Forecasting with Small Macroeconomic VARs in the Presence of Instabilities

Small-scale VARs are widely used in macroeconomics for forecasting U.S. output, prices, and interest rates. However, recent work suggests these models may exhibit instabilities. As such, a variety of estimation or forecasting methods might be used to improve their forecast accuracy. These include using different observation windows for estimation, intercept correction, time-varying parameters, break dating, Bayesian shrinkage, model averaging, etc. This paper compares the effectiveness of such methods in real time forecasting. We use forecasts from univariate time series models, the Survey of Professional Forecasters and the Federal Reserve Board's Greenbook as benchmarks.

[1]  Edward S. Knotek.  How useful is Okun's law? , 2007 .

[2]  T. Sargent,et al.  Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S. , 2003 .

[3]  John C. Robertson,et al.  Vector autoregressions: forecasting and reality , 1999 .

[4]  Ellis W. Tallman,et al.  Improving forecasts of the federal funds rate in a policy model , 1999 .

[5]  C. Sims.  MACROECONOMICS AND REALITY , 1977 .

[6]  John M. Roberts.  Monetary Policy and Inflation Dynamics , 2004 .

[7]  Michael P. Clements,et al.  Intercept Corrections and Structural Change , 1996 .

[8]  Glenn D. Rudebusch.  Assessing the Lucas Critique in Monetary Policy Models , 2002 .

[9]  T. Sargent,et al.  Evolving Post-World War II U.S. Inflation Dynamics , 2001, NBER Macroeconomics Annual.

[10]  Richard D. Porter,et al.  Is the Price Level Tied to the M2 Monetary Aggregate in the Long Run , 1991 .

[11]  John C Robertson,et al.  Improving Federal-Funds Rate Forecasts in VAR Models Used for Policy Analysis , 2001 .

[12]  William C. Brainard,et al.  Making Policy in a Changing World , 1999 .

[13]  Frank Schorfheide,et al.  Priors from General Equilibrium Models for Vars , 2002 .

[14]  D. Andrews.  END-OF-SAMPLE INSTABILITY TESTS BY DONALD W. K. ANDREWS COWLES FOUNDATION PAPER NO. 1072 COWLES FOUNDATION FOR RESEARCH IN ECONOMICS , 2008 .

[15]  Jeffrey C. Fuhrer,et al.  Monetary Policy Shifts and the Stability of Monetary Policy Models , 2003, Review of Economics and Statistics.

[16]  Robert B. Litterman.  Forecasting with Bayesian Vector Autoregressions-Five Years of Experience , 1984 .

[17]  Dean Croushore,et al.  Introducing: The Survey of Professional Forecasters , 1993 .

[18]  John M. Roberts,et al.  Economic performance under price stability , 1992 .

[19]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[20]  Athanasios Orphanides,et al.  Inflation Scares and Forecast-Based Monetary Policy , 2003 .

[21]  Arnold Zellner,et al.  Bayesian and non-Bayesian methods for combining models and forecasts with applications to forecasting international growth rates , 1993 .

[22]  P. Perron,et al.  Estimating and testing linear models with multiple structural changes , 1995 .

[23]  C. Nelson.  The Prediction Performance of the FRB-MIT-PENN Model of the U.S. Economy , 1972 .

[24]  M. Marcellino,et al.  Modelling and Forecasting Fiscal Variables for the Euro Area , 2005 .

[25]  Regina Y. Liu.  Moving blocks jackknife and bootstrap capture weak dependence , 1992 .

[26]  Robert B. Litterman,et al.  Forecasting and Conditional Projection Using Realistic Prior Distributions , 1983 .

[27]  Fabio Canova,et al.  G-7 INFLATION FORECASTS: RANDOM WALK, PHILLIPS CURVE OR WHAT ELSE? , 2007, Macroeconomic Dynamics.

[28]  C. Nelson,et al.  On testing the hypothesis that the real rate of interest is constant , 1977 .

[29]  Gary Koop,et al.  Forecasting in Dynamic Factor Models Using Bayesian Model Averaging , 2004 .

[30]  Todd E. Clark,et al.  Improving Forecast Accuracy by Combining Recursive and Rolling Forecasts , 2008 .

[31]  James H. Stock,et al.  [Evolving Post-World War II U.S. Inflation Dynamics]: Comment , 2001, NBER Macroeconomics Annual.

[32]  C. Granger,et al.  Handbook of Economic Forecasting , 2006 .

[33]  Michał Rubaszek,et al.  Can a Simple DSGE Model Outperform Professional Forecasters? , 2007 .

[34]  Glenn D. Rudebusch,et al.  Policy Rules for Inflation Targeting , 1998 .

[35]  Todd E. Clark,et al.  Chapter 3 Forecasting with Small Macroeconomic VARs in the Presence of Instabilities , 2008 .

[36]  A. Pewsey.  Exploring the Limits of Bootstrap , 1994 .

[37]  Sean D. Campbell.  Stock Market Volatility and the Great Moderation , 2005 .

[38]  Mark W. Watson,et al.  Has inflation become harder to forecast , 2005 .

[39]  Yi-Ching Yao.  Estimating the number of change-points via Schwarz' criterion , 1988 .

[40]  Todd E. Clark,et al.  The Predictive Content of the Output Gap for Inflation: Resolving In-Sample and Out-of-Sample Evidence , 2003 .

