MONEY GROWTH AND INFLATION IN THE UNITED STATES

Specification tests reject a linear inflation forecasting model over the period 1959–2002. Based on this finding, we evaluate the out-of-sample inflation forecasts of a fully nonparametric model for 1994–2002. Our two main results are that: (i) nonlinear models produce much better forecasts than linear models, and (ii) including money growth in the nonparametric model yields marginal improvements, but including velocity reduces the mean squared forecast error by as much as 40%. A threshold model fits the data well over the full sample, offering an interpretation of our findings. We conclude that it is important to account for both nonlinearity and the behavior of monetary aggregates when forecasting inflation.

[1]  Yanqin Fan,et al.  Consistent model specification tests : Omitted variables and semiparametric functional forms , 1996 .

[2]  M. Woodford,et al.  INTEREST AND PRICES: FOUNDATIONS OF A THEORY OF MONETARY POLICY , 2005, Macroeconomic Dynamics.

[3]  Norman R. Swanson,et al.  Money and output viewed through a rolling window , 1998 .

[4]  James M. Nason,et al.  Nonparametric exchange rate prediction , 1990 .

[5]  Helge Berger,et al.  Does Money Growth Granger Cause Inflation in the Euro Area? Evidence from Out-of-Sample Forecasts Using Bayesian VARS , 2008, SSRN Electronic Journal.

[6]  R. Hafer,et al.  Is money irrelevant , 1988 .

[7]  Todd E. Clark,et al.  Tests of Equal Forecast Accuracy and Encompassing for Nested Models , 1999 .

[8]  Norman R. Swanson,et al.  An Out of Sample Test for Granger Causality , 2000 .

[9]  J. Stock,et al.  A Comparison of Linear and Nonlinear Univariate Models for Forecasting Macroeconomic Time Series , 1998 .

[10]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[11]  J. Galí,et al.  Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory , 1998 .

[12]  C. Hsiao,et al.  A CONSISTENT TEST FOR CONDITIONAL HETEROSKEDASTICITY IN TIME-SERIES REGRESSION MODELS , 2001, Econometric Theory.

[13]  Lars E. O. Svensson,et al.  Money and Inflation in the Euro Area: A Case for Monetary Indicators? , 2000 .

[14]  Warren E. Weber,et al.  Money, Inflation, and Output under Fiat and Commodity Standards , 1997, Journal of Political Economy.

[15]  B. Hansen.  Sample Splitting and Threshold Estimation , 2000 .

[16]  R. Engle.  Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[17]  Bruce E. Hansen,et al.  Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis , 1996 .

[18]  Mark P. Taylor,et al.  Why is it so Difficult to Beat the Random Walk Forecast of Exchange Rates? , 2001 .

[19]  Frederic S. Mishkin,et al.  Is There a Role for Monetary Aggregates in the Conduct of Monetary Policy? , 1996 .

[20]  G. S. Watson,et al.  Smooth regression analysis , 1964 .

[21]  J. B. Ramsey,et al.  DECOMPOSITION OF ECONOMIC RELATIONSHIPS BY TIMESCALE USING WAVELETS , 1998, Macroeconomic Dynamics.

[22]  Alan M. Taylor,et al.  Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price , 2000 .

[23]  E. Nadaraya.  On Estimating Regression , 1964 .

[24]  Michael P. Clements,et al.  Forecasting economic and financial time-series with non-linear models , 2004 .

[25]  J. Stock,et al.  Measuring Money Growth When Financial Markets are Changing , 1994 .

[26]  Bennett T. McCallum,et al.  Robustness properties of a rule for monetary policy , 1988 .

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

[28]  E. Leeper,et al.  Putting &Apos;M&Apos; Back in Monetary Policy , 2003 .

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

[30]  W. Barnett,et al.  The Theory of Monetary Aggregation , 2000 .

[31]  F. Diebold,et al.  The Past, Present, and Future of Macroeconomic Forecasting , 2020, Business Cycles.

