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Small sample properties of GMM for business cycle analysis

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Author Info
Lawrence J. Christiano
Wouter Den Haan

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Abstract

We investigate, by Monte Carlo methods, the finite sample properties of GMM procedures for conducting inference about statistics that are of interest in the business cycle literature. These statistics include the second moments of data filtered using the first difference and Hodrick-Prescott filters, and they include statistics for evaluating model fit. Our results indicate that, for the procedures considered, the existing asymptotic theory is not a good guide in a sample the size of quarterly postwar U.S. data.

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Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number 199.

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Date of creation: 1995
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Handle: RePEc:fip:fedmsr:199

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Keywords: Business cycles;

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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.:
  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
    Other versions:
  3. Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1994. "Dynamics of the Trade Balance and the Terms of Trade: The J-Curve?," American Economic Review, American Economic Association, vol. 84(1), pages 84-103, March. [Downloadable!] (restricted)
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  4. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  5. Craig Burnside & Martin Eichenbaum, 1994. "Small Sample Properties of Generalized Method of Moments Based Wald Tests," NBER Technical Working Papers 0155, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Anton Braun, R., 1994. "Tax disturbances and real economic activity in the postwar United States," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 441-462, June. [Downloadable!] (restricted)
  7. Marshall, David A, 1992. " Inflation and Asset Returns in a Monetary Economy," Journal of Finance, American Finance Association, vol. 47(4), pages 1315-42, September. [Downloadable!] (restricted)
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  9. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-50, June. [Downloadable!] (restricted)
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  10. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1993. "Labor Hoarding and the Business Cycle," NBER Working Papers 3556, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-53, October. [Downloadable!] (restricted)
  12. Den Haan, Wouter J & Marcet, Albert, 1994. "Accuracy in Simulations," Review of Economic Studies, Blackwell Publishing, vol. 61(1), pages 3-17, January. [Downloadable!] (restricted)
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  13. Braun, R. Anton & Evans, Charles L., 1995. "Seasonality and equilibrium business cycle theories," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 503-531, April. [Downloadable!] (restricted)
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  14. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October. [Downloadable!] (restricted)
  15. Fisher, Jonas D. M., 1997. "Relative prices, complementarities and comovement among components of aggregate expenditures," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 449-474, August. [Downloadable!] (restricted)
  16. Wouter J. den Haan & Andrew Levin, 1994. "Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures," University of California at San Diego, Economics Working Paper Series 94-30, Department of Economics, UC San Diego.
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  17. Timothy Cogley & James M. Nason, 1993. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series: implications for business cycle research," Working Papers in Applied Economic Theory 93-01, Federal Reserve Bank of San Francisco.
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  18. Ericsson, Neil R, 1991. "Monte Carlo Methodology and the Finite Sample Properties of Instrumental Variables Statistics for Testing Nested and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 59(5), pages 1249-77, September. [Downloadable!] (restricted)
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  20. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February. [Downloadable!] (restricted)
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  22. David K. Backus & Patrick J. Kehoe, 1992. "International Evidence on the Historical Properties of Business Cycles," Working Papers 92-5, New York University, Leonard N. Stern School of Business, Department of Economics.
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  23. Backus, David K. & Gregory, Allan W. & Zin, Stanley E., 1989. "Risk premiums in the term structure : Evidence from artificial economies," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 371-399, November. [Downloadable!] (restricted)
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  24. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September. [Downloadable!] (restricted)
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  25. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231. [Downloadable!] (restricted)
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  26. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-50, July.
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  27. Ogaki, M., 1992. "An Introduction to the Generalized Method of Moments," RCER Working Papers 314, University of Rochester - Center for Economic Research (RCER).
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  29. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November. [Downloadable!] (restricted)
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  30. Kenneth D. West & David W. Wilcox, 1993. "Some Evidence on Finite Sample Behavior of an Instrumental Variables Estimator of the Linear Quadtratic Inventory Model," NBER Technical Working Papers 0139, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  31. den Haan, Wouter J., 1995. "The term structure of interest rates in real and monetary economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 909-940. [Downloadable!] (restricted)
  32. Cecchetti, Stephen G. & Lam, Pok-sang & Mark, Nelson C., 1993. "The equity premium and the risk-free rate : Matching the moments," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 21-45, February. [Downloadable!] (restricted)
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  33. Jeffrey Fuhrer & George Moore & Scott Schuh, 1993. "Estimating the linear-quadratic inventory model: maximum likelihood versus generalized method of moments," Finance and Economics Discussion Series 93-11, Board of Governors of the Federal Reserve System (U.S.).
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  34. R. Anton Braun & Charles L. Evans, 1991. "Seasonal Solow residuals and Christmas: a case for labor hoarding and increasing returns," Working Paper Series, Macroeconomic Issues 91-20, Federal Reserve Bank of Chicago.
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  35. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Blackwell Publishing, vol. 61(4), pages 631-53, October. [Downloadable!] (restricted)
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  36. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280. [Downloadable!] (restricted)
  37. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 397-416, October.
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Full references