[41]  A. Felix,et al.  FEDERAL RESERVE BANK OF KANSAS CITY , 1999 .

[42]  Halbert White,et al.  Tests of Conditional Predictive Ability , 2003 .

[43]  S. Kozicki,et al.  Alternative Sources of the Lag Dynamics of Inflation , 2002 .

[44]  S. Kozicki,et al.  Term structure views of monetary policy under alternative models of agent expectations , 2001 .

[45]  John W. Keating.  Macroeconomic modeling with asymmetric vector autoregressions , 2000 .

[46]  Dean Croushore,et al.  Forecasting with Real-Time Macroeconomic Data , 2006 .

[47]  F. Canova.  G-7 Inflation Forecasts , 2002, SSRN Electronic Journal.

[48]  T. Sargent,et al.  Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S. , 2005 .

[49]  S. Johansen,et al.  Selecting a Regression Saturated by Indicators , 2007 .

[50]  Jean Boivin.  Has Us Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data , 2005 .

[51]  Todd E. Clark,et al.  Estimating Equilibrium Real Interest Rates in Real-Time , 2005, SSRN Electronic Journal.

[52]  D. Reifschneider,et al.  The role of expectations in the FRB/US macroeconomic model , 1997 .

[53]  Stephen Gordon,et al.  Learning, Forecasting and Structural Breaks , 2008 .

[54]  H. White,et al.  A Reality Check for Data Snooping , 2000 .

[55]  J. Stock,et al.  Evidence on Structural Instability in Macroeconomic Time Series Relations , 1994 .

[56]  Kenneth S. Rogoff,et al.  Globalization and global disinflation , 2003 .

[57]  Davide Pettenuzzo,et al.  Forecasting Time Series Subject to Multiple Structural Breaks , 2004, SSRN Electronic Journal.

[58]  John B. Taylor.  Monetary Policy Rules , 1999 .

[59]  Peter Tulip,et al.  Has Output Become More Predictable? Changes in Greenbook Forecast Accuracy , 2005 .

[60]  Andrew T. Levin,et al.  Is Inflation Persistence Intrinsic in Industrial Economies? , 2003, SSRN Electronic Journal.

[61]  S. Kozicki,et al.  Rounding Error: A Distorting Influence on Index Data , 2004 .

[62]  Sean D. Campbell.  Macroeconomic Volatility, Predictability and Uncertainty in the Great Moderation: Evidence from the Survey of Professional Forecasters , 2004 .

[63]  J. Stock,et al.  Combination forecasts of output growth in a seven-country data set , 2004 .

[64]  P. Hansen.  A Test for Superior Predictive Ability , 2005 .

[65]  S. Kozicki,et al.  Shifting endpoints in the term structure of interest rates , 2001 .

[66]  Todd E. Clark,et al.  Combining forecasts from nested models , 2007 .

[67]  D. Andrews.  Tests for Parameter Instability and Structural Change with Unknown Change Point , 1993 .

[68]  S. Kozicki.  How do data revisions affect the evaluation and conduct of monetary policy , 2004 .

[69]  Paolo Surico,et al.  (Un)Predictability and Macroeconomic Stability , 2006, SSRN Electronic Journal.

[70]  E. Prescott,et al.  Postwar U.S. Business Cycles: An Empirical Investigation , 1997 .

[71]  Michael P. Clements,et al.  Pooling of Forecasts , 2004 .

[72]  Jean Boivin.  Has U.S. Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data , 2006 .

[73]  R. Webb,et al.  Forecasts of Inflation from VAR Models , 1994 .

[74]  A. Warne,et al.  Monetary policy analysis and inflation targeting in a small open economy: a VAR approach* , 2001 .

[75]  H. Künsch.  The Jackknife and the Bootstrap for General Stationary Observations , 1989 .

[76]  J. Stock,et al.  Forecasting Output and Inflation: The Role of Asset Prices , 2001 .

[77]  Robert Fildes,et al.  Levels, Differences and Ecms - Principles for Improved Econometric Forecasting , 2004 .

[78]  P. Perron,et al.  Computation and Analysis of Multiple Structural-Change Models , 1998 .

[79]  Dean Croushore,et al.  A real-time data set for macroeconomists , 2001 .

[80]  Timothy Cogley,et al.  A Simple Adaptive Measure of Core Inflation , 2002 .

[81]  J. Bai,et al.  Estimation of a Change Point in Multiple Regression Models , 1997, Review of Economics and Statistics.

[82]  Measuring the Natural Rate of Interest , 2001 .

[83]  G. Evans,et al.  Policy Interaction, Expectations and the Liquidity Trap , 2003 .

[84]  William A. Branch,et al.  A simple recursive forecasting model , 2006 .

[85]  Gary Koop,et al.  Forecasting in Large Macroeconomic Panels Using Bayesian Model Averaging , 2003 .

[86]  Simon van Norden,et al.  Série Scientifique Scientific Series the Reliability of Inflation Forecasts Based on Output Gap Estimates in Real Time the Reliability of Inflation Forecasts Based on Output Gap Estimates in Real Time* , 2022 .

[87]  Christopher A. Sims,et al.  The Role of Models and Probabilities in the Monetary Policy Process , 2002 .

[88]  C. Peake.  Federal Reserve Information and the Behavior of Interest Rates , 2001 .

[89]  J. Geweke,et al.  Bayesian Forecasting , 2004 .