IDEAS home Printed from https://ideas.repec.org/p/bdr/borrec/100.html
   My bibliography  Save this paper

Some Univariate Time Series Properties of Output

Author

Listed:
  • Luis Eduardo Arango

Abstract

This paper deals with the size of the random walk property of Colombia's output in two periods 1925-1994 and 1950-1994. GDP and GDPPC were both found to be integrated of order one a result which is very well known. The sequences are highly persistent, specially in the period 1950-1994. The forecast error when an innovation of 1 percent enters into the economy is about 1.5 percent in the very long run, when GDP is considered. The response is about 1.3 percent in the case of GDPPC, which seems to give support to the idea that population growth is a source of nonstationarity in some macroeconomic aggregates. For the larger sample(1925-1994) persistence is less. This result could cast some doubt on the method of estimation of GDP for the period 1925-1950. Finally, evidence of nonlinearity is found only in Hodrick- Prescott filtered variables dated between 1925 and 1994. This leaves open the question about whether the HP filter introduces nonlinearity in the hight frequency variable that it generates.

Suggested Citation

  • Luis Eduardo Arango, 1998. "Some Univariate Time Series Properties of Output," Borradores de Economia 100, Banco de la Republica de Colombia.
  • Handle: RePEc:bdr:borrec:100
    DOI: 10.32468/be.100
    as

