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 labor productivity in a neoclassical growth model. The depreciation rate is modeled as a Markov process, as opposed to a linear autoregressive 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 solving DSGE models with Markov switching is to apply Judd's (1998) projection method to capture the nonlinearity in the 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 powerful extension to DSGE models.
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Bibliographic InfoPaper provided by Royal Economic Society in its series Royal Economic Society Annual Conference 2003 with number 80.
Date of creation: 04 Jun 2003
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Marov switching; nonlinear decision rules; hours-productivity corr.;
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.
- Dittmar, Robert & Dueker, Michael & Fischer, Andreas M, 2002. "Stochastic Capital Depreciation and the Comovement of Hours and Productivity," CEPR Discussion Papers 3192, C.E.P.R. Discussion Papers.
- 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.
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- 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
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