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Information Cycles and Depression in a Stochastic Money-in-Utility Model

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  • Horii, Ryo
  • Ono, Yoshiyasu

Abstract

This paper presents a simple model in which the learning behavior of agents generates fluctuations in money demand and possibly causes a prolonged depression. We consider a stochastic Money-in-Utility model, where agents receive utility from holding money only when a liquidity shock (e.g., a bank run) occurs. Households update the subjective probability of the shock based on the observation and change their money demand accordingly. In this setting, we first derive a stationary cycles under perfect price adjustment, which is characterized by periods of gradual inflation and sudden sporadic falls of the price level. When the nominal stickiness is introduced, the liquidity shock is followed by a period of low output. We show that the adverse effects of the shocks are largest when they occur in succession in an economy which has enjoyed a long period of stability.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 13485.

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Date of creation: 18 Feb 2009
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Handle: RePEc:pra:mprapa:13485

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Keywords: Bayesian Learning; Money Demand; Hamilton-Jacobi-Bellman Equations; Markov Modulated Poisson Processes; Partial Delay Differential Equations;

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  1. Zeira, Joseph, 1994. "Informational Cycles," Review of Economic Studies, Wiley Blackwell, vol. 61(1), pages 31-44, January.
  2. Farzin, Y. H. & Huisman, K. J. M. & Kort, P. M., 1998. "Optimal timing of technology adoption," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 779-799, May.
  3. Van Nieuwerburgh, Stijn & Veldkamp, Laura, 2006. "Learning asymmetries in real business cycles," Journal of Monetary Economics, Elsevier, vol. 53(4), pages 753-772, May.
  4. David Andolfatto & Paul Gomme, 2001. "Monetary policy regimes and beliefs," Working Paper 9905, Federal Reserve Bank of Cleveland.
  5. Driffill, John & Miller, Marcus, 1993. "Learning and Inflation Convergence in the ERM," Economic Journal, Royal Economic Society, vol. 103(417), pages 369-78, March.
  6. Michele Boldrin & David K. Levine, 2000. "Growth cycles and market crashes," Staff Report 279, Federal Reserve Bank of Minneapolis.
  7. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  8. Venegas-Martinez, Francisco, 2001. "Temporary stabilization: A stochastic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1429-1449, September.
  9. Kevin A. Hassett & Gilbert E. Metcalf, 1998. "Investment With Uncertain Tax Policy: Does Random Tax Policy Discourage Investment?," Discussion Papers Series, Department of Economics, Tufts University 9823, Department of Economics, Tufts University.
  10. Lee, I.H. & Chalkley, M., 1994. "Asymmetric business cycles," Discussion Paper Series In Economics And Econometrics 9411, Economics Division, School of Social Sciences, University of Southampton.
  11. Zeira, Joseph, 1999. "Informational overshooting, booms, and crashes," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 237-257, February.
  12. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  13. Klaus, WAELDE, 2003. "Endogenous growth cycles," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2004012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 15 Mar 2004.
  14. Caplin, Andrew & Leahy, John V, 1993. "Sectoral Shocks, Learning, and Aggregate Fluctuations," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 777-94, October.
  15. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, November.
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