Trend agnostic one step estimation of DSGE models

Ferroni, Filippo (2009): Trend agnostic one step estimation of DSGE models.

Abstract

DSGE models are currently estimated with a two step approach: data is first filtered and then DSGE structural parameters are estimated. Two step procedures have problems, ranging from trend misspecification to wrong assumption about the correlation between trend and cycles. In this paper, I present a one step method, where DSGE structural parameters are jointly estimated with filtering parameters. I show that different data transformations imply different structural estimates; the two step approach lacks a statistical-based criterion to select among them. The one step approach allows to test hypothesis about the most likely trend specification for individual series and/or use the resulting information to construct robust estimates by Bayesian averaging. The role of investment shock as source of GDP volatility is reconsidered.

• Item Type: MPRA Paper
• Language: English
• Keywords: DSGE models, Filters, Structural estimation, Business Cycles
• Subjects: C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General

References

\harvarditem[Bouakez et~al.]{Bouakez, Cardia and Ruge-Murcia}{2005}{bouakez:05} Bouakez, H., Cardia, E. and Ruge-Murcia, F.~J.: 2005, {Habit Formation and the Persistence of Monetary Shocks}, {\em Journal of Monetary Economics} {\bf 52},~1073--1088.

\harvarditem{Canova}{1998}{canova:98} Canova, F.: 1998, {Detrending and business cycles facts.}, {\em Journal of Monetary Economics} {\bf 41},~475--512.

\harvarditem{Canova}{2007}{canova:07} Canova, F.: 2007, {\em Applied Macroeconomic Research}, Princeton University Press, Princeton, New Jersey.

\harvarditem{Canova}{2008}{canova:08} Canova, F.: 2008, {DSGE} estimation with unfiltered data, {\em Technical report}.

\harvarditem[Canova et~al.]{Canova, Lopez-Salido and Michelacci}{2007}{canovalopezmiche:07} Canova, F., Lopez-Salido, D. and Michelacci, C.: 2007, Schumpeterian technology shocks, {\em Technical report}, manuscript.

\harvarditem{Canova and Pappa}{2007}{canovapappa:03} Canova, F. and Pappa, E.: 2007, {Price Differentials in Monetary Unions: The Role of Fiscal Shocks}, {\em The Economic Journal} {\bf 117}(520),~713--739.

\harvarditem{Canova and Sala}{2006}{canovasala:07} Canova, F. and Sala, L.: 2006, {Back to square one: identification issues in DSGE models}, {\em Computing in Economics and Finance 2006 196}, Society for Computational Economics.

\harvarditem{Christensen and Dib}{2008}{chisdib:08} Christensen, I. and Dib, A.: 2008, {The Financial Accelerator in an Estimated New Keynesian Model}, {\em Review of Economic Dynamics} {\bf 11}(1),~155--178.

\harvarditem{Cogley}{2001}{cogley:01} Cogley, T.: 2001, {Estimating and testing rational expectations models when the trend specification is uncertain}, {\em Journal of Economic Dynamics and Control} {\bf 25}(10),~1485--1525.

\harvarditem{Comin and Gertler}{2006}{comingertler:06} Comin, D. and Gertler, M.: 2006, {Medium Term Business Cycles}, {\em American Economic Review} {\bf 96}(2),~523--551.

\harvarditem[{Del Negro} et~al.]{{Del Negro}, Schoerfheide, Smets and Wouters}{2007}{delnegro:07} {Del Negro}, M., Schoerfheide, F., Smets, F. and Wouters, R.: 2007, {On the fit and forecasting performancde of New Keynesian models}, {\em Journal of Business and Economic Statistics} {\bf 25},~123--143.

\harvarditem{Fernandez-Villaverde and Rubio-Ramirez}{2005}{fernrubio:05} Fernandez-Villaverde, J. and Rubio-Ramirez, J.~F.: 2005, {Estimating Dynamic Equilibrium Economies: Linear versus Nonlinear Likelihood}, {\em Journal of Applied Econometrics} {\bf 20},~891--910.

\harvarditem{Fisher}{2006}{fisher:06} Fisher, J.~D.: 2006, {The Dynamic Effects of Neutral and Investment-Specific Technology Shocks}, {\em Journal of Political Economy} {\bf 114}(3),~413--451.

\harvarditem{Francis and Ramey}{2005}{francisramey:05} Francis, N. and Ramey, V.~A.: 2005, {Is the Technology-Driven Real Business Cycle Hypothesis Dead?}, {\em Journal of Monetary Economics} {\bf 52}(8),~1379--1399.

\harvarditem{Fukac and Pagan}{2007}{fukacpagan:07} Fukac, M. and Pagan, A.: 2007, {Limited Information estimation and Evaluation of {DSGE} models}, {\em Economics Working Papers~6}, NCER.

\harvarditem{GalÌ}{1999}{gali:99} GalÌ, J.: 1999, {Technology, Employment, and the Business Cycle: Do Technology Shocks Explain the Business Cycle}, {\em American Economic Review} {\bf 89}(1),~249--271.

