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Stochastic Capital Depreciation and the Comovement of Hours and Productivity

  • Dittmar, Robert
  • Dueker, Michael
  • Fischer, Andreas M

In this article, we demonstrate that a small degree of stochastic variation in the depreciation rate of capital can greatly reduce the comovement between hours worked and labour productivity in a neoclassical growth model. The depreciation rate is modeled as a Markov process to place a strict upper bound and to ensure that variation and not the level of the rate is driving the result. Markov switching implies non-linear decision rules in the dynamic stochastic general equilibrium model (DSGE). Our contribution to DSGE solution methodologies in the presence of Markov switching is to apply Judd's (1998) projection method to non-linear decision rules. This approach allows for non-linear decision rules in a richer set of models with many more state variables than can be solved with grid-based approximations. The results presented here suggest that Markov switching parameters offer a powerful extension to DSGE models.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3192.

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Date of creation: Feb 2002
Date of revision:
Handle: RePEc:cpr:ceprdp:3192
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  1. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October.
  2. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Monetary shocks, agency costs, and business cycles," Working Paper 0011, Federal Reserve Bank of Cleveland.
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  4. David Andolfatto & Paul Gomme, 2001. "Monetary policy regimes and beliefs," Working Paper 9905, Federal Reserve Bank of Cleveland.
  5. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393 Elsevier.
  6. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  7. Nancy L. Stokey & Sergio Rebelo, 1993. "Growth Effects of Flat-Rate Taxes," NBER Working Papers 4426, National Bureau of Economic Research, Inc.
  8. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1995. "Sectoral Solow residuals," Working Paper Series, Macroeconomic Issues 95-15, Federal Reserve Bank of Chicago.
  9. Robert G. King & Alexander L. Wolman, 1996. "Inflation targeting in a St. Louis model of the 21st century," Review, Federal Reserve Bank of St. Louis, issue May, pages 83-107.
  10. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  11. Steve Ambler & Alain Paquet, 1992. "Stochastic Depreciation and the Business Cycle Puzzle," Cahiers de recherche CREFE / CREFE Working Papers 8, CREFE, Université du Québec à Montréal.
  12. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  13. Ambler, Steve & Paquet, Alain, 1994. "Stochastic Depreciation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 101-16, February.
  14. Cochrane, John H, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 109(1), pages 241-65, February.
  15. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
  16. Timothy Cogley, 1997. "Evaluating non-structural measures of the business cycle," Economic Review, Federal Reserve Bank of San Francisco, pages 3-21.
  17. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
  18. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 2-13.
  19. Abadir, Karim & Talmain, Gabriel, 2001. "Depreciation Rates and Capital Stocks," Manchester School, University of Manchester, vol. 69(1), pages 42-51, January.
  20. Fangxiong Gong, 1995. "Regime-switching monetary policy and real business cycle fluctuations," Research Paper 9528, Federal Reserve Bank of New York.
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