Impulse Response Estimation by Smooth Local Projections

42 Pages Posted: 4 Jan 2017 Last revised: 29 Jan 2017

Regis Barnichon

Federal Reserve Bank of San Francisco; CREI and Universitat Pompeu Fabra

Christian T. Brownlees

Universitat Pompeu Fabra - Department of Economics and Business; Barcelona Graduate School of Economics (Barcelona GSE)

Multiple version iconThere are 2 versions of this paper

Date Written: January 23, 2017

Abstract

Vector Autoregressions (VAR) and Local Projections (LP) are well established methodologies for the estimation of Impulse Responses (IR). These techniques have complementary features: The VAR approach is more efficient when the model is correctly specified whereas the LP approach is less efficient but more robust to model misspecification. We propose a novel IR estimation methodology - Smooth Local Projections (SLP) - to strike a balance between these approaches. SLP consists in estimating LP under the assumption that the IR is a smooth function of the forecast horizon. Inference is carried out using semi-parametric techniques based on Penalized B-splines, which are straightforward to implement in practice. SLP preserves the flexibility of standard LP and at the same time can increase precision substantially. A simulation study shows the large gains in IR estimation accuracy of SLP over LP. We show how SLP may be used with common identification schemes such as timing restrictions and instrumental variables to directly recover structural IRs. We illustrate our technique by studying the effects of monetary shocks.

Keywords: local projections, semiparametric estimation, structural impulse response

JEL Classification: C14, C32, C53, E52

Suggested Citation

Barnichon, Regis and Brownlees, Christian T., Impulse Response Estimation by Smooth Local Projections (January 23, 2017). Available at SSRN: https://ssrn.com/abstract=2892508 or http://dx.doi.org/10.2139/ssrn.2892508

Regis Barnichon

Federal Reserve Bank of San Francisco ( email )

101 Market Street
San Francisco, CA 94105
United States

CREI and Universitat Pompeu Fabra ( email )

Christian T. Brownlees (Contact Author)

Universitat Pompeu Fabra - Department of Economics and Business ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain

HOME PAGE: http://www.econ.upf.edu/~cbrownlees/

Barcelona Graduate School of Economics (Barcelona GSE) ( email )

Ramon Trias Fargas 25-27
Barcelona, Catalonia 08014
Spain

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