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Mathematical Financial Economics
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Book Synopsis Mathematical Financial Economics by : Igor V. Evstigneev
Download or read book Mathematical Financial Economics written by Igor V. Evstigneev and published by Springer. This book was released on 2015-05-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to the Economics and Mathematics of Financial Markets by : Jaksa Cvitanic
Download or read book Introduction to the Economics and Mathematics of Financial Markets written by Jaksa Cvitanic and published by MIT Press. This book was released on 2004-02-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Mathematical Finance by : Michael C. Fu
Download or read book Advances in Mathematical Finance written by Michael C. Fu and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.
Book Synopsis Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations by : Steven R. Dunbar
Download or read book Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations written by Steven R. Dunbar and published by American Mathematical Soc.. This book was released on 2019-04-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics for Economics and Finance by : Martin Anthony
Download or read book Mathematics for Economics and Finance written by Martin Anthony and published by Cambridge University Press. This book was released on 1996-07-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Financial Economics and Econometrics by : Nikiforos T. Laopodis
Download or read book Financial Economics and Econometrics written by Nikiforos T. Laopodis and published by Routledge. This book was released on 2021-12-14 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Economics and Econometrics provides an overview of the core topics in theoretical and empirical finance, with an emphasis on applications and interpreting results. Structured in five parts, the book covers financial data and univariate models; asset returns; interest rates, yields and spreads; volatility and correlation; and corporate finance and policy. Each chapter begins with a theory in financial economics, followed by econometric methodologies which have been used to explore the theory. Next, the chapter presents empirical evidence and discusses seminal papers on the topic. Boxes offer insights on how an idea can be applied to other disciplines such as management, marketing and medicine, showing the relevance of the material beyond finance. Readers are supported with plenty of worked examples and intuitive explanations throughout the book, while key takeaways, ‘test your knowledge’ and ‘test your intuition’ features at the end of each chapter also aid student learning. Digital supplements including PowerPoint slides, computer codes supplements, an Instructor’s Manual and Solutions Manual are available for instructors. This textbook is suitable for upper-level undergraduate and graduate courses on financial economics, financial econometrics, empirical finance and related quantitative areas.
Book Synopsis Financial Statistics and Mathematical Finance by : Ansgar Steland
Download or read book Financial Statistics and Mathematical Finance written by Ansgar Steland and published by John Wiley & Sons. This book was released on 2012-06-21 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance has grown into a huge area of research which requires a lot of care and a large number of sophisticated mathematical tools. Mathematically rigorous and yet accessible to advanced level practitioners and mathematicians alike, it considers various aspects of the application of statistical methods in finance and illustrates some of the many ways that statistical tools are used in financial applications. Financial Statistics and Mathematical Finance: Provides an introduction to the basics of financial statistics and mathematical finance. Explains the use and importance of statistical methods in econometrics and financial engineering. Illustrates the importance of derivatives and calculus to aid understanding in methods and results. Looks at advanced topics such as martingale theory, stochastic processes and stochastic integration. Features examples throughout to illustrate applications in mathematical and statistical finance. Is supported by an accompanying website featuring R code and data sets. Financial Statistics and Mathematical Finance introduces the financial methodology and the relevant mathematical tools in a style that is both mathematically rigorous and yet accessible to advanced level practitioners and mathematicians alike, both graduate students and researchers in statistics, finance, econometrics and business administration will benefit from this book.
Book Synopsis An Outline of Financial Economics by : Satya R. Chakravarty
Download or read book An Outline of Financial Economics written by Satya R. Chakravarty and published by Anthem Press. This book was released on 2014-11-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: “An Outline of Financial Economics” presents a systematic treatment of the theory and methodology of finance and economics. The book follows an analytical and geometric methodology, explaining technical terms and mathematical operations in clear, non-technical language, and providing intuitive explanations of the mathematical results. The text begins with a discussion of financial instruments, which form the basis of finance theory, and goes on to analyze bonds – which are regarded as fixed income securities – in a simple framework, and to discuss the valuation of stocks and cash flows in detail. Highly relevant topics such as attitudes toward risk, uncertainty, the financial structure of a firm, stochastic dominance, portfolio management, option pricing and conditions for non-arbitrage are analyzed explicitly. Because of its wide coverage and analytical, articulate and authoritative presentation, “An Outline of Financial Economics” will be an indispensable book for finance researchers and undergraduate and graduate students in fields such as economics, finance, econometrics, statistics and mathematics.
