IDEAS home Printed from https://ideas.repec.org/p/rim/rimwps/22-05.html
   My bibliography  Save this paper

Interpolation and shock persistence of prewar U.S. macroeconomic time series: A reconsideration

Author

Listed:
  • Hashem Dezhbakhsh

    (Department of Economics, Emory University, USA)

  • Daniel Levy

    (Department of Economics, Emory University, USA; Department of Economics, Bar-Ilan University, Israel; Rimini Centre for Economic Analysis; International Centre for Economic Analysis, Wilfrid Laurier University, Canada; International School of Economics, Tbilisi State University, Georgia)

Abstract

The U.S. prewar output series exhibit smaller shock-persistence than postwar-series. Some studies suggest this may be due to linear interpolation used to generate missing prewar data. Monte Carlo simulations that support this view generate large standard-errors, making such inference imprecise. We assess analytically the effect of linear interpolation on a nonstationary process. We find that interpolation indeed reduces shock-persistence, but the interpolated series can still exhibit greater shock-persistence than a pure random walk. Moreover, linear interpolation makes the series periodically nonstationary, with parameters of the data generating process and the length of the interpolation time-segments affecting shock-persistence in conflicting ways.

Suggested Citation

  • Hashem Dezhbakhsh & Daniel Levy, 2022. "Interpolation and shock persistence of prewar U.S. macroeconomic time series: A reconsideration," Working Paper series 22-05, Rimini Centre for Economic Analysis.
  • Handle: RePEc:rim:rimwps:22-05
    as

    Download full text from publisher

    File URL: http://rcea.org/RePEc/pdf/wp22-05.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Murray, Christian J. & Nelson, Charles R., 2000. "The uncertain trend in U.S. GDP," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 79-95, August.
    2. Levy, Daniel & Chen, Haiwei, 1994. "Estimates of the Aggregate Quarterly Capital Stock for the Post-War U.S. Economy," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 40(3), pages 317-349.
    3. Daniel Kaufmann, 2020. "Is deflation costly after all? The perils of erroneous historical classifications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(5), pages 614-628, August.
    4. Giuseppe Orlando & Giovanna Zimatore, 2021. "Recurrence Quantification Analysis of Business Cycles," Dynamic Modeling and Econometrics in Economics and Finance, in: Giuseppe Orlando & Alexander N. Pisarchik & Ruedi Stoop (ed.), Nonlinearities in Economics, chapter 0, pages 269-282, Springer.
    5. Olivier Darné & Amélie Charles, 2012. "A note on the uncertain trend in US real GNP: Evidence from robust unit root tests," Economics Bulletin, AccessEcon, vol. 32(3), pages 2399-2406.
    6. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "International Evidence on Output Fluctuation and Shock Persistence," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 50(7), pages 1499-1530.
    7. Cogley, Timothy, 1990. "International Evidence on the Size of the Random Walk in Output," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 501-518, June.
    8. Levy, Daniel & Chen, Haiwei, 1994. "Estimates of the Aggregate Quarterly Capital Stock for the Post-war U.S. Economy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 40(3), pages 317-349, September.
    9. Dezhbakhsh, Hashem & Levy, Daniel, 1994. "Periodic properties of interpolated time series," Economics Letters, Elsevier, vol. 44(3), pages 221-228.
    10. Levy, Daniel & Snir, Avichai & Gotler, Alex & Chen, Haipeng (Allan), 2020. "Not all price endings are created equal: Price points and asymmetric price rigidity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, issue forthcomi.
    11. repec:fth:harver:1418 is not listed on IDEAS
    12. 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.
    13. 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.
    14. Romer, Christina D, 1989. "The Prewar Business Cycle Reconsidered: New Estimates of Gross National Product, 1869-1908," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 1-37, February.
    15. Dezhbakhsh, Hashem & Levy, Daniel, 1994. "Periodic properties of interpolated time series (Economics Letters 44, no. 3, 1994, pp. 221-228)," Economics Letters, Elsevier, vol. 46(2), pages 183-183, October.
    16. J. Bradford DeLong & Lawrence H. Summers, 1988. "How Does Macroeconomic Policy Affect Output?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(2), pages 433-494.
    17. Franses, Philip Hans, 2013. "Data revisions and periodic properties of macroeconomic data," Economics Letters, Elsevier, vol. 120(2), pages 139-141.
    18. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    19. Balke, Nathan S & Gordon, Robert J, 1989. "The Estimation of Prewar Gross National Product: Methodology and New Evidence," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 38-92, February.
    20. Michael Ehrmann, 2000. "Comparing monetary policy transmission across European countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 136(1), pages 58-83, March.
    21. Romer, Christina D, 1986. "Is the Stabilization of the Postwar Economy a Figment of the Data?," American Economic Review, American Economic Association, vol. 76(3), pages 314-334, June.
    22. Stock, James H. & Watson, Mark W., 1986. "Does GNP have a unit root?," Economics Letters, Elsevier, vol. 22(2-3), pages 147-151.
    23. Leung, Siu-ki, 1992. "Changes in the behavior of output in the United Kingdom, 1856-1990," Economics Letters, Elsevier, vol. 40(4), pages 435-444, December.
    24. Olivier Darné & Amélie Charles & Claude Diebolt, 2014. "A revision of the US business-cycles chronology 1790-1928," Economics Bulletin, AccessEcon, vol. 34(1), pages 234-244.
    25. Jaeger, Albert, 1990. "Shock persistence and the measurement of prewar output series," Economics Letters, Elsevier, vol. 34(4), pages 333-337, December.
    26. 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.
    27. Cecchetti, Stephen G & Lam, Pok-sang, 1994. "Variance-Ratio Tests: Small-Sample Properties with an Application to International Output Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 177-186, April.
    Full references (including those not matched with items on IDEAS)

