Advanced Search
MyIDEAS: Login

Let’s Take a Break: Trends and Cycles in US Real GDP

Contents:

Author Info

  • Pierre Perron

    ()
    (Departemnt of Economics, Boston University)

  • Tatsuma Wada

    ()
    (Department of Economics, Wayne State University)

Abstract

Recent work on trend-cycle decompositions for US real GDP yields the following features: methods based on Unobserved Components models, the Beveridge-Nelson decomposition, the Hodrick-Prescott filter and others yield very different cycles which bear little resemblance to the NBER chronology, ascribes much movements to the trend leaving little to the cycle, and some imply a negative correlation between the noise to the cycle and the trend. We argue that these features are artifacts created by the neglect of a change in the slope of the trend function in real GDP in 1973. Once this is properly accounted for, all methods yield the same cycle with a trend that is non-stochastic except for a few periods around 1973. This cycle is more important in magnitude than previously reported, it accords well with the NBER chronology and implies no correlation between the trend and cycle, since the former is non-stochastic. Our results are corroborated using an alternative trend-cycle decomposition based on a generalized Unobserved Components models with errors having a mixture of Normals distribution for both the slope of the trend function and the cyclical component. It can account endogenously for infrequent changes such as level shifts and change in slope, as well as different variances for expansions and recessions. It yields a decomposition that accords very well with common notions of the business cycle.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://people.bu.edu/perron/papers/trend-cycle-break.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Boston University - Department of Economics in its series Boston University - Department of Economics - Working Papers Series with number wp2009-006.

as in new window
Length: 46
Date of creation: Jan 2005
Date of revision: Feb 2009
Handle: RePEc:bos:wpaper:wp2009-006

Contact details of provider:
Postal: 270 Bay State Road, Boston, MA 02215
Phone: 617-353-4389
Fax: 617-353-444
Web page: http://www.bu.edu/econ/
More information through EDIRC