[32]  Jean Boivin.  The Fed's Conduct of Monetary Policy: Has it Changed and Does it Matter? , 1999 .

[33]  Nonlinearity and Business Cycles , 1995 .

[34]  Marcelle Chauvet,et al.  Real Time Changes in Monetary Policy , 2009 .

[35]  G. Dwyer.  Rules and discretion in monetary policy , 1993 .

[36]  Benjamin M. Friedman,et al.  Money, Income, Prices, and Interest Rates , 1992 .

[37]  James D. Hamilton.  What is an Oil Shock? , 2000 .

[38]  Suojin Wang,et al.  A simple consistent bootstrap test for a parametric regression function , 1998 .

[39]  James A. Chalfant,et al.  The Changing Empirical Definition of Money: Some Estimates from a Model of the Demand for Money Substitutes , 1989, Journal of Political Economy.

[40]  Michael T. Belongia.  Measurement Matters: Recent Results from Monetary Economics Reexamined , 1996, Journal of Political Economy.

[41]  Qi Li,et al.  Consistent model specification tests for time series econometric models , 1999 .

[42]  M. Woodford,et al.  Indicator Variables for Optimal Policy , 2000, SSRN Electronic Journal.

[43]  D. Peel,et al.  Transactions Costs and Nonlinear Adjustment in Real Exchange Rates; An Empirical Investigation , 1997, Journal of Political Economy.

[44]  Lars E. O. Svensson.  Comment on: The future of monetary aggregates in monetary policy analysis ☆ , 2003 .

[45]  Qi Li,et al.  Nonparametric Econometrics: Theory and Practice , 2006 .

[46]  Simon M. Potter.  Nonlinear Time Series Modelling: An Introduction , 1999 .

[47]  H. Tong,et al.  Semiparametric non‐linear time series model selection , 2004 .

[48]  Clive W. J. Granger,et al.  OVERVIEW OF NONLINEAR MACROECONOMETRIC EMPIRICAL MODELS , 2001, Macroeconomic Dynamics.

[49]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[50]  Norman R. Swanson,et al.  A Consistent Test for Nonlinear Out of Sample Predictive Accuracy , 2002 .

[51]  Norman R. Swanson,et al.  Nonparametric Bootstrap Procedures for Predictive Inference Based on Recursive Estimation Schemes , 2005 .

[52]  W. D. Haan.  The Comovement Between Output And Prices , 2000 .

[53]  Some Monetary Facts , 1995 .

[54]  John B. Taylor.  Discretion versus policy rules in practice , 1993 .

[55]  Kurt Brännäs.  Modelling Non-Linear Economic Relationships , 1994 .

[56]  M. Woodford,et al.  The Inflation-Targeting Debate , 2004 .

[57]  Norman R. Swanson,et al.  OUT-OF-SAMPLE TESTS FOR GRANGER CAUSALITY , 2001, Macroeconomic Dynamics.

[58]  Eric M. Leeper,et al.  The Dynamic Impacts of Monetary Policy: An Exercise in Tentative Identification , 1994, Journal of Political Economy.

[59]  Mark A. Thoma,et al.  FINANCIAL MARKET VARIABLES DO NOT PREDICT REAL ACTIVITY , 1998 .

[60]  J. Zheng,et al.  A consistent test of functional form via nonparametric estimation techniques , 1996 .

[61]  Jeffrey S. Racine,et al.  Semiparametric ARX neural-network models with an application to forecasting inflation , 2001, IEEE Trans. Neural Networks.

[62]  K. West,et al.  Asymptotic Inference about Predictive Ability , 1996 .

[63]  Michael S. Hanson.  The "price puzzle" reconsidered , 2004 .

[64]  S. Johansen.  Likelihood-Based Inference in Cointegrated Vector Autoregressive Models , 1996 .

[65]  The Predictive Content of the Output Gap for Inflation: Resolving In-Sample and Out-of-Sample Evidence , 2006 .