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On the Distribution of Money Holdings in a Random-Matching Model

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  • Berentsen, Aleksander

Abstract

This paper studies stationary and nonstationary distributions of money holdings in a random-matching model. The first part characterizes the stationary distributions of money holdings and derives the optimum quantity of money. The second part considers nonstationary distributions of the optimum quantity of money to show that if the production costs are not too large, any distribution of the optimum quantity of money converges asymptotically to the uniform distribution.

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File URL: http://mpra.ub.uni-muenchen.de/37319/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 37319.

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Date of creation: 2002
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Handle: RePEc:pra:mprapa:37319

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Keywords: Optimum Quantity of Money; Distribution of Money Holdings; Convergence; Search Equilibrium;

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References

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  1. Edward J. Green & Ruilin Zhou, 1996. "A Rudimentary Random-Matching Model with Divisible Money and Prices," GE, Growth, Math methods 9606001, EconWPA, revised 25 Jul 1996.
  2. Camera, G. & Corbae, D., 1998. "Money and Price Dispersion," Working Papers 98-03, University of Iowa, Department of Economics.
  3. Berentsen, Aleksander & Rocheteau, Guillaume, 2002. "On the efficiency of monetary exchange: how divisibility of money matters," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1621-1649, November.
  4. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, 08.
  5. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
  6. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
  7. Aleksander Berentsen, 1996. "Money Inventories In Search Equilibrium," Diskussionsschriften dp9603, Universitaet Bern, Departement Volkswirtschaft.
  8. Ruilin Zhou, 1996. "Individual and Aggregate Real Balances in a Random Matching Model," GE, Growth, Math methods 9612001, EconWPA, revised 23 Dec 1996.
  9. Edward J. Green & Ruilin Zhou, 1999. "Monetary Equilibrium from an Initial State: The Case Without Discounting," Macroeconomics 9902010, EconWPA.
  10. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  11. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
  12. Taber, Alexander & Wallace, Neil, 1999. "A Matching Model with Bounded Holdings of Indivisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 961-84, November.
  13. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  14. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February.
  15. Shouyong Shi, 1998. "Search, Inflation, and Capital Accumulation," Working Papers 971, Queen's University, Department of Economics.
  16. Nobuhiro Kiyotaki & Randall Wright, 1989. "A contribution to the pure theory of money," Staff Report 123, Federal Reserve Bank of Minneapolis.
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Citations

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Cited by:
  1. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2007. "Friedman Meets Hosios: Efficiency in Search Models of Money," Economic Journal, Royal Economic Society, vol. 117(516), pages 174-195, 01.
  2. Aleksander Berentsen & Guillaume Rocheteau, 2002. "Money in Bilateral Trade," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 489-506, December.
  3. Wright, Randall & Trejos, Alberto, 2014. "Search-Based Models of Money and Finance: An Integrated Approach," Working Papers 709, Federal Reserve Bank of Minneapolis.
  4. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96 Elsevier.
  5. Aleksander Berentsen & Gabriele Camera, 2004. "Money, Credit, and Banking," 2004 Meeting Papers 473, Society for Economic Dynamics.
  6. Guillaume Rocheteau & Randall Wright, 2003. "Inflation and Welfare in Models with Trading Frictions," PIER Working Paper Archive 03-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  7. Aleksander Berentsen & Gabriele Camera & Christopher Waller, . "The Distribution of Money Balances and the Non-Neutrality of Money," IEW - Working Papers 220, Institute for Empirical Research in Economics - University of Zurich.
  8. Anthonisen, Niels, 2013. "On the long-run relationship between inflation and output in a spatial overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2500-2524.
  9. Allan Hernández, 2008. "Los modelos del dinero endógeno: la evolución de los modelos monetarios de búsqueda," REVISTA DE ECONOMÍA DEL ROSARIO, UNIVERSIDAD DEL ROSARIO.
  10. Mihaela Schaar & Jie Xu & William Zame, 2013. "Efficient online exchange via fiat money," Economic Theory, Springer, vol. 54(2), pages 211-248, October.
  11. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  12. Tsunao Okumura, 2006. "Wealth As A Signal In The Search Model Of Money ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 87-106, 02.

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