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On rational exuberance

In his seminal contribution, Tirole (1985) shows that an overlapping generations economy may monotonically converges to a steady state with a positive rational bubble, characterized by the dynamically efficient golden rule. The issue we address is whether this monotonic convergence to an efficient long-run equilibrium may fail, while the economy experiences persistent endogenous fluctuations around the golden rule. Our explanation leads on the features of the credit market. We consider a simple overlapping generations model with three assets : money, capital and a pure bubble (bonds). Collateral matters because increasing his portfolio in capital and bubble, the household reduces the share of his consumption paid by cash. From a positive point of view, we show that the bubbly steady state can be locally indeterminate under arbitrarily small credit market imperfections and, thereby, persistent expectation-driven fluctuations of equilibria with (rational) bubbles can arise. From a normative point of view, monetary policies that are not too expansive, are recommended in order to rule out the occurence of sunspot fluctuations and enhance the welfare evaluated at the steady state.

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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 09004.

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Length: 30 pages
Date of creation: Jan 2009
Date of revision:
Handle: RePEc:mse:cesdoc:09004
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  1. repec:cup:cbooks:9780521001151 is not listed on IDEAS
  2. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-36, June.
  3. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
  4. Philippe Michel & Bertrand Wigniolle, 2005. "Cash-in-advance constraints, bubbles and monetary policy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00268861, HAL.
  5. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  6. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
  7. Azariadis, Costas & Reichlin, Pietro, 1996. "Increasing returns and crowding out," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 847-877, May.
  8. Michel, Philippe & Wigniolle, Bertrand, 2003. "Temporary bubbles," Journal of Economic Theory, Elsevier, vol. 112(1), pages 173-183, September.
  9. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  10. Bosi, Stefano & Magris, Francesco, 2003. "Indeterminacy and endogenous fluctuations with arbitrarily small liquidity constraint," Research in Economics, Elsevier, vol. 57(1), pages 39-51, March.
  11. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-74, May.
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