    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. Olivier Darné & Amélie Charles, 2012. "A note on the uncertain trend in US real GNP: Evidence from robust unit root tests," Economics Bulletin, AccessEcon, vol. 32(3), pages 2399-2406.
    2. Dezhbakhsh, Hashem & Levy, Daniel, 1994. "Periodic properties of interpolated time series," Economics Letters, Elsevier, vol. 44(3), pages 221-228.
    3. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "International Evidence on Output Fluctuation and Shock Persistence," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 50(7), pages 1499-1530.
    4. Levy, Daniel, 2000. "Investment-Saving Comovement and Capital Mobility: Evidence from Century Long U.S. Time Series," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 3(1), pages 100-136.
    5. Newbold, Paul & Leybourne, Stephen & Wohar, Mark E., 2001. "Trend-stationarity, difference-stationarity, or neither: further diagnostic tests with an application to U.S. Real GNP, 1875-1993," Journal of Economics and Business, Elsevier, vol. 53(1), pages 85-102.
    6. Greasley, David & Oxley, Les, 1998. "Comparing British and American Economic and Industrial Performance 1860-1993: A Time Series Perspective," Explorations in Economic History, Elsevier, vol. 35(2), pages 171-195, April.
    7. Giuseppe Orlando & Giovanna Zimatore, 2021. "Recurrence Quantification Analysis of Business Cycles," Dynamic Modeling and Econometrics in Economics and Finance, in: Giuseppe Orlando & Alexander N. Pisarchik & Ruedi Stoop (ed.), Nonlinearities in Economics, chapter 0, pages 269-282, Springer.
    8. 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.
    9. West, Kenneth D, 1988. "On the Interpretation of Near Random-walk Behavior in GNP," American Economic Review, American Economic Association, vol. 78(1), pages 202-209, March.
    10. David Greasley & Les Oxley, 1997. "Shock Persistence and Structural Change," The Economic Record, The Economic Society of Australia, vol. 73(223), pages 348-362, December.
    11. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    12. 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.
    13. Emi Nakamura & Dmitriy Sergeyev & Jón Steinsson, 2017. "Growth-Rate and Uncertainty Shocks in Consumption: Cross-Country Evidence," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(1), pages 1-39, January.
    14. Diebold & Senhadji, "undated". "Deterministic vs. Stochastic Trend in U.S. GNP, Yet Again," Home Pages _054, University of Pennsylvania.
    15. Emi Nakamura & Jón Steinsson & Robert Barro & José Ursúa, 2013. "Crises and Recoveries in an Empirical Model of Consumption Disasters," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(3), pages 35-74, July.
    16. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.
    17. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Tolga Omay, 2019. "Does U.K.’s Real GDP have a Unit Root? Evidence from a Multi-Century Perspective," Working Papers 201926, University of Pretoria, Department of Economics.
    18. Clive Granger & Yongil Jeon, 2000. "Model evaluation based on residual analysis of two similar models," Applied Economics, Taylor & Francis Journals, vol. 32(7), pages 861-867.
    19. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "On the Typical Spectral Shape of an Economic Variable," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 10(7), pages 417-423.
    20. Dimitrios Vougas, 2001. "Real per capita GNP of USA: examination of the presence of a unit root via overdifferencing," Applied Economics Letters, Taylor & Francis Journals, vol. 8(6), pages 373-375.

    More about this item

    Keywords

    Linear Interpolation; Random Walk; Shock-Persistence; Nonstationary series; Periodic nonstationarity; Stationary series; Prewar US Time Series;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • E01 - Macroeconomics and Monetary Economics - - General - - - Measurement and Data on National Income and Product Accounts and Wealth; Environmental Accounts
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • N10 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - General, International, or Comparative

    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:rim:rimwps:22-05. 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: Marco Savioli (email available below). General contact details of provider: https://edirc.repec.org/data/rcfeait.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.