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Stability And Bifurcation Of A Two Scale Stochastic System In Asset Pricing Theory
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Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems by : Cars Hommes
Download or read book Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems written by Cars Hommes and published by Cambridge University Press. This book was released on 2013-01-24 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recognising that the economy is a complex system with boundedly rational interacting agents, applies complexity modelling to economics and finance.
Book Synopsis Stochastic Methods in Economics and Finance by : A.G. Malliaris
Download or read book Stochastic Methods in Economics and Finance written by A.G. Malliaris and published by North Holland. This book was released on 1982 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Itô's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications. The applications covered include: futures, pricing, job search, stochastic capital theory, stochastic economic growth, the rational expectations hypothesis, a stochastic macroeconomic model, competitive firm under price uncertainty, the Black-Scholes option pricing theory, optimum consumption and portfolio rules, demand for index bonds, term structure of interest rates, the market risk adjustment in project valuation, demand for cash balances and an asset pricing model.
Book Synopsis Introduction to Stochastic Calculus with Applications by : Fima C. Klebaner
Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo
Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.
Book Synopsis Foundations of Complex-system Theories by : Sunny Y. Auyang
Download or read book Foundations of Complex-system Theories written by Sunny Y. Auyang and published by Cambridge University Press. This book was released on 1998 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes approaches to the study of complexity in the physical, biological, and social sciences.
Book Synopsis Mathematical Modeling and Methods of Option Pricing by : Lishang Jiang
Download or read book Mathematical Modeling and Methods of Option Pricing written by Lishang Jiang and published by World Scientific. This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.
Book Synopsis Exchange Rate Theory by : Paul de Grauwe
Download or read book Exchange Rate Theory written by Paul de Grauwe and published by Wiley-Blackwell. This book was released on 1993-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Exchange Rate Theory presents a novel and elegant theory to explain the excessive variability of foreign exchange rate returns. The theory is novel in the sense that it focuses on interaction between market agents as the primary source of the variability in those speculative prices. It is shown that simple interactions between market participants using different information is sufficient to generate deterministic chaos." "In the first part of this book the authors survey existing exchange rate theories and ask whether these theories are useful in explaining actual exchange rate movements. They demonstrate that the 1970s were characterized by the belief that exchange rates could be understood by an analysis of the fundamentals (inflation rates, interest rates and monetary policy). Subsequently, this belief has all but disappeared but researchers have been content to analyze the statistical properties of exchange rates, abandoning the theory and the models." "The second part of the book uses chaos theory to construct an innovative framework for the understanding of exchange markets. These models, which integrate fundamentalism and chartism, create complex exchange rate movements which appear to be random. These models are used to explain several of the anomalies observed in exchange rate markets and to evaluate the possibility of exchange rate prediction."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Book Synopsis Stability, Control, and Computation for Time-Delay Systems by : Wim Michiels
Download or read book Stability, Control, and Computation for Time-Delay Systems written by Wim Michiels and published by SIAM. This book was released on 2014-12-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.? In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.?
Book Synopsis Dynamical Systems and Bifurcation Theory by : M. I. Camacho
Download or read book Dynamical Systems and Bifurcation Theory written by M. I. Camacho and published by . This book was released on 1987 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Business Cycle Theory by : Günter Gabisch
Download or read book Business Cycle Theory written by Günter Gabisch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Is the business cycle obsolete?" This often cited title of a book edited by Bronfenbren ner with the implicit affirmation of the question reflected the attitude of mainstream macroeconomics in the Sixties regarding the empirical relevance of cyclic motions of an economy. The successful income policies, theoretically grounded in Keynesian macroec onomics, seemed to have eased or even abolished the fluctuations in West,ern economies which motivated studies of many classical and neoclassical economists for more than 100 years. The reasoning behind the conviction that business cycles would increasingly become irrelevant was rather simple: if an economy fluctuates for whatever reason, then it is almost always possible to neutralize these cyclic motions by means of anti-cyclic demand policies. From the 1950's until the mid-Sixties business cycle theory had often been consid ered either as an appendix to growth theory or as an academic exercise in dynamical economics. The common business cycle models were essentially multiplier-accelerator models whose sensitive dependence on parameter values (in order to be called busi ness cycle models) suggested a rather improbable occurrence of continuing oscillations. The obvious success in compensating business cycles in those days prevented intensive concern with the occurrence of cycles. Rather, business cycle theory turned into sta bilization theory which investigated theoretical possibilities of stabilizing a fluctuating economy. Many macroeconomic textbooks appeared in the Sixties which consequently identified business cycle theory with inquiries on the possibilities to stabilize economies 2 Introduction by means of active fiscal or monetary policies.
Book Synopsis Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures by : Viktor Avrutin
Download or read book Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures written by Viktor Avrutin and published by World Scientific. This book was released on 2019-05-28 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets. In this book, we review the attracting and repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps (border collision and degenerate bifurcations, as well as homoclinic bifurcations and the related transformations of chaotic attractors) and survey the basic scenarios and structures involving these bifurcations. In particular, the bifurcation structures in the skew tent map and its application as a border collision normal form are discussed. We describe the period adding and incrementing bifurcation structures in the domain of regular dynamics of a discontinuous piecewise-linear map, and the related bandcount adding and incrementing structures in the domain of robust chaos. Also, we explain how these structures originate from particular codimension-two bifurcation points which act as organizing centers. In addition, we present the map replacement technique which provides a powerful tool for the description of bifurcation structures in piecewise-linear and other form of invariant maps to a much further extent than the other approaches.
Book Synopsis Handbook of Financial Markets: Dynamics and Evolution by : Thorsten Hens
Download or read book Handbook of Financial Markets: Dynamics and Evolution written by Thorsten Hens and published by Elsevier. This book was released on 2009-06-12 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The models of portfolio selection and asset price dynamics in this volume seek to explain the market dynamics of asset prices. Presenting a range of analytical, empirical, and numerical techniques as well as several different modeling approaches, the authors depict the state of debate on the market selection hypothesis. By explicitly assuming the heterogeneity of investors, they present models that are descriptive and normative as well, making the volume useful for both finance theorists and financial practitioners. - Explains the market dynamics of asset prices, offering insights about asset management approaches - Assumes a heterogeneity of investors that yields descriptive and normative models of portfolio selections and asset pricing dynamics
Book Synopsis Delay Differential Equations by : Yang Kuang
Download or read book Delay Differential Equations written by Yang Kuang and published by Academic Press. This book was released on 1993-03-05 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.
Book Synopsis Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards by :
Download or read book Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards written by and published by . This book was released on 2001 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theses on any subject submitted by the academic libraries in the UK and Ireland.
Book Synopsis Mathematical Economics by : Vasily E. Tarasov
Download or read book Mathematical Economics written by Vasily E. Tarasov and published by MDPI. This book was released on 2020-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.