian, Dean of the School of Information Management and Systems, University of California, Berkeley. It provides a high quality and practical selection of contributed articles that impart the expertise of an international contingent of Mathematica users from the economic, financial, investments, quantitative business and operations research communities.

Business Economics and Finance with MATLAB, GIS, and Simulation Models

Patrick L. Anderson
Business Economics and Finance with MATLAB GIS and Simulation Models Book PDF

Author : Patrick L. Anderson
Publisher : Chapman and Hall/CRC
Page : 472 pages
File Size : 54,8 Mb
Release : 2004-07-27
Category : Mathematics
ISBN : 1584883480

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Business Economics and Finance with MATLAB, GIS, and Simulation Models by Patrick L. Anderson Pdf

This book takes recent theoretical advances in Finance and Economics and shows how they can be implemented in the real world. It presents tactics for using mathematical and simulation models to solve complex tasks of forecasting income, valuing businesses, predicting retail sales, and evaluating markets and tax and regulatory problems. Business Economics and Finance with Matlab, GIS, and Simulation Models provides a unique overview of sophisticated business and financial applications. It describes models that have been developed for analysis of retail sales, tax policy, location, economic impact, public policy issues, and other challenges faced by executives, investors, and economists on a daily basis. It also offers groundbreaking insight into the many calculation and modeling tools that can be remotely hosted and run over the Internet, resulting in substantial user benefits and cost savings. This book is the first to fully explore the capabilities of MATLAB in the field of business economics, and explain how the benefits of sophisticated mathematical models can be provided to users via the Internet, using a thin-client environment. Many techniques directly incorporate geographic information and GIS in a way that was impossible until quite recently. Some techniques, such as fuzzy logic, retail sales, economic and fiscal impact models, and other Matlab and Simulink models, are described for the first time in print in this book. The sections on business income and value break new ground by directly incorporating uncertainty, real option value, and prediction of variables using Ito and jump processes. Using dozens of examples, hundreds of references, and rigorous explanations of both theory and practice, it will become a prized reference for analysts demanding the best techniques.

Stochastic Modeling in Economics and Finance

Jitka Dupacova,J. Hurt,J. Stepan
Stochastic Modeling in Economics and Finance Book PDF

Author : Jitka Dupacova,J. Hurt,J. Stepan
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 48,9 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780306481673

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Stochastic Modeling in Economics and Finance by Jitka Dupacova,J. Hurt,J. Stepan Pdf

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 Financial Economics

Igor V. Evstigneev,Thorsten Hens,Klaus Reiner Schenk-Hoppé
Mathematical Financial Economics Book PDF

Author : Igor V. Evstigneev,Thorsten Hens,Klaus Reiner Schenk-Hoppé
Publisher : Springer
Page : 224 pages
File Size : 53,8 Mb
Release : 2015-05-15
Category : Business & Economics
ISBN : 9783319165714

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Mathematical Financial Economics by Igor V. Evstigneev,Thorsten Hens,Klaus Reiner Schenk-Hoppé Pdf

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.

Mathematical Modeling in Economics, Ecology and the Environment

N.V. Hritonenko,Yuri P. Yatsenko
Mathematical Modeling in Economics Ecology and the Environment Book PDF

Author : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 48,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781441997333

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Mathematical Modeling in Economics, Ecology and the Environment by N.V. Hritonenko,Yuri P. Yatsenko Pdf

The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes

Cornelis W Oosterlee,Lech A Grzelak
Mathematical Modeling And Computation In Finance With Exercises And Python And Matlab Computer Codes Book PDF

Author : Cornelis W Oosterlee,Lech A Grzelak
Publisher : World Scientific
Page : 1310 pages
File Size : 43,9 Mb
Release : 2019-10-29
Category : Business & Economics
ISBN : 9781786347961

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Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes by Cornelis W Oosterlee,Lech A Grzelak Pdf

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.Supplementary Material:Solutions Manual is available to instructors who adopt this textbook for their courses. Please contact [email protected].

Mathematics for Economics and Finance

Michael Harrison,Patrick Waldron
Mathematics for Economics and Finance Book PDF

Author : Michael Harrison,Patrick Waldron
Publisher : Routledge
Page : 384 pages
File Size : 51,8 Mb
Release : 2011-03-31
Category : Business & Economics
ISBN : 9781136819223

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Mathematics for Economics and Finance by Michael Harrison,Patrick Waldron Pdf

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 Models of Financial Derivatives

Yue-Kuen Kwok
Mathematical Models of Financial Derivatives Book PDF

Author : Yue-Kuen Kwok
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 54,5 Mb
Release : 2008-07-10
Category : Mathematics
ISBN : 9783540686880

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Mathematical Models of Financial Derivatives by Yue-Kuen Kwok Pdf

This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.

Complex Systems Modeling and Simulation in Economics and Finance

Shu-Heng Chen,Ying-Fang Kao,Ragupathy Venkatachalam,Ye-Rong Du
Complex Systems Modeling and Simulation in Economics and Finance Book PDF

Author : Shu-Heng Chen,Ying-Fang Kao,Ragupathy Venkatachalam,Ye-Rong Du
Publisher : Springer
Page : 307 pages
File Size : 55,7 Mb
Release : 2018-11-20
Category : Business & Economics
ISBN : 9783319996240

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Complex Systems Modeling and Simulation in Economics and Finance by Shu-Heng Chen,Ying-Fang Kao,Ragupathy Venkatachalam,Ye-Rong Du Pdf

This title brings together frontier research on complex economic systems, heterogeneous interacting agents, bounded rationality, and nonlinear dynamics in economics. The book contains the proceedings of the CEF2015 (21st Computing in Economics in Finance), held 20-22 June 2015 in Taipei, Taiwan, and addresses some of the important driving forces for various emergent properties in economies, when viewed as complex systems. The breakthroughs reported in this book are a result of an interdisciplinary approach and simulation remains the unifying theme for these papers as they deal with a wide range of topics in economics. The text is a valuable addition to the efforts in promoting the complex systems view in economic science. The computational experiments reported in the book are both transparent and replicable. Complex System Modeling and Simulation in Economics and Finance is useful for graduate courses of complex systems, with particular focus on economics and finance. At the same time it serves as a good overview for researchers who are interested in the topic.