Book Synopsis Principles of Financial Economics by : Stephen F. LeRoy
Download or read book Principles of Financial Economics written by Stephen F. LeRoy and published by Cambridge University Press. This book was released on 2014-08-11 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides a rigorous yet accessible graduate-level introduction to financial economics. Since students often find the link between financial economics and equilibrium theory hard to grasp, less attention is given to purely financial topics, such as valuation of derivatives, and more emphasis is placed on making the connection with equilibrium theory explicit and clear. This book also provides a detailed study of two-date models because almost all of the key ideas in financial economics can be developed in the two-date setting. Substantial discussions and examples are included to make the ideas readily understandable. Several chapters in this new edition have been reordered and revised to deal with portfolio restrictions sequentially and more clearly, and an extended discussion on portfolio choice and optimal allocation of risk is available. The most important additions are new chapters on infinite-time security markets, exploring, among other topics, the possibility of price bubbles.
Book Synopsis Elements of Mathematics for Economics and Finance by : Vassilis C. Mavron
Download or read book Elements of Mathematics for Economics and Finance written by Vassilis C. Mavron and published by Springer Nature. This book was released on 2023-11-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finance, Economics, and Mathematics by : Oldrich A. Vasicek
Download or read book Finance, Economics, and Mathematics written by Oldrich A. Vasicek and published by John Wiley & Sons. This book was released on 2015-11-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics for Finance by : Marek Capinski
Download or read book Mathematics for Finance written by Marek Capinski and published by Springer. This book was released on 2006-04-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.
Book Synopsis Mathematical Methods for Financial Markets by : Monique Jeanblanc
Download or read book Mathematical Methods for Financial Markets written by Monique Jeanblanc and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Financial Economics by : Thorsten Hens
Download or read book Financial Economics written by Thorsten Hens and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial economics is a fascinating topic where ideas from economics, mathematics and, most recently, psychology are combined to understand financial markets. This book gives a concise introduction into this field and includes for the first time recent results from behavioral finance that help to understand many puzzles in traditional finance. The book is tailor made for master and PhD students and includes tests and exercises that enable the students to keep track of their progress. Parts of the book can also be used on a bachelor level. Researchers will find it particularly useful as a source for recent results in behavioral finance and decision theory.
Book Synopsis Mathematical Finance by : Silvia Romagnoli
Download or read book Mathematical Finance written by Silvia Romagnoli and published by Societa Editrice Esculapio. This book was released on 2015 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: True to its title, this book is focused on mathematical finance field and it is draft in order to accomplish the level aimed at second or third year undergraduate students, not only of mathematics but also, for example, business management, finance and economics. The aim of this book is to provide the basic concepts concerning the mathematical finance which is unescapable to understand the way modern financial markets operate.Thanks to these fundamental concepts, which are completely concentrated on a deterministic modelization of the markets, students are ready to approach more advanced courses focused on the modern area of financial math. Here the deterministic assumption is left and stochastic assumptions concerning the evolution of the involved variables are included.
Book Synopsis Mathematical Finance and Probability by : Pablo Koch Medina
Download or read book Mathematical Finance and Probability written by Pablo Koch Medina and published by Birkhäuser. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents the theory underlying the valuation of derivative financial instruments, which is becoming a standard part of the professional toolbox in the financial industry. It provides great insight into the underlying economic ideas in a very readable form, putting the reader in an excellent position to proceed to the more general continuous-time theory.
Book Synopsis Mathematical Finance by : Emanuela Rosazza Gianin
Download or read book Mathematical Finance written by Emanuela Rosazza Gianin and published by Springer Nature. This book was released on 2023-04-18 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is conceived as a guide to solve exercises in Mathematical Finance and a complement to theoretical lectures. The potential audience consists of students in Applied Mathematics, Engineering and Economics, attending courses in Mathematical Finance. The most important subjects covered by this textbook are Pricing and Hedging of different classes of financial derivatives (European, American Exotic options, Fixed Income derivatives) in the most popular modeling frameworks, both in discrete and continuous time setting, like the Binomial and the Black-Scholes models. A Chapter on static portfolio optimization, one on pricing for more advanced models and one on Risk Measures complete the overview on the main issues presented in classical courses on Mathematical Finance. About one hundred exercises are proposed, and a large amount of them provides a detailed solution, while a few are left as an exercise to the reader. Every chapter includes a brief resume of the main theoretical results to apply. This textbook is the result of several years of teaching experience of both the authors.
