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A Monetary Theory with Non-Degenerate Distributions

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Author Info

  • Guido Menzio
  • Shouyong Shi
  • Hongfei Sun

Abstract

Dispersion of money balances among individuals is the basis for a range of policies but it has been abstracted from in monetary theory for tractability reasons. In this paper, we fill in this gap by constructing a tractable search model of money with a non-degenerate distribution of money holdings. We assume search to be directed in the sense that buyers know the terms of trade before visiting particular sellers. Directed search makes the monetary steady state block recursive in the sense that individuals' policy functions, value functions and the market tightness function are all independent of the distribution of individuals over money balances, although the distribution affects the aggregate activity by itself. Block recursivity enables us to characterize the equilibrium analytically. By adapting lattice-theoretic techniques, we characterize individuals' policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists. Moreover, we provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate and analyze the properties of this distribution.

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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-425.

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Length: 57 pages
Date of creation: 24 Mar 2011
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-425

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Keywords: Money; Distribution; Search; Lattice-Theoretic;

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References

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Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. A Monetary Theory with Non-Degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2011-04-11 02:44:40
  2. A Monetary Theory with Non-degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2013-09-09 00:45:08
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Cited by:
  1. Mahmoudi, Babak, 2013. "Open-Market Operations, Asset Distributions, and Endogenous Market Segmentation," MPRA Paper 50089, University Library of Munich, Germany.
  2. Zeno Enders, 2010. "Heterogeneous consumers, segmented asset markets,and the effects of monetary policy," Bonn Econ Discussion Papers bgse08_2