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One of the leading methods of estimating the structural parameters of DSGE models is the VAR-based impulse response matching estimator. The existing asympotic theory for this estimator does not cover situations in which the number of impulse response parameters exceeds the number of VAR model parameters. Situations in which this order condition is violated arise routinely in applied work. We establish the consistency of the impulse response matching estimator in this situation, we derive its asymptotic distribution, and we show how this distribution can be approximated by bootstrap methods. Our methods of inference remain asymptotically valid when the order condition is satisfied, regardless of whether the usual rank condition for the application of the delta method holds. Our analysis sheds new light on the choice of the weighting matrix and covers both weakly and strongly identified DSGE model parameters. We also show that under our assumptions special care is needed to ensure the asymptotic validity of Bayesian methods of inference. A simulation study suggests that the frequentist and Bayesian point and interval estimators we propose are reasonably accurate in finite samples. We also show that using these methods may affect the substantive conclusions in empirical work.
How do fiscal and technology shocks affect real exchange rates? : New evidence for the United States
(2008)
Using vector autoregressions on U.S. time series relative to an aggregate of industrialized countries, this paper provides new evidence on the dynamic effects of government spending and technology shocks on the real exchange rate and the terms of trade. To achieve identification, we derive robust restrictions on the sign of several impulse responses from a two-country general equilibrium model. We find that both the real exchange rate and the terms of trade – whose responses are left unrestricted – depreciate in response to expansionary government spending shocks and appreciate in response to positive technology shocks.
Industrial production in G7 countries is assumed to be driven by two exogenous disturbances. Those disturbances are identified in a VAR model so they can be interpreted as country-specific and global supply shocks. The dynamic properties of the model are analyzed and the relative importance of each shock is measured. It is shown that the VAR model matches most of the theoretical predictions of standard intertemporal open-economy models. The identified structural disturbances are analyzed with regard to their impact on the current account and investment. First Draft, October 2000. Final Draft, January 2001. This paper is based on the second chapter of my doctoral dissertation at the University of Frankfurt. Klassifikation: E32, F41