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Structural Vector Autoregressive Analysis

Author : Lutz Kilian
Publisher : Cambridge University Press
Page : 757 pages
File Size : 44,74 MB
Release : 2017-11-23
Category : Business & Economics
ISBN : 1107196574

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This book discusses the econometric foundations of structural vector autoregressive modeling, as used in empirical macroeconomics, finance, and related fields.

Applied Time Series Econometrics

Author : Helmut Lütkepohl
Publisher : Cambridge University Press
Page : 351 pages
File Size : 38,10 MB
Release : 2004-08-02
Category : Business & Economics
ISBN : 1139454730

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Time series econometrics is a rapidly evolving field. Particularly, the cointegration revolution has had a substantial impact on applied analysis. Hence, no textbook has managed to cover the full range of methods in current use and explain how to proceed in applied domains. This gap in the literature motivates the present volume. The methods are sketched out, reminding the reader of the ideas underlying them and giving sufficient background for empirical work. The treatment can also be used as a textbook for a course on applied time series econometrics. Topics include: unit root and cointegration analysis, structural vector autoregressions, conditional heteroskedasticity and nonlinear and nonparametric time series models. Crucial to empirical work is the software that is available for analysis. New methodology is typically only gradually incorporated into existing software packages. Therefore a flexible Java interface has been created, allowing readers to replicate the applications and conduct their own analyses.

Sign Restrictions, Structural Vector Autoregressions, and Useful Prior Information

Author : Christiane Baumeister
Publisher :
Page : 0 pages
File Size : 50,13 MB
Release : 2014
Category : Autoregression (Statistics)
ISBN :

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This paper makes the following original contributions to the literature. (1) We develop a simpler analytical characterization and numerical algorithm for Bayesian inference in structural vector autoregressions that can be used for models that are overidentified, just-identified, or underidentified. (2) We analyze the asymptotic properties of Bayesian inference and show that in the underidentified case, the asymptotic posterior distribution of contemporaneous coefficients in an n-variable VAR is confined to the set of values that orthogonalize the population variance-covariance matrix of OLS residuals, with the height of the posterior proportional to the height of the prior at any point within that set. For example, in a bivariate VAR for supply and demand identified solely by sign restrictions, if the population correlation between the VAR residuals is positive, then even if one has available an infinite sample of data, any inference about the demand elasticity is coming exclusively from the prior distribution. (3) We provide analytical characterizations of the informative prior distributions for impulse-response functions that are implicit in the traditional sign-restriction approach to VARs, and note, as a special case of result (2), that the influence of these priors does not vanish asymptotically. (4) We illustrate how Bayesian inference with informative priors can be both a strict generalization and an unambiguous improvement over frequentist inference in just-identified models. (5) We propose that researchers need to explicitly acknowledge and defend the role of prior beliefs in influencing structural conclusions and illustrate how this could be done using a simple model of the U.S. labor market.

The Changing International Transmission of Financial Shocks

Author : Sandra Eickmeier
Publisher :
Page : 0 pages
File Size : 29,43 MB
Release : 2011
Category : Business cycles
ISBN : 9783865586940

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We study the changing international transmission of US financial shocks over the period 1971-2009. Financial shocks are defined as unexpected changes of a financial conditions index (FCI), recently developed by Hatzius et al. (2010), for the US. We use a time-varying factor-augmented VAR to model the FCI jointly with a large set of macroeconomic, financial and trade variables for nine major advanced countries. The main findings are as follows. First, positive US financial shocks have a considerable positive impact on growth in the nine countries, and vice versa for negative shocks. Second, the transmission to GDP growth in European countries has increased gradually since the 1980s, consistent with financial globalization. A more marked increase is detected in the early 1980s in the US itself, consistent with changes in the conduct of monetary policy. Third, the size of US financial shocks varies strongly over time, with the g̀lobal financial crisis shock' being very large by historical standards and explaining 30 percent of the variation in GDP growth on average over all countries in 2008-2009, compared to a little less than 10 percent over the 1971-2007 period. Finally, large collapses in house prices, exports and TFP are the main drivers of the strong worldwide propagation of US financial shocks during the crisis.

Structural Vector Autoregressive Analysis

Author : Lutz Kilian
Publisher : Cambridge University Press
Page : 758 pages
File Size : 43,75 MB
Release : 2017-11-23
Category : Business & Economics
ISBN : 1108195288

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Structural vector autoregressive (VAR) models are important tools for empirical work in macroeconomics, finance, and related fields. This book not only reviews the many alternative structural VAR approaches discussed in the literature, but also highlights their pros and cons in practice. It provides guidance to empirical researchers as to the most appropriate modeling choices, methods of estimating, and evaluating structural VAR models. The book traces the evolution of the structural VAR methodology and contrasts it with other common methodologies, including dynamic stochastic general equilibrium (DSGE) models. It is intended as a bridge between the often quite technical econometric literature on structural VAR modeling and the needs of empirical researchers. The focus is not on providing the most rigorous theoretical arguments, but on enhancing the reader's understanding of the methods in question and their assumptions. Empirical examples are provided for illustration.

Inference for VARs Identified with Sign Restrictions

Author : Hyungsik Roger Moon
Publisher :
Page : 48 pages
File Size : 19,47 MB
Release : 2011
Category : Economics
ISBN :

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There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. We also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application - the former can be twice as wide as the latter.

Inference for VARs Identified with Sign Restrictions

Author :
Publisher :
Page : pages
File Size : 34,87 MB
Release : 2011
Category :
ISBN :

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There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. We also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application--the former can be twice as wide as the latter.

Shock Restricted Structural Vector-Autoregressions

Author : Sydney C. Ludvigson
Publisher :
Page : 23 pages
File Size : 31,68 MB
Release : 2017
Category : Autoregression (Statistics)
ISBN :

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Identifying assumptions need to be imposed on autoregressive models before they can be used to analyze the dynamic effects of economically interesting shocks. Often, the assumptions are only rich enough to identify a set of solutions. This paper considers two types of restrictions on the structural shocks that can help reduce the number of plausible solutions. The first is imposed on the sign and magnitude of the shocks during unusual episodes in history. The second restricts the correlation between the shocks and components of variables external to the autoregressive model. These non-linear inequality constraints can be used in conjunction with zero and sign restrictions that are already widely used in the literature. The effectiveness of our constraints are illustrated using two applications of the oil market and Monte Carlo experiments calibrated to study the role of uncertainty shocks in economic fluctuations.

Drawing Conclusions from Structural Vector Autoregressions Identified on the Basis of Sign Restrictions

Author : Christiane Baumeister
Publisher :
Page : 31 pages
File Size : 14,12 MB
Release : 2019
Category : Autoregression (Statistics)
ISBN :

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This paper discusses the problems associated with using information about the signs of certain magnitudes as a basis for drawing structural conclusions in vector autoregressions. We also review available tools to solve these problems. For illustration we use Dahlhaus and Vasishtha's (2019) study of the effects of a U.S. monetary contraction on capital flows to emerging markets. We explain why sign restrictions alone are not enough to allow us to answer the question and suggest alternative approaches that could be used.