Stochastic Capital Depreciation and the Comovement of Hours and Productivity
AbstractIn 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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Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3192.
Date of creation: Feb 2002
Date of revision:
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Other versions of this item:
- Dueker Michael & Fischer Andreas & Dittmar Robert, 2007. "Stochastic Capital Depreciation and the Co-movement of Hours and Productivity," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(3), pages 1-24, January.
- Michael Dueker & Andreas Fischer & Robert D. Dittmar, 2002. "Stochastic Capital Depreciation and the Comovement of Hours and Productivity," Working Papers 02.01, Swiss National Bank, Study Center Gerzensee.
- Michael J. Dueker & Andreas M. Fischer & Robert D. Dittmar, 2004. "Stochastic capital depreciation and the comovement of hours and productivity," Working Papers 2002-003, Federal Reserve Bank of St. Louis.
- Fischer, Andreas & Michael J Dueker & Robert D Dittmar, 2003. "Stochastic Capital Depreciation and the Comovement of Hours and Productivity," Royal Economic Society Annual Conference 2003 80, Royal Economic Society.
- E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-03-14 (All new papers)
- NEP-DGE-2003-03-14 (Dynamic General Equilibrium)
- NEP-MAC-2003-03-14 (Macroeconomics)
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