\harvarditem{GalÌ}{2008}{gali:08} GalÌ, J.: 2008, {\em Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework}, Princeton University Press, Princeton, New Jersey.

\harvarditem[GalÌ et~al.]{GalÌ, LÛpez-Salido and VallÈs}{2007}{galilopez:07} GalÌ, J., LÛpez-Salido, J.~D. and VallÈs, J.: 2007, {Understanding the Effects of Government Spending on Consumption}, {\em Journal of the European Economic Association} {\bf 16}(3),~309--327.

\harvarditem{Gali and Rabanal}{2004}{galirabanal:04} Gali, J. and Rabanal, P.: 2004, {Technology Shocks and Aggregate Fluctuations: How Well Does the RBS Model Fit Postwar U.S. Data?}, {\em Working Paper 10636}, National Bureau of Economic Research.

\harvarditem{Gorodnichenko and Ng}{2007}{gorodnichenkong:07} Gorodnichenko, Y. and Ng, S.: 2007, Estimation of {DSGE} models when the data are persistent.

\harvarditem{Harvey and Jaeger}{1993}{harveyjeager:93} Harvey, A.~C. and Jaeger, A.: 1993, {Detrending, Stylized Facts and the Business Cycle}, {\em Journal of Applied Econometrics} {\bf 8}(3),~231--47.

\harvarditem[Harvey et~al.]{Harvey, Trimbur and Dijk}{2004}{harvey:2004} Harvey, A., Trimbur, T. and Dijk, H.~v.: 2004, {Bayes estimates of the cyclical component in twentieth centruy US gross domestic product}.

\harvarditem{Justiniano and Primiceri}{2008}{justinianoprimicieri:06} Justiniano, A. and Primiceri, G.~E.: 2008, {The Time Varying Volatility of Macroeconomic Fluctuations}, {\em American Economic Review} {\bf forthcoming}.

\harvarditem[Justiniano et~al.]{Justiniano, Primiceri and Tambalotti}{2008}{justinianoprimicieritambalotti:08} Justiniano, A., Primiceri, G.~E. and Tambalotti, A.: 2008, {Investment Shocks and Business Cycles}, {\em CEPR Discussion Paper 6739}.

\harvarditem{Mountford and Uhlig}{2005}{mountford:05} Mountford, A. and Uhlig, H.: 2005, {What are the effects of fiscal policy shocks?}, {\em Discussion Paper~31}, Tilburg University, Center for Economic Research.

\harvarditem{Rabanal}{2006}{rabanal:06} Rabanal, P.: 2006, {Inflation Differentials in a Currency Union: A DSGE Perspective}, {\em Working paper}, La Caixa.

\harvarditem{Rabanal}{2007}{rabanal:07} Rabanal, P.: 2007, {Does inflation increase after a monetary policy tightening? Answers based on an estimated DSGE model}, {\em Journal of Economic Dynamic and Control} {\bf 31},~906--937.

\harvarditem{Rabanal and Rubio-Ramirez}{2005}{rabanalrubio:05} Rabanal, P. and Rubio-Ramirez, J.~F.: 2005, {Comparing New Keynesian models of the business cycle: A Bayesian approach.}, {\em Journal of Monetary Economic} {\bf 52}.

\harvarditem{Schorfheide}{2000}{schorfheide:00} Schorfheide, F.: 2000, {Loss function-based evaluation of DSGE models}, {\em Journal of Applied Econometrics} {\bf 15}(6),~645--670.

\harvarditem{Smets and Wouters}{2003}{smetswouters:03} Smets, F. and Wouters, R.: 2003, {An estimated dynamic stochastic general equilibrium model of the Euro Area}, {\em Journal of European Economic Association} {\bf 1}(5),~1123--1175.

\harvarditem{Smets and Wouters}{2005}{smetswouters:05} Smets, F. and Wouters, R.: 2005, {Comparing shocks and frictions in US and euro area business cycles: a Bayesian DSGE approach}, {\em Journal of Applied Econometrics} {\bf 20}(2),~161--183.

\harvarditem{Smets and Wouters}{2007}{smetswouters:07} Smets, F. and Wouters, R.: 2007, {Shocks and Frictions in {US} Business Cycles: A Bayesian DSGE Approach}, {\em American Economic Review} {\bf 97}(3),~586--606.

\harvarditem{Trimbur}{2006}{trimbur:06} Trimbur, T.~M.: 2006, {Detrending economic time series: a Bayesian generalization of the Hodrick-Prescott filter}, {\em Journal of Forecasting} {\bf 25}(4),~247--273.

\harvarditem{Uhlig}{1999}{uhlig:98} Uhlig, H.: 1999, {A Toolkit for Analysing Nonlinear Dynamic Stochastic Models Easily}, {\em Computational methods for the study of dynamic economies.}, in Marimon Scott Ed.