Reconsidering 'Trends and random walks in macroeconomic time series' *

Abstract We employ a Bayesian perspective to identify the type of prior needed to support the inference that most macroeconomic time series follow random walks. For many of the series considered by Nelson and Plosser (1982) the required prior involves assigning very low probability to trendstationary alternatives. When this prior is relaxed trend-stationarity is generally supported, thus the unit root inference seems inappropriate for these series: despite Nelson and Plosser's results indicating that macroeconomic time series are not inconsistent with the random walk hypothesis, our results indicate that for most series the trend-stationarity hypothesis is much more likely.

[1]  A. Kleidon Variance Bounds Tests and Stock Price Valuation Models , 1986, Journal of Political Economy.

[2]  C. Nelson,et al.  Trends and random walks in macroeconmic time series: Some evidence and implications , 1982 .

[3]  J. Geweke,et al.  Bayesian Inference in Econometric Models Using Monte Carlo Integration , 1989 .

[4]  R. Wolpert,et al.  Likelihood Principle , 2022, The SAGE Encyclopedia of Research Design.

[5]  R. Barro Unanticipated Money, Output, and the Price Level in the United States , 1978, Journal of Political Economy.

[6]  M. Friedman,et al.  A Monetary History of the United States , 1963 .

[7]  Anna J. Schwartz,et al.  A Monetary History of the United States, 1867-1960. , 1964 .

[8]  Jack C. Hayya,et al.  A Note on Trend Removal Methods: The Case of Polynomial Regression versus Variate Differencing , 1977 .

[9]  Robert J. Shiller,et al.  Cointegration and Tests of Present Value Models , 1987, Journal of Political Economy.

[10]  John Geweke,et al.  Exact Inference in the Inequality Constrained Normal Linear Regression Model , 1986 .

[11]  Chris Chatfield,et al.  Introduction to Statistical Time Series. , 1976 .

[12]  John B. Taylor ESTIMATION AND CONTROL OF A MACROECONOMIC MODEL WITH RATIONAL EXPECTATIONS , 1979 .

[13]  C. Whiteman,et al.  The Temporal Stability of Dividends and Stock Prices: Evidence from the Likelihood Function , 1991 .

[14]  T. Sargent Estimation of Dynamic Labor Demand Schedules under Rational Expectations , 1978, Journal of Political Economy.

[15]  Harald Uhlig,et al.  Understanding unit rooters: a helicopter tour , 1991 .

[16]  C. Nelson,et al.  Spurious Periodicity in Inappropriately Detrended Time Series , 1981 .

[17]  P. Perron,et al.  Trends and random walks in macroeconomic time series : Further evidence from a new approach , 1988 .

[18]  Charles A. Ingene,et al.  Specification Searches: Ad Hoc Inference with Nonexperimental Data , 1980 .

[19]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[20]  John Geweke The Secular and Cyclical Behavior of Real GDP in 19 OECD Countries, 1957-1983 , 1988 .

[21]  K. West A note on the power of least squares tests for a unit root , 1987 .

[22]  W. Fuller,et al.  LIKELIHOOD RATIO STATISTICS FOR AUTOREGRESSIVE TIME SERIES WITH A UNIT ROOT , 1981 .

[23]  T. Kloek,et al.  Bayesian estimates of equation system parameters, An application of integration by Monte Carlo , 1976 .

[24]  A. Zellner An Introduction to Bayesian Inference in Econometrics , 1971 .

[25]  C. Whiteman,et al.  The power problems of unit root test in time series with autoregressive errors , 1992 .

[26]  M. Arak Some International Evidence on Output-Inflation Tradeoffs: Comment , 1977 .

[27]  C. Sims Bayesian skepticism on unit root econometrics , 1988 .

[28]  John Y. Campbell,et al.  Are Output Fluctuations Transitory? , 1986 .

[29]  J. Campbell,et al.  Permanent and Transitory Components in Macroeconomic Fluctuations , 1987 .

[30]  P. Phillips Testing for a Unit Root in Time Series Regression , 1988 .