Related research

Keywords: Trend-Cycle Decomposition; Structural Change; Non Gaussian Filtering; Unobserved Components Model; Beveridge-Nelson Decomposition;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Sercu, Piet & Uppal, Raman, 2003. "Exchange rate volatility and international trade: A general-equilibrium analysis," European Economic Review, Elsevier, vol. 47(3), pages 429-441, June.
  2. Fernando Alvarez & Andrew Atkeson & Patrick Kehoe, 2007. "Time-Varying Risk, Interest Rates, and Exchange Rates in General Equilibrium," Working Papers CAS_RN_2007_6, Laboratory for Macroeconomic Analysis.
  3. James Morley & Charles Nelson & Eric Zivot, 2003. "Why are Beveridge-Nelson and Unobserved-component decompositions of GDP so Different?," Working Papers UWEC-2002-18-P, University of Washington, Department of Economics.
  4. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
  5. Gourinchas, Pierre-Olivier & Tornell, Aaron, 2004. "Exchange rate puzzles and distorted beliefs," Journal of International Economics, Elsevier, vol. 64(2), pages 303-333, December.
  6. Sergei Sarkissian, 2003. "Incomplete Consumption Risk Sharing and Currency Risk Premiums," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 983-1005, July.
  7. Thomas D. Tallarini, Jr. & Harold H. Zhang, 2005. "External Habit and the Cyclicality of Expected Stock Returns," The Journal of Business, University of Chicago Press, vol. 78(3), pages 1023-1048, May.
  8. Daniel E. Sichel, 1989. "Business cycle asymmetry: a deeper look," Working Paper Series / Economic Activity Section 93, Board of Governors of the Federal Reserve System (U.S.).
  9. Adrien Verdelhan & Hanno Lustig, 2005. "The Cross-Section Of Foreign Currency Risk Premia And Consumption Growth Risk," Boston University - Department of Economics - Working Papers Series WP2005-019, Boston University - Department of Economics.
  10. V.V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2000. "Can Sticky Price Models Generate Volatile and Persistent Real Exchange Rates?," NBER Working Papers 7869, National Bureau of Economic Research, Inc.
  11. Saikkonen, Pentti & Luukkonen, Ritva, 1993. "Point Optimal Tests for Testing the Order of Differencing in ARIMA Models," Econometric Theory, Cambridge University Press, vol. 9(03), pages 343-362, June.
  12. Daniel E. Sichel, 1992. "Inventories and the three phases of the business cycle," Working Paper Series / Economic Activity Section 128, Board of Governors of the Federal Reserve System (U.S.).
  13. James D. Hamilton & Daniel F. Waggoner & Tao Zha, 2007. "Normalization in Econometrics," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 221-252.
  14. Maurice Obstfeld and Kenneth Rogoff., 2000. "The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?," Center for International and Development Economics Research (CIDER) Working Papers C00-112, University of California at Berkeley.
  15. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
  16. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
  17. John Y. Campbell & John H. Cochrane, 1994. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," CRSP working papers 412, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  18. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, 08.
  19. Brandt, Michael & Cochrane, John & Santa-Clara, Pedro, 2001. "International Risk Sharing is Better Than You Think (or Exchange Rates are Much Too Smooth!," University of California at Los Angeles, Anderson Graduate School of Management qt1jw137zd, Anderson Graduate School of Management, UCLA.
  20. 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.
  21. Bams, Dennis & Walkowiak, Kim & Wolff, Christian C. P., 2004. "More evidence on the dollar risk premium in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 23(2), pages 271-282, March.
  22. Zarnowitz, Victor & Ozyildirim, Ataman, 2006. "Time series decomposition and measurement of business cycles, trends and growth cycles," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1717-1739, October.
  23. David K. Backus, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, 02.
  24. Lars Ljungqvist & Harald Uhlig, 2009. "Optimal Endowment Destruction under Campbell-Cochrane Habit Formation," NBER Working Papers 14772, National Bureau of Economic Research, Inc.
  25. Lior Menzly & Tano Santos & Pietro Veronesi, 2002. "The Time Series of the Cross Section of Asset Prices," NBER Working Papers 9217, National Bureau of Economic Research, Inc.
  26. Stock, James H & Watson, Mark W, 1988. "Variable Trends in Economic Time Series," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 147-74, Summer.
  27. Moore, Michael J. & Roche, Maurice J., 2002. "Less of a puzzle: a new look at the forward forex market," Journal of International Economics, Elsevier, vol. 58(2), pages 387-411, December.
  28. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  29. Kim, C-J., 1991. "Dynamic Linear Models with Markov-Switching," Papers 91-8, York (Canada) - Department of Economics.
  30. Jordi Gali, 1996. "Technology, Employment, and the Business Cycle: Do Technology Shocks Explain Aggregate Fluctuations," NBER Working Papers 5721, National Bureau of Economic Research, Inc.
  31. Maurice Obstfeld & Kenneth Rogoff, 1996. "Exchange Rate Dynamics Redux," NBER Working Papers 4693, National Bureau of Economic Research, Inc.
  32. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-80, July.
  33. James H. Stock & Mark W. Watson, 1998. "Business Cycle Fluctuations in U.S. Macroeconomic Time Series," NBER Working Papers 6528, National Bureau of Economic Research, Inc.
  34. Giordani, Paolo & Kohn, Robert & van Dijk, Dick, 2007. "A unified approach to nonlinearity, structural change, and outliers," Journal of Econometrics, Elsevier, vol. 137(1), pages 112-133, March.
  35. Richard K. Lyons, 2006. "The Microstructure Approach to Exchange Rates," MIT Press Books, The MIT Press, edition 1, volume 1, number 026262205x, January.
  36. John H. Cochrane & Lars Peter Hansen, 1993. "Asset Pricing Explorations for Macroeconomics," NBER Working Papers 4088, National Bureau of Economic Research, Inc.
  37. Timothy Cogley & James M. Nason, 1993. "Output dynamics in real business cycle models," Working Papers in Applied Economic Theory 93-10, Federal Reserve Bank of San Francisco.
  38. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1991. "Stochastic trends and economic fluctuations," Working Paper Series, Macroeconomic Issues 91-4, Federal Reserve Bank of Chicago.
  39. Charles Engel, 1999. "On the Foreign Exchange Risk Premium in Sticky-Price General Equilibrium Models," International Tax and Public Finance, Springer, vol. 6(4), pages 491-505, November.
  40. Robert J. Hodrick & Edward Prescott, 1981. "Post-War U.S. Business Cycles: An Empirical Investigation," Discussion Papers 451, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  41. Hanno Lustig & Adrien Verdelhan, 2004. "The Cross-Section of Foreign Currency Risk Premia and US Consumption Growth Risk," 2004 Meeting Papers 136c, Society for Economic Dynamics.
  42. David K. Backus & Gregor W. Smith, 1993. "Consumption and Real Exchange Rates in Dynamic Economies with Non-Traded Goods," Working Papers 1252, Queen's University, Department of Economics.
  43. Sargan, J D & Bhargava, Alok, 1983. "Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors When the Root Lies on the Unit Circle," Econometrica, Econometric Society, vol. 51(3), pages 799-820, May.
  44. James H. Stock & Mark W. Watson, 2003. "Has the Business Cycle Changed and Why?," NBER Chapters, in: NBER Macroeconomics Annual 2002, Volume 17, pages 159-230 National Bureau of Economic Research, Inc.
  45. Dotsey, Michael & Lantz, Carl & Scholl, Brian, 2003. " The Behavior of the Real Rate of Interest," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 91-110, February.
  46. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," NBER Working Papers 10480, National Bureau of Economic Research, Inc.
  47. Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-92, Summer.
  48. Bekaert, Geert, 1996. "The Time Variation of Risk and Return in Foreign Exchange Markets: A General Equilibrium Perspective," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 427-70.
  49. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," NBER Working Papers 3153, National Bureau of Economic Research, Inc.
  50. Harvey, A.C. & Trimbur, T.M., 2001. "General Model-based Filters for Extracting Cycles and Trends in Economic Time Series," Cambridge Working Papers in Economics 0113, Faculty of Economics, University of Cambridge.
  51. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
  52. Kum Hwa Oh & Eric Zivot, 2006. "The Clark Model with Correlated Components," Working Papers UWEC-2006-06, University of Washington, Department of Economics.
  53. Morley, James C., 2002. "A state-space approach to calculating the Beveridge-Nelson decomposition," Economics Letters, Elsevier, vol. 75(1), pages 123-127, March.
  54. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  55. 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.
  56. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
  57. Lettau, M. & Uhlig, H., 1995. "Can Habit Formation be Reconciled with Business Cycle Facts?," Discussion Paper 1995-54, Tilburg University, Center for Economic Research.
  58. Hollifield, Burton & Uppal, Raman, 1997. " An Examination of Uncovered Interest Rate Parity in Segmented International Commodity Markets," Journal of Finance, American Finance Association, vol. 52(5), pages 2145-70, December.
  59. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-28, April.
  60. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July.
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 in new window

Cited by:
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:bos:wpaper:wp2009-006. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Courtney Sullivan).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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