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Book
xxi, 710 pages ; 24 cm
A unified, comprehensive, and up-to-date introduction to the analytical and numerical tools for solving dynamic economic problems.This book offers a unified, comprehensive, and up-to-date treatment of analytical and numerical tools for solving dynamic economic problems. The focus is on introducing recursive methods -- an important part of every economist's set of tools -- and readers will learn to apply recursive methods to a variety of dynamic economic problems. The book is notable for its combination of theoretical foundations and numerical methods. Each topic is first described in theoretical terms, with explicit definitions and rigorous proofs; numerical methods and computer codes to implement these methods follow. Drawing on the latest research, the book covers such cutting-edge topics as asset price bubbles, recursive utility, robust control, policy analysis in dynamic New Keynesian models with the zero lower bound on interest rates, and Bayesian estimation of dynamic stochastic general equilibrium (DSGE) models. The book first introduces the theory of dynamical systems and numerical methods for solving dynamical systems, and then discusses the theory and applications of dynamic optimization. The book goes on to treat equilibrium analysis, covering a variety of core macroeconomic models, and such additional topics as recursive utility (increasingly used in finance and macroeconomics), dynamic games, and recursive contracts. The book introduces Dynare, a widely used software platform for handling a range of economic models; readers will learn to use Dynare for numerically solving DSGE models and performing Bayesian estimation of DSGE models. Mathematical appendixes present all the necessary mathematical concepts and results. Matlab codes used to solve examples are indexed and downloadable from the book's website. A solutions manual for students is available for sale from the MIT Press; a downloadable instructor's manual is available to qualified instructors.
(source: Nielsen Book Data)9780262027618 20171017
Green Library
ECON-288-01
Book
xvii, 373 p. : ill. ; 24 cm.
This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real world problems. The material makes extensive use of programming examples to illustrate ideas. These programs help bring to life the abstract concepts in the text. Background in computing and analysis is offered for readers without programming experience or upper-level mathematics. Topics covered in detail include nonlinear dynamic systems, finite-state Markov chains, stochastic dynamic programming, stochastic stability and computation of equilibria. The models are predominantly nonlinear, and the emphasis is on studying nonlinear systems in their original form, rather than by means of rudimentary approximation methods such as linearization. Much of the material is new to economics and improves on existing techniques. For graduate students and those already working in the field, "Economic Dynamics" will serve as an essential resource.
(source: Nielsen Book Data)9780262012775 20160528
Green Library
ECON-288-01
Book
xxiv, 669 p. : ill. ; 25 cm.
  • Preface to the Second Edition. From the Preface to the First Edition. PART I. BACKGROUND. 1. Motivation. 2. Financial Theory. PART II. NUMERICAL METHODS. 3. Basics of Numerical Analysis. 4. Numerical Integration: Deterministic and Monte Carlo Methods. 5. Finite Difference Methods for Partial Differential Equations. 6. Convex Optimization. PART III. PRICING EQUITY OPTIONS. 7. Option Pricing by Binomial and Trinomial Lattices. 8. Option Pricing by Monte Carlo Methods. 9. Option Pricing by Finite Difference Methods. PART IV. ADVANCED OPTMIZATION MODELS AND METHODS. 10. Dynamic Programming. 11. Linear Stochastic Programming Models with Recourse. 12. Non-Convex Optimization. PART V. APPENDICES. Appendix A. Introduction to MATLAB Programming. Appendix B. Refresher on Probability theory and Statistics. Appendix C. Introduction to AMPL. Index.
  • (source: Nielsen Book Data)9780470080498 20160605
A state-of-the-art introduction to the powerful mathematical and statistical tools used in the field of finance The use of mathematical models and numerical techniques is a practice employed by a growing number of applied mathematicians working on applications in finance. Reflecting this development, Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition bridges the gap between financial theory and computational practice while showing readers how to utilize MATLAB?--the powerful numerical computing environment--for financial applications. The author provides an essential foundation in finance and numerical analysis in addition to background material for students from both engineering and economics perspectives. A wide range of topics is covered, including standard numerical analysis methods, Monte Carlo methods to simulate systems affected by significant uncertainty, and optimization methods to find an optimal set of decisions. Among this book's most outstanding features is the integration of MATLAB?, which helps students and practitioners solve relevant problems in finance, such as portfolio management and derivatives pricing. This tutorial is useful in connecting theory with practice in the application of classical numerical methods and advanced methods, while illustrating underlying algorithmic concepts in concrete terms. Newly featured in the Second Edition: In-depth treatment of Monte Carlo methods with due attention paid to variance reduction strategies New appendix on AMPL in order to better illustrate the optimization models in Chapters 11 and 12 New chapter on binomial and trinomial lattices Additional treatment of partial differential equations with two space dimensions Expanded treatment within the chapter on financial theory to provide a more thorough background for engineers not familiar with finance New coverage of advanced optimization methods and applications later in the text Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition presents basic treatments and more specialized literature, and it also uses algebraic languages, such as AMPL, to connect the pencil-and-paper statement of an optimization model with its solution by a software library. Offering computational practice in both financial engineering and economics fields, this book equips practitioners with the necessary techniques to measure and manage risk.
(source: Nielsen Book Data)9780470080498 20160605
dx.doi.org Wiley Online Library
eReserve
ECON-288-01
Book
xviii, 510 p. : ill. (some col.) ; 24 cm.
This book presents a variety of computational methods used to solve dynamic problems in economics and finance. It emphasises practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. The examples are drawn from a wide range of subspecialties of economics and finance, with particular emphasis on problems in agricultural and resource economics, macroeconomics, and finance. The book's Web site provides an extensive Web-site library of computer utilities and demonstration programs. The book is divided into two parts. The first part develops basic numerical methods, including linear and nonlinear equation methods, complementarity methods, finite-dimensional optimisation, numerical integration and differentiation, and function approximation. The second part presents methods for solving dynamic stochastic models in economics and finance, including dynamic programming, rational expectations, and arbitrage pricing models in discrete and continuous time. The book uses MATLAB to illustrate the algorithms and includes a utilities toolbox to help readers develop their own computational economics applications. The book's Web site can be found at .
(source: Nielsen Book Data)9780262134200 20160528
Green Library
ECON-288-01
Book
633 p.
  • Part 1 Introduction: introduction-- elementary concepts in numerical analysis. Part 2 Basics from numerical analysis on Rn: linear equations and iterative methods-- optimization-- nonlinear equations-- approximation methods-- numerical integration and differentiation-- Monte Carlo and simulation methods-- quasi-Monte Carlo methods. Part 3 Numerical methods for functional problems: finite-difference methods-- projection methods for functional equations-- numerical dynamic programming. Part 4 Perturbation methods: regular perturbation of simple systems-- regular perturbations in multidimensional systems-- advanced asymptotic methods. Part 5 Applications to dynamic equilibrium analysis-- solution methods for perfect foresight models-- solving rational expectations models.
  • (source: Nielsen Book Data)9780262100717 20160605
To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses.The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A web site contains supplementary material including programs and answers to exercises.
(source: Nielsen Book Data)9780262100717 20160605
Green Library
ECON-288-01