Cited by:
(explanations, 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.)

  1. Lawrence J. Christiano & Richard M. Todd, 2000. "The Conventional Treatment of Seasonality in Business Cycle Analysis: Does it Create Distortions?," NBER Technical Working Papers 0266, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Craig Burnside & Martin Eichenbaum, 1994. "Small Sample Properties of Generalized Method of Moments Based Wald Tests," NBER Technical Working Papers 0155, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Paul Levine & Joseph Pearlman & Peter Welz, 2008. "Robust Inflation-Targeting Rules and the Gains from International Policy Coordination," Department of Economics Discussion Papers 0208, Department of Economics, University of Surrey. [Downloadable!]
  4. Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band Pass Filter," NBER Working Papers 7257, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
    • Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band pass filter," Working Paper 9906, Federal Reserve Bank of Cleveland. [Downloadable!]
    • Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05. [Downloadable!] (restricted)
  5. Paul Gao & Kevin X.D. Huang, 2004. "Aggregate consumption-wealth ratio and the cross-section of stock returns: some international evidence," Research Working Paper RWP 04-07, Federal Reserve Bank of Kansas City. [Downloadable!]
  6. Craig Burnside & Martin Eichenbaum, 1994. "Factor Hoarding and the Propagation of Business Cycles Shocks," NBER Working Papers 4675, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Yongmiao Hong & Jin Lee, 2000. "Wavelet-based Estimation for Heteroskedasticity and Autocorrelation Consistent Variance-Covariance Matrices," Econometric Society World Congress 2000 Contributed Papers 1211, Econometric Society. [Downloadable!]
  8. Peter Welz, 2006. "Assessing predetermined expectations in the standard sticky-price model - a Bayesian approach," Working Paper Series 621, European Central Bank. [Downloadable!]
  9. Christopher Otrok, 2000. "On Measuring the Welfare Cost of Business Cycles," Econometric Society World Congress 2000 Contributed Papers 1094, Econometric Society. [Downloadable!]
    Other versions:
  10. Alok Johri and Marc-André Letendre, 2006. "What do “residuals” from first-order conditions reveal about DGE models?," Department of Economics Working Papers 2006-01, McMaster University. [Downloadable!]
    Other versions:
  11. Wouter J. Den Haan & Andrew Levin, 1996. "Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures," NBER Technical Working Papers 0195, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  12. Zacharias Psaradakis & Martin Sola, 2003. "On detrending and cyclical asymmetry," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(3), pages 271-289. [Downloadable!]
    Other versions:
  13. RUGE-MURCIA, Francisco J., 2003. "Methods to Estimate Dynamic Stochastic General Equilibrium Models," Cahiers de recherche 17-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
    Other versions:
  14. Pablo A. Guerron, 2006. "Time-Dependent Portfolio Adjustment: Yet Another Look at the Dynamics," Working Paper Series 006, North Carolina State University, Department of Economics, revised Aug 2006. [Downloadable!]
  15. Serigne N. Lo & Elvezio Ronchetti, 2006. "Robust Small Sample Accurate Inference in Moment Condition Models," Cahiers du Département d'Econométrie 2006.04, Département d'Econométrie, Université de Genève. [Downloadable!]
  16. Michael R. Pakko, 1997. "The cyclical relationship between output and prices: an analysis in the frequency domain," Working Papers 1997-007, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  17. Wouter J. den Haan & Andrew Levin, 1996. "A Practitioner's Guide to Robust Covariance Matrix Estimation," University of California at San Diego, Economics Working Paper Series 96-17, Department of Economics, UC San Diego. [Downloadable!]
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  18. Alexander Ludwig, 2005. "Moment estimation in Auerbach-Kotlikoff models: How well do they match the data?," MEA discussion paper series 05093, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
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