Stochastic growth with short-run prediction of shocks
We study a variation of the one-sector stochastic optimal growth model with independent and identically distributed shocks where agents acquire information that enables them to accurately predict the next period’s productivity shock (but not shocks in later periods). Optimal policy depends on the forthcoming shock. A “better” predicted realization of the shock that increases both marginal and total product always increases next period’s optimal output. We derive conditions on the degree of relative risk aversion and the elasticity of marginal product under which optimal investment increases or decreases with a better shock. Under fairly regular restrictions, optimal outputs converge in distribution to a unique invariant distribution whose support is bounded away from zero. We derive explicit solutions to the optimal policy for three well-known families of production and utility functions and use these to show that volatility of output, sensitivity of output to shocks, and expected total investment may be higher or lower than in the standard model where no new information is acquired over time; the limiting steady state may also differ significantly from that in the standard model. Copyright Springer-Verlag 2012
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Volume (Year): 51 (2012)
Issue (Month): 3 (November)
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- Donaldson, John B. & Mehra, Rajnish, 1983. "Stochastic growth with correlated production shocks," Journal of Economic Theory, Elsevier, vol. 29(2), pages 282-312, April.
- Danthine, Jean-Pierre & Donaldson, John B & Johnsen, Thore, 1998.
"Productivity Growth, Consumer Confidence and the Business Cycle,"
CEPR Discussion Papers
1779, C.E.P.R. Discussion Papers.
- Danthine, Jean-Pierre & Donaldson, John B. & Johnsen, Thore, 1998. "Productivity growth, consumer confidence and the business cycle," European Economic Review, Elsevier, vol. 42(6), pages 1113-1140, June.
- Jean-Pierre DANTHINE & John B. DONALDSON & Thore JOHNSEN, 1997. "Productivity Growth, Consumer Confidence and the Business Cycle," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9711, Université de Lausanne, Faculté des HEC, DEEP.
- Demers, Michel, 1991. "Investment under Uncertainty, Irreversibility and the Arrival of Information over Time," Review of Economic Studies, Wiley Blackwell, vol. 58(2), pages 333-50, April.
- Tapan Mitra & Luigi Montrucchio & Fabio Privileggi, 2003.
"The nature of the steady state in models of optimal growth under uncertainty,"
Springer, vol. 23(1), pages 39-71, December.
- Mitra, Tapan & Montrucchio, Luigi & Privileggi, Fabio, 2001. "The Nature of the Steady State in Models of Optimal Growth Under Uncertainty," Working Papers 01-04, Cornell University, Center for Analytic Economics.
- Tapan Mitra & Santanu Roy, 2006.
"Optimal exploitation of renewable resources under uncertainty and the extinction of species,"
Springer, vol. 28(1), pages 1-23, 05.
- Mitra, Tapan & Roy, Santanu, 2003. "Optimal Exploitation of Renewable Resources under Uncertainty and the Extinction of Species," Working Papers 03-10, Cornell University, Center for Analytic Economics.
- Rabi Bhattacharya & Mukul Majumdar, 2003. "Random dynamical systems: a review," Economic Theory, Springer, vol. 23(1), pages 13-38, December.
- Christopher Costello & Stephen Polasky & Andrew Solow, 2001. "Renewable resource management with environmental prediction," Canadian Journal of Economics, Canadian Economics Association, vol. 34(1), pages 196-211, February.
- Freixas, Xavier, 1981. "Optimal growth with experimentation," Journal of Economic Theory, Elsevier, vol. 24(2), pages 296-309, April.
- Schmitt-Grohé, Stephanie & Uribe, Martín, 2009.
"What’s News in Business Cycles,"
CEPR Discussion Papers
7201, C.E.P.R. Discussion Papers.
- de Hek, Paul & Roy, Santanu, 2001. "On Sustained Growth under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 801-13, August.
- Beaudry, Paul & Portier, Franck, 2001.
"An Exploration into Pigou's Theory of Cycles,"
CEPR Discussion Papers
2996, C.E.P.R. Discussion Papers.
- Christos Koulovatianos & Leonard J. Mirman & Marc Santugini, 2007.
"Optimal Growth and Uncertainty: Learning,"
Cahiers de recherche
07-05, HEC Montréal, Institut d'économie appliquée, revised Feb 2008.
- Mirman, L.J. & Samuelson, L. & Urbano, A., 1989.
8-89-7, Pennsylvania State - Department of Economics.
- Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
- de Hek, Paul A, 1999. "On Endogenous Growth under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 727-44, August.
- Aaron S. Edlin and Chris Shannon., 1995.
"Strict Monotonicity in Comparative Statics,"
Economics Working Papers
95-238, University of California at Berkeley.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
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