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Finite Order Var Representation Of Linear Rational Expectations Models
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Book Synopsis Finite-Order VAR Representation of Linear Rational Expectations Models by : Enrique Martínez-García
Download or read book Finite-Order VAR Representation of Linear Rational Expectations Models written by Enrique Martínez-García and published by . This book was released on 2018 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: This note summarizes the salient derivations of Martínez-García (2018). Specifically, it shows that the solution to a large class of linear rational expectations (LRE) models can be represented in finite-order VAR form. Martínez-García (2018) proposes a unified approach that uses a companion quadratic matrix equation to decouple the backward- and forward-looking parts of the canonical form of the LRE model and a Sylvester equation to pin down the solution and simplify its characterization so it can be expressed as a finite-order VAR.
Book Synopsis System Reduction and Finite-Order VAR Solution Methods for Linear Rational Expectations Models by : Enrique Martínez-García
Download or read book System Reduction and Finite-Order VAR Solution Methods for Linear Rational Expectations Models written by Enrique Martínez-García and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Rational Expectations Models by : Charles H. Whiteman
Download or read book Linear Rational Expectations Models written by Charles H. Whiteman and published by U of Minnesota Press. This book was released on 1984 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Identification of Linear Rational-expectations Models by Exogenous Variables Reconciles Lucas and Sims by : Peter A. Zadrozny
Download or read book Linear Identification of Linear Rational-expectations Models by Exogenous Variables Reconciles Lucas and Sims written by Peter A. Zadrozny and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear rational-expectations models (LREMs) are conventionally "forwardly" estimated as follows. Structural coefficients are restricted by economic restrictions in terms of deep parameters. For given deep parameters, structural equations are solved for "rational-expectations solution" (RES) equations that determine endogenous variables. For given vector autoregressive (VAR) equations that determine exogenous variables, RES equations reduce to reduced-form VAR equations for endogenous variables with exogenous variables (VARX). The combined endogenous-VARX and exogenous-VAR equations comprise the reduced-form overall VAR (OVAR) equations of all variables in a LREM. The sequence of specified, solved, and combined equations defines a mapping from deep parameters to OVAR coefficients that is used to forwardly estimate a LREM in terms of deep parameters. Forwardly-estimated deep parameters determine forwardly-estimated RES equations that Lucas (1976) advocated for making policy predictions in his critique of policy predictions made with reduced-form equations. [...].
Book Synopsis Roles of the Minimal State Variable Criterion in Rational Expectations Models by : Bennett T. McCallum
Download or read book Roles of the Minimal State Variable Criterion in Rational Expectations Models written by Bennett T. McCallum and published by . This book was released on 1999 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solving Large Scale Rational Expectation Models by : Jess Gaspar
Download or read book Solving Large Scale Rational Expectation Models written by Jess Gaspar and published by . This book was released on 1997 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Expectations Econometrics by : Lars Peter Hansen
Download or read book Rational Expectations Econometrics written by Lars Peter Hansen and published by CRC Press. This book was released on 2019-09-05 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the core of the rational expectations revolution is the insight that economic policy does not operate independently of economic agents' knowledge of that policy and their expectations of the effects of that policy. This means that there are very complicated feedback relationships existing between policy and the behaviour of economic agents, and these relationships pose very difficult problems in econometrics when one tries to exploit the rational expectations insight in formal economic modelling. This volume consists of work by two rational expectations pioneers dealing with the "nuts and bolts" problems of modelling the complications introduced by rational expectations. Each paper deals with aspects of the problem of making inferences about parameters of a dynamic economic model on the basis of time series observations. Each exploits restrictions on an econometric model imposed by the hypothesis that agents within the model have rational expectations.
Book Synopsis Linear Rational Expectations Models by : Charles H. Whiteman
Download or read book Linear Rational Expectations Models written by Charles H. Whiteman and published by . This book was released on 1983-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Non-uniqueness in Rational Expectations Models by : Bennett T. McCallum
Download or read book On Non-uniqueness in Rational Expectations Models written by Bennett T. McCallum and published by . This book was released on 1981 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many macroeconomic models involving rational expect at ions give rise to an infinity of solution paths, even when the models are linear in all variables. Some writers have suggested that this non-uniqueness constitutes a serious weakness for the rational expectations hypothesis. One purpose of the present paper is to argue that the non-uniqueness in question is not properly attributable to the rationality hypothesis but, instead, is a general feature of dynamic models involving expectations. It is also argued that there typically exists, in a very wide class of linear rational expectations models, a single solution that excludes "bubble" or "bootstrap" effects ones that occur only because they are arbitrarily expected to occur. A systematic procedure for obtaining solutions free from such effects is introduced and discussed. In addition, this procedure is used to interpret and reconsider several prominent examples with solution multiplicities, including ones developed by Fischer Black and John B. Taylor. [Resumen de autor]
Book Synopsis Dynamic Higher Order Expectations by : Kristoffer P. Nimark
Download or read book Dynamic Higher Order Expectations written by Kristoffer P. Nimark and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In models where privately informed agents interact, they may need to form higher-order expectations, i.e. expectations about other agents' expectations. In this paper we prove that there exists a unique equilibrium in a class of linear dynamic rational expectations models in which privately informed agents form higher order expectations. We propose an iterative procedure that recursively computes increasing orders of expectations. The algorithm is a contraction mapping, and the implied dynamics of the endogenous variables converge to the unique equilibrium of the model. The contractive property of the algorithm implies that, in spite of the fact that the model features an infinite regress of expectations, the equilibrium dynamics of the model can be approximated to an arbitrary accuracy with a finite-dimensional state. We provide explicit bounds on the approximation errors. These results hold under quite general conditions: It is sufficient that agents discount the future and that the exogenous processes follow stationary (but otherwise unrestricted) VARMA processes.
