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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
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Handle: RePEc:cpr:ceprdp:3192
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  1. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
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  16. Abadir, Karim & Talmain, Gabriel, 2001. "Depreciation Rates and Capital Stocks," Manchester School, University of Manchester, vol. 69(1), pages 42-51, January.
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  18. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
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  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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