Optimal growth and the golden rule in a two-sector model of capital accumulation
We contribute to the literature on optimal growth in two-sector models by solving a Ram- sey problem with a concave utility function. The unique possible steady-state is independent of initial conditions and of the instantaneous utility function, but not of the discount rate, and is characterized by a wage-rental ratio depending solely on the technology of the capital sector. For an initially low-capital economy, we show that the wage-rental ratio increasingly converges to its balanced value during transition. If the consumption sector is relatively capital-intensive, the relative price of capital increases during transition. If the investment sector is relatively more capital-intensive, it decreases. We also prove that a negative shock on the subjective rate of impatience, that makes the social planner more patient, leads to an immediate positive jump in asset prices.
|Date of creation:||Feb 2011|
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- Luca Gambetti & Jordi Galí, 2009.
"On the Sources of the Great Moderation,"
American Economic Journal: Macroeconomics,
American Economic Association, vol. 1(1), pages 26-57, January.
- Galí, Jordi & Gambetti, Luca, 2008. "On the Sources of the Great Moderation," CEPR Discussion Papers 6632, C.E.P.R. Discussion Papers.
- Jordi Gali & Luca Gambetti, 2008. "On the Sources of the Great Moderation," NBER Working Papers 14171, National Bureau of Economic Research, Inc.
- Jordi Galí & Luca Gambetti, 2006. "On the sources of the Great Moderation," Economics Working Papers 1041, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 2007.
- Greenwood, Jeremy & Yorukoglu, Mehmet, 1997.
Carnegie-Rochester Conference Series on Public Policy,
Elsevier, vol. 46(1), pages 49-95, June.
- Michael Gort & Jeremy Greenwood & Peter Rupert, 1999. "How much of economic growth is fueled by investment-specific technological progress?," Economic Commentary, Federal Reserve Bank of Cleveland, issue Mar.
- Cremers, Emily T., 2006. "Dynamic efficiency in the two-sector overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 1915-1936, November.
- Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
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