    Download full text from publisher

    File URL: https://doi.org/10.32468/be.100
    Download Restriction: no

    File URL: https://libkey.io/10.32468/be.100?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    2. Clive W. Granger & Timo Terasvirta & Heather M. Anderson, 1993. "Modeling Nonlinearity over the Business Cycle," NBER Chapters, in: Business Cycles, Indicators, and Forecasting, pages 311-326, National Bureau of Economic Research, Inc.
    3. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 119-136, Suppl. De.
    4. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    5. John Y. Campbell & N. Gregory Mankiw, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 857-880.
    6. Victor Zarnowitz, 1992. "Business Cycles: Theory, History, Indicators, and Forecasting," NBER Books, National Bureau of Economic Research, Inc, number zarn92-1, March.
    7. Campbell, John Y & Mankiw, N Gregory, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 111-117, May.
    8. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    9. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    10. Clavijo, Sergio, 1992. "Permanent and transitory components of Colombia's real GDP : The over-consumption hypothesis revisited," Journal of Development Economics, Elsevier, vol. 38(2), pages 371-382, April.
    11. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    12. Wesley Clair Mitchell, 1927. "Business Cycles: The Problem and Its Setting," NBER Books, National Bureau of Economic Research, Inc, number mitc27-1, March.
    13. Brunner, Karl & Meltzer, Allan H., 1977. "Stabilization of the domestic and international economy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 1-6, January.
    14. Granger, C. W. J. & Newbold, Paul, 1986. "Forecasting Economic Time Series," Elsevier Monographs, Elsevier, edition 2, number 9780122951831 edited by Shell, Karl.
    15. Krishnan, R. & Sen, Kunal, 1995. "Measuring persistence in industrial output: The Indian case," Journal of Development Economics, Elsevier, vol. 48(1), pages 25-41, October.
    16. Sheffrin, Steven M., 1988. "Have economic fluctuations been dampened? : A look at evidence outside the United States," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 73-83, January.
    17. Charles I. Plosser, 1989. "Money and business cycles: a real business cycle interpretation," Proceedings, Federal Reserve Bank of St. Louis.
    18. 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.
    19. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    20. Wesley Clair Mitchell, 1927. "Introductory pages to "Business Cycles: The Problem and Its Setting"," NBER Chapters, in: Business Cycles: The Problem and Its Setting, pages -23, National Bureau of Economic Research, Inc.
    21. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    22. Cuddington, John T. & Urzua, Carlos M., 1989. "Trends and cycles in Colombia's real GDP and fiscal deficit," Journal of Development Economics, Elsevier, vol. 30(2), pages 325-343, April.
    23. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
    24. 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.
    25. Pischke, Jorn-Steffen, 1991. "Measuring persistence in the presence of trend breaks : The case of US GNP," Economics Letters, Elsevier, vol. 36(4), pages 379-384, August.
    26. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    27. James H. Stock & Mark W. Watson, 1993. "Business Cycles, Indicators, and Forecasting," NBER Books, National Bureau of Economic Research, Inc, number stoc93-1, March.
    28. Stock, James H. & Watson, Mark W. (ed.), 1993. "Business Cycles, Indicators, and Forecasting," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226774886, December.
    29. William Easterly., 1991. "La macroeconomía del déficit del sector público: el caso de Colombia," Revista ESPE - Ensayos Sobre Política Económica, Banco de la República, vol. 10(20), pages 107-144, December.
    30. Michael T. Belongia, 1989. "Monetary policy on the 75th anniversary of the Federal Reserve system : proceedings of the fourteenth annual Economic Policy Conference, held on October 19-20, 1989," Proceedings, Federal Reserve Bank of St. Louis.
    31. Park, Gonyung, 1996. "The role of detrending methods in a model of real business cycles," Journal of Macroeconomics, Elsevier, vol. 18(3), pages 479-501.
    32. Peel, D A & Speight, A E H, 1998. "Modelling Business Cycle Nonlinearity in Conditional Mean and Conditional Variance: Some International and Sectoral Evidence," Economica, London School of Economics and Political Science, vol. 65(258), pages 211-229, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Luis Arango & Andres Gonzalez, 2001. "Some evidence of smooth transition nonlinearity in Colombian inflation," Applied Economics, Taylor & Francis Journals, vol. 33(2), pages 155-162.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luis Arango & Andres Gonzalez, 2001. "Some evidence of smooth transition nonlinearity in Colombian inflation," Applied Economics, Taylor & Francis Journals, vol. 33(2), pages 155-162.
    2. Ahsan ul Haq Satti & Wasim Shahid Malik, 2017. "The Unreliability of Output-Gap Estimates in Real Time," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 56(3), pages 193-219.
    3. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    4. Rodriguez Gabriel, 2007. "Application of Three Alternative Approaches to Identify Business Cycles in Peru," Working Papers 2007-007, Banco Central de Reserva del Perú.
    5. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, August.
    6. Ángel Guillén & Gabriel Rodríguez, 2014. "Trend-cycle decomposition for Peruvian GDP: application of an alternative method," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 23(1), pages 1-44, December.
    7. Pedersen, Torben Mark & Elmer, Anne Marie, 2003. "International evidence on the connection between business cycles and economic growth," Journal of Macroeconomics, Elsevier, vol. 25(2), pages 255-275, June.
    8. Monojit Chatterji & Homagni Choudhury, 2010. "Growth Rate Estimation in the presence of Unit Roots," Dundee Discussion Papers in Economics 245, Economic Studies, University of Dundee.
    9. Perron, Pierre & Wada, Tatsuma, 2016. "Measuring business cycles with structural breaks and outliers: Applications to international data," Research in Economics, Elsevier, vol. 70(2), pages 281-303.
    10. Tatsuma Wada & Pierre Perron, 2006. "State Space Model with Mixtures of Normals: Specifications and Applications to International Data," Boston University - Department of Economics - Working Papers Series WP2006-029, Boston University - Department of Economics.
    11. David Greasley & Les Oxley, 2010. "Cliometrics And Time Series Econometrics: Some Theory And Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 24(5), pages 970-1042, December.
    12. Marlon Fritz & Thomas Gries & Yuanhua Feng, 2019. "Growth Trends and Systematic Patterns of Booms and Busts‐Testing 200 Years of Business Cycle Dynamics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 81(1), pages 62-78, February.
    13. Valerie Cerra & Antonio Fatás & Sweta C. Saxena, 2023. "Hysteresis and Business Cycles," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 181-225, March.
    14. Francis X. Diebold, 1998. "The Past, Present, and Future of Macroeconomic Forecasting," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 175-192, Spring.
    15. Javier León & Carlos Oliva, 1992. "Componente no Estacionario y la Paridad del Poder de Compra en 12 Países Latinoamericanos," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 29(88), pages 481-504.
    16. Arango, Luis E. & Melo, Luis F., 2006. "Expansions and contractions in Brazil, Colombia and Mexico: A view through nonlinear models," Journal of Development Economics, Elsevier, vol. 80(2), pages 501-517, August.
    17. Luca Benati, 2005. "U.K. Monetary Regimes and Macroeconomic Stylised Facts," Computing in Economics and Finance 2005 107, Society for Computational Economics.
    18. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911.
    19. Perron, Pierre, 1992. "Racines unitaires en macroéconomie : le cas d’une variable," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 325-356, mars et j.
    20. Luigi Ermini, 1993. "Shock Persistence and Stochastic Trends in Australian Aggregate Output and Consumption," The Economic Record, The Economic Society of Australia, vol. 69(1), pages 34-43, March.

    More about this item

    Keywords

    Unit roots; persistence; nonlinearities; logistic function; ESTAR and; LSTAR. models.;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bdr:borrec:100. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Clorith Angélica Bahos Olivera (email available below). General contact details of provider: https://edirc.repec.org/data/brcgvco.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.