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Stochastic Capital Depreciation and the Comovement of Hours and Productivity

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
Date of revision:
Handle: RePEc:szg:worpap:0201
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  1. 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.
  2. 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.
  3. 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.
  4. repec:adr:anecst:y:2000:i:58 is not listed on IDEAS
  5. Abadir, Karim & Talmain, Gabriel, 2001. "Depreciation Rates and Capital Stocks," Manchester School, University of Manchester, vol. 69(1), pages 42-51, January.
  6. David Andolfatto & Paul Gomme, 1997. "Monetary Policy Regimes and Beliefs," Working Papers 97002, University of Waterloo, Department of Economics, revised Jan 1997.
  7. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  8. 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.
  9. Fangxiong Gong, 1995. "Regime-switching monetary policy and real business cycle fluctuations," Research Paper 9528, Federal Reserve Bank of New York.
  10. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1995. "Sectoral Solow residuals," Working Paper Series, Macroeconomic Issues 95-15, Federal Reserve Bank of Chicago.
  11. Bernanke, B. & Gertler, M. & Gilchrist, S., 1998. "The Financial Accelerator in a Quantitative Business Cycle Framework," Working Papers 98-03, C.V. Starr Center for Applied Economics, New York University.
  12. 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.
  13. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
  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. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  16. 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.
  17. 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.
  18. 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.
  19. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-50, June.
  20. Puch, Luis A. & Licandro, Omar, 1995. "Capital utilization: maintenance costs and the business cycle," UC3M Working papers. Economics 3917, Universidad Carlos III de Madrid. Departamento de Economía.
  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. Timothy Cogley, 1997. "Evaluating non-structural measures of the business cycle," Economic Review, Federal Reserve Bank of San Francisco, pages 3-21.
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