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Random Walks and Non-Linear Paths in Macroeconomic Time Series: Some Evidence and Implications

  • Franco Bevilacqua

    ()

    (MERIT, Maastricht University)

  • Adriaan van Zon

    ()

    (MERIT, Maastricht University)

This paper investigates whether the inherent non-stationarity of macroeconomic time series is entirely due to a random walk or also to non-linear components. Applying the numerical tools of the analysis of dynamical systems to long time series for the US, we reject the hypothesis that these series are generated solely by a linear stochastic process. Contrary to the Real Business Cycle theory that attributes the irregular behavior of the system to exogenous random factors, we maintain that the fluctuations in the time series we examined cannot be explained only by means of external shocks plugged into linear autoregressive models. A dynamical and non-linear explanation may be useful for the double aim of describing and forecasting more accurately the evolution of the system. Linear growth models that find empirical verification on linear econometric analysis, are therefore seriously called in question. Conversely non-linear dynamical models may enable us to achieve a more complete information about economic phenomena from the same data sets used in the empirical analysis which are in support of Real Business Cycle Theory. We conclude that Real Business Cycle theory and more in general the unit root autoregressive models are an inadequate device for a satisfactory understanding of economic time series. A theoretical approach grounded on non-linear metric methods, may however allow to identify non-linear structures that endogenously generate fluctuations in macroeconomic time series.

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Paper provided by Vienna University of Economics and Business Research Group: Growth and Employment in Europe: Sustainability and Competitiveness in its series Working Papers with number geewp22.

