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Determinacy with Capital Adjustment Costs and Sector-Specific Externalities

  • Herrendorf, Berthold
  • Valentinyi, Akos

This Paper explores the stability properties of the steady state in the standard two-sector real business cycle model with a sector-specific externality in the capital-producing sector. When the steady state is stable then equilibrium is indeterminate and stable sunspots are possible. We find that capital adjustment costs of any size preclude stable sunspots for every empirically plausible specification of the model parameters. More specifically, we show that when capital adjustment costs of any size are considered, a necessary condition for the existence of stable sunspots is an upward-sloping labour demand curve in the capital-producing sector, which in turn requires an implausibly strong externality. This result contrasts sharply with the standard result that when we abstract from capital adjustment costs, stable sunspots occur in the two-sector model for a wide range of plausible parameter values.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2665.

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Date of creation: Jan 2001
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Handle: RePEc:cpr:ceprdp:2665
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  1. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1995. "Capital Utilization and Returns to Scale," NBER Chapters, in: NBER Macroeconomics Annual 1995, Volume 10, pages 67-124 National Bureau of Economic Research, Inc.
  2. Howitt, P. & Mcfee, R.P., 1990. "Animal Spirits," UWO Department of Economics Working Papers 9005, University of Western Ontario, Department of Economics.
  3. Michele Boldrin & Lawrence J. Christiano & Jonas D.M. Fisher, 1999. "Habit persistence, asset returns and the business cycles," Working Paper Series WP-99-14, Federal Reserve Bank of Chicago.
  4. Jinill Kim, 1998. "Indeterminacy and investment adjustment costs," Finance and Economics Discussion Series 1998-38, Board of Governors of the Federal Reserve System (U.S.).
  5. Ortigueira, Salvador & Santos, Manuel S, 1997. "On the Speed of Convergence in Endogenous Growth Models," American Economic Review, American Economic Association, vol. 87(3), pages 383-99, June.
  6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  7. Gali Jordi, 1994. "Local Externalities, Convex Adjustment Costs, and Sunspot Equilibria," Journal of Economic Theory, Elsevier, vol. 64(1), pages 242-252, October.
  8. Frankel, David M. & Pauzner, Ady, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," Staff General Research Papers 11924, Iowa State University, Department of Economics.
  9. Harrison, Sharon G. & Weder, Mark, 2002. "Tracing externalities as sources of indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 851-867, May.
  10. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March.
  11. Abel, Andrew B., 1990. "Consumption and investment," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 14, pages 725-778 Elsevier.
  12. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-83, April.
  13. Bartelsman, Eric J & Caballero, Ricardo J & Lyons, Richard K, 1994. "Customer- and Supplier-Driven Externalities," American Economic Review, American Economic Association, vol. 84(4), pages 1075-84, September.
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