Book Synopsis Solving Linear Rational Expectations Models by : Gary A. Anderson
Download or read book Solving Linear Rational Expectations Models written by Gary A. Anderson and published by . This book was released on 2006 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Vector Autoregressive Analysis by : Lutz Kilian
Download or read book Structural Vector Autoregressive Analysis written by Lutz Kilian and published by Cambridge University Press. This book was released on 2017-11-23 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the econometric foundations of structural vector autoregressive modeling, as used in empirical macroeconomics, finance, and related fields.
Book Synopsis Solving Linear Rational Expectations Models with Lagged Expectations Quickly and Easily by :
Download or read book Solving Linear Rational Expectations Models with Lagged Expectations Quickly and Easily written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A solution method is derived in this paper for solving a system of linear rational-expectations equation with lagged expectations (e.g., models incorporating sticky information) using the method of undetermined coefficients for the infinite MA representation. The method applies a combination of a Generalized Schur Decomposition familiar elsewhere in the literature and a simple system of linear equations when lagged expectations are present to the infinite MA representation. Execution is faster, applicability more general, and use more straight-forward than with existing algorithms. Current methods of truncating lagged expectations are shown to not generally be innocuous and the use of such methods are rendered obsolete by the tremendous gains in computational efficiency of the method here which allows for a solution to floating-point accuracy in a fraction of the time required by standard methods. The associated computational application of the method provides impulse responses to anticipated and unanticipated innovations, simulations, and frequency-domain and simulated moments. -- Lagged expectations ; linear rational expectations models; block tridiagonal ; Generalized Schur Form ; QZ decomposition ; LAPACK
Book Synopsis Rational Expectations Models with a Continuum of Convergent Solutions by : Michael L. Mussa
Download or read book Rational Expectations Models with a Continuum of Convergent Solutions written by Michael L. Mussa and published by . This book was released on 2010 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines five examples of rational expectations models with a continuum of convergent solutions and demonstrates serious difficulties in the economic interpretation of these solutions. The five examples are (1) a model of optimal capital accumulation with a negative rate of time preference, (2) Taylor's (1977) linear rational expectations model of macroeconomic equilibrium; (3) Calvo's (1984) model of contract setting and price dynamics; (4) Obstfeld's (1984) equilibrium model of monetary dynamics with individual optimizing agents; and (5) Calvo's (1978) life-cycle model of savings and asset valuation. In every case, when these models yield a continuum of convergent infinite horizon solutions, these solutions fail to exhibit economically appropriate, forward looking dependence of the endogenous variables on the paths of the exogenous forcing variab1es--a difficulty that does not arise under the circumstances where these models yield unique convergent infinite horizon solutions. Further, the three models that have natural finite horizon versions, either lack finite horizon solutions or have solutions that do not converge to any of the infinite horizon solutions. Again, this difficulty arises only under the circumstances where these models have a continuum of infinite horizon solutions.
Book Synopsis Rational Expectations and Econometric Practice by : Robert E. Lucas
Download or read book Rational Expectations and Econometric Practice written by Robert E. Lucas and published by U of Minnesota Press. This book was released on 1981 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assumptions about how people form expectations for the future shape the properties of any dynamic economic model. To make economic decisions in an uncertain environment people must forecast such variables as future rates of inflation, tax rates, governme.
Book Synopsis Exact Linear Rational Expectations Models by : Lars Peter Hansen
Download or read book Exact Linear Rational Expectations Models written by Lars Peter Hansen and published by . This book was released on 1981 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solving Large Scale Normalised Rational Expectations Models by : Olaf van 't Veer
Download or read book Solving Large Scale Normalised Rational Expectations Models written by Olaf van 't Veer and published by . This book was released on 2006 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
