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Stochastic Capital Depreciation and the Comovement of Hours and Productivity

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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 labor 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 nonlinear 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 nonlinear decision rules. This approach allows for nonlinear 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 powerfull extension to DSGE models.

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Paper provided by Swiss National Bank, Study Center Gerzensee in its series Working Papers with number 02.01.

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Length: 32 pages
Date of creation: Jan 2002
Handle: RePEc:szg:worpap:0201
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  1. Nancy L. Stokey & Sergio Rebelo, 1993. "Growth Effects of Flat-Rate Taxes," NBER Working Papers 4426, National Bureau of Economic Research, Inc.
  2. David Andolfatto & Paul Gomme, 1997. "Monetary Policy Regimes and Beliefs," Working Papers 97002, University of Waterloo, Department of Economics, revised Jan 1997.
  3. Ben Bernanke & Mark Gertler & Simon Gilchrist, 1998. "The Financial Accelerator in a Quantitative Business Cycle Framework," NBER Working Papers 6455, National Bureau of Economic Research, Inc.
  4. 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.
  5. John H. Cochrane, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 109(1), pages 241-265.
  6. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Monetary shocks, agency costs, and business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 54(1), pages 1-27, June.
  7. Omar Licandro & Luis A. Puch, 2000. "Capital Utilization, Maintenance Costs and the Business Cycle," Annals of Economics and Statistics, GENES, issue 58, pages 143-164.
  8. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1995. "Sectoral Solow residuals," Working Paper Series, Macroeconomic Issues 95-15, Federal Reserve Bank of Chicago.
  9. Simon Gilchrist & John C. Williams, 1998. "Putty-Clay and Investment: A Business Cycle Analysis," NBER Working Papers 6812, National Bureau of Economic Research, Inc.
  10. 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 402-417, June.
  11. Karim Abadir & Gabriel Talmain, "undated". "Depreciation Rates and Capital Stocks," Discussion Papers 98/3, Department of Economics, University of York.
  12. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007 Elsevier.
  13. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  14. 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.
  15. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  16. Timothy Cogley, 1997. "Evaluating non-structural measures of the business cycle," Economic Review, Federal Reserve Bank of San Francisco, pages 3-21.
  17. Robert G. King & Alexander L. Wolman, 1996. "Inflation Targeting in a St. Louis Model of the 21st Century," NBER Working Papers 5507, National Bureau of Economic Research, Inc.
  18. 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 101-116, February.
  19. repec:adr:anecst:y:2000:i:58 is not listed on IDEAS
  20. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
  21. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
  22. 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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