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Stochastic Capital Depreciation and the Comovement of Hours and Productivity

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Author Info
Michael Dueker () (Federal Reserve Bank of St. Louis)
Andreas Fischer () (Swiss National Bank)
Robert D. Dittmar () (Federal Reserve Bank of St. Louis)

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Abstract

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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Publisher Info
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
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Handle: RePEc:szg:worpap:0201

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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. 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.
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  3. Andreas Hornstein & Per Krusell, 1996. "Can Technology Improvements Cause Productivity Slowdowns?," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 209-276 National Bureau of Economic Research, Inc. [Downloadable!]
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  6. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
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  15. 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. [Downloadable!] (restricted)
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  17. David Andolfatto & Paul Gomme, 1997. "Monetary Policy Regimes and Beliefs," Cahiers de recherche CREFE / CREFE Working Papers 48, CREFE, Université du Québec à Montréal, revised Apr 2001. [Downloadable!]
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  18. 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. [Downloadable!] (restricted)
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  19. Lee, Bun Song, 1978. "Measurement of Capital Depreciation within the Japanese Fishing Fleet," The Review of Economics and Statistics, MIT Press, vol. 60(2), pages 225-37, May. [Downloadable!] (restricted)
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  25. W. A. Broock & J. A. Scheinkman & W. D. Dechert & B. LeBaron, 1996. "A test for independence based on the correlation dimension," Econometric Reviews, Taylor and Francis Journals, vol. 15(3), pages 197-235. [Downloadable!] (restricted)
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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. Inwon Jang & Richard Wong & Hyeon-seung Huh, 2008. "Optimal capital investment under uncertainty: An extension," Economics Bulletin, Economics Bulletin, vol. 5(4), pages 1-7. [Downloadable!]
  2. Paul Pichler, 2007. "On the accuracy of low-order projection methods," Economics Bulletin, Economics Bulletin, vol. 3(50), pages 1-8. [Downloadable!]
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