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Date of creation: May 2002
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Handle: RePEc:wiw:wiwgee:geewp22
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  1. Eric Zivot & Donald W.K. Andrews, 1990. "Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Cowles Foundation Discussion Papers 944, Cowles Foundation for Research in Economics, Yale University.
  2. Glenn D. Rudebusch, 1990. "Trends and random walks in macroeconomic time series: a re-examination," Finance and Economics Discussion Series 139, Board of Governors of the Federal Reserve System (U.S.).
  3. Lee, H.S. & Siklos, P.L., 1991. "Unit Roots and Seasonal Unit Roots in Macroeconomic Time Series: Canadian Evidence," Working Papers 91143, Wilfrid Laurier University, Department of Economics.
  4. Cushing, Matthew J & McGarvey, Mary G, 1996. "The Persistence of Shocks to Macroeconomic Time Series: Some Evidence from Economic Theory," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 179-87, April.
  5. Wells, J. M., 1997. "Modelling seasonal patterns and long-run trends in U.S. time series," International Journal of Forecasting, Elsevier, vol. 13(3), pages 407-420, September.
  6. Leybourne, S J & McCabe, B P M, 1999. "Modified Stationarity Tests with Data-Dependent Model-Selection Rules," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(2), pages 264-70, April.
  7. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
  8. Wu, Yangru & Zhang, Hua, 1996. "Mean Reversion in Interest Rates: New Evidence from a Panel of OECD Countries," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 604-21, November.
  9. repec:att:wimass:9520 is not listed on IDEAS
  10. Dan Ben-David & Robin L. Lumsdaine & David H. Papell, 1998. "Unit Roots, Postwar Slowdowns and Long-Run Growth: Evidence from Two Structural Breaks," NBER Working Papers 6397, National Bureau of Economic Research, Inc.
  11. Mills, Terence C, 1992. "How Robust Is the Finding That Innovations to UK Output Are Persistent?," Scottish Journal of Political Economy, Scottish Economic Society, vol. 39(2), pages 154-66, May.
  12. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861.
  13. MacDonald, Ronald, 1996. "Panel unit root tests and real exchange rates," Economics Letters, Elsevier, vol. 50(1), pages 7-11, January.
  14. Lucrezia Reichlin, 1989. "Structural change and unit roots econometrics," ULB Institutional Repository 2013/10165, ULB -- Universite Libre de Bruxelles.
  15. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
  16. Scheinkman, Jose A, 1990. "Nonlinearities in Economic Dynamics," Economic Journal, Royal Economic Society, vol. 100(400), pages 33-48, Supplemen.
  17. Lee, H.S. & Siklos, P.L., 1991. "Unit Roots and Seasonal Unit Roots in Macroeconomic Time Series: Canadian Evidence," Working Papers 91143, Wilfrid Laurier University, Department of Economics.
  18. Lucas, Robert E, Jr, 1980. "Methods and Problems in Business Cycle Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 12(4), pages 696-715, November.
  19. W. Tsay, 1998. "On the power of durbin-watson statistic against fractionally integrated processes," Econometric Reviews, Taylor & Francis Journals, vol. 17(4), pages 361-386.
  20. McCoskey, Suzanne K. & Selden, Thomas M., 1998. "Health care expenditures and GDP: panel data unit root test results," Journal of Health Economics, Elsevier, vol. 17(3), pages 369-376, June.
  21. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  22. Krol, Robert, 1992. "Trends, Random Walks and Persistence: An Empirical Study of Disaggregated U.S. Industrial Production," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 154-59, February.
  23. Li, Hongyi, 1995. "A Reexamination of the Nelson-Plosser Data Set Using Recursive and Sequential Tests," Empirical Economics, Springer, vol. 20(3), pages 501-18.
  24. Anindya Banerjee & Robin L. Lumsdaine & James H. Stock, 1990. "Recursive and Sequential Tests of the Unit Root and Trend Break Hypothesis: Theory and International Evidence," NBER Working Papers 3510, National Bureau of Economic Research, Inc.
  25. Bevilacqua Franco, 2001. "Non linear dynamics in US macroeconomic time series," Research Memorandum 034, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
  26. Swan, Trevor W, 2002. "Economic Growth," The Economic Record, The Economic Society of Australia, vol. 78(243), pages 375-80, December.
  27. Ben-David, Dan & Lumsdaine, Robin L & Papell, David, 1996. "The Unit Root Hypothesis in Long-term Output: Evidence from Two Structural Breaks for 16 Countries," CEPR Discussion Papers 1336, C.E.P.R. Discussion Papers.
  28. Wu, Ping & Crato, Nuno, 1995. "New Tests for Stationarity and Parity Reversion: Evidence on New Zealand Real Exchange Rates," Empirical Economics, Springer, vol. 20(4), pages 599-613.
  29. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
  30. Diebold, Francis X. & Rudebusch, Glenn D., 1989. "Long memory and persistence in aggregate output," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 189-209, September.
  31. Ashok Parikh, 1994. "Tests of real interest parity in international currency markets," Journal of Economics, Springer, vol. 59(2), pages 167-191, June.
  32. Lee, Jim, 1996. "Testing for a unit root in time series with trend breaks," Journal of Macroeconomics, Elsevier, vol. 18(3), pages 503-519.
  33. Serletis, Apostolos & Zimonopoulos, Grigorios, 1997. "Breaking Trend Functions in Real Exchange Rates: Evidence from Seventeen OECD Countries," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 781-802, October.
  34. Cheung, Yin-Wong & Chinn, Menzie D, 1997. "Further Investigation of the Uncertain Unit Root in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 68-73, January.
  35. Peter C.B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Cowles Foundation Discussion Papers 1189, Cowles Foundation for Research in Economics, Yale University.
  36. Song, Frank M. & Wu, Yangru, 1998. "Hysteresis in unemployment: Evidence from OECD countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(2), pages 181-192.
  37. Fung, Hung-Gay & Lo, Wai-Chung, 1992. "Deviations from Purchasing Power Parity," The Financial Review, Eastern Finance Association, vol. 27(4), pages 553-70, November.
  38. Frank, Murray & Gencay, Ramazan & Stengos, Thanasis, 1988. "International chaos?," European Economic Review, Elsevier, vol. 32(8), pages 1569-1584, October.
  39. Bradley, Michael D & Jansen, Dennis W, 1995. "Unit Roots and Infrequent Large Shocks: New International Evidence on Output Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(3), pages 867-93, August.
  40. Coakley, Jerry & Kulasi, Farida & Smith, Ron, 1996. "Current Account Solvency and the Feldstein-Horioka Puzzle," Economic Journal, Royal Economic Society, vol. 106(436), pages 620-27, May.
  41. Wu, Yangru, 1996. "Are Real Exchange Rates Nonstationary? Evidence from a Panel-Data Test," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 54-63, February.
  42. Rappoport, Peter & Reichlin, Lucrezia, 1989. "Segmented Trends and Non-stationary Time Series," Economic Journal, Royal Economic Society, vol. 99(395), pages 168-77, Supplemen.
  43. Sharmini Coorey, 1991. "The Determinants of U.S. Real Interest Rates in the Long Run," IMF Working Papers 91/118, International Monetary Fund.
  44. Leybourne, S J & McCabe, B P M & Tremayne, A R, 1996. "Can Economic Time Series Be Differenced to Stationarity?," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 435-46, October.
  45. Engle, Robert F & Hylleberg, Svend, 1996. "Common Seasonal Features: Global Unemployment," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 615-30, November.
  46. Durlauf, Steven N., 1993. "Time series properties of aggregate output fluctuations," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 39-56, March.
  47. Mills, Terence C & Taylor, Mark P, 1989. "Random Walk Components in Output and Exchange Rates: Some Robust Tests on UK Data," Bulletin of Economic Research, Wiley Blackwell, vol. 41(2), pages 123-35, April.
  48. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
  49. Nunes, Luis C & Newbold, Paul & Kuan, Chung-Ming, 1997. "Testing for Unit Roots with Breaks: Evidence on the Great Crash and the Unit Root Hypothesis Reconsidered," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 435-48, November.
  50. Culver, Sarah E. & Papell, David H., 1995. "Real exchange rates under the gold standard: can they be explained by the trend break model?," Journal of International Money and Finance, Elsevier, vol. 14(4), pages 539-548, August.
  51. Osborn, Denise R. & Heravi, Saeed & Birchenhall, C. R., 1999. "Seasonal unit roots and forecasts of two-digit European industrial production," International Journal of Forecasting, Elsevier, vol. 15(1), pages 27-47, February.
  52. Mikael Linden, 1992. "Stochastic and deterministic trends in Finnish macroeconomic time series," Finnish Economic Papers, Finnish Economic Association, vol. 5(2), pages 110-116, Autumn.
  53. Alba, Joseph D & Papell, David H, 1995. "Trend Breaks and the Unit-Root Hypothesis for Newly Industrializing and Newly Exporting Countries," Review of International Economics, Wiley Blackwell, vol. 3(3), pages 264-74, October.
  54. Hsieh, David A, 1991. " Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-77, December.
  55. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
  56. Culver, Sarah E & Papell, David H, 1997. "Is There a Unit Root in the Inflation Rate? Evidence from Sequential Break and Panel Data Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 435-44, July-Aug..
  57. Franses, Philip Hans & Kleibergen, Frank, 1996. "Unit roots in the Nelson-Plosser data: Do they matter for forecasting?," International Journal of Forecasting, Elsevier, vol. 12(2), pages 283-288, June.
  58. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  59. Serletis, Apostolos, 1994. "Breaking trend functions in the velocity of money: Evidence from the United States and Canada," The North American Journal of Economics and Finance, Elsevier, vol. 5(2), pages 201-208.
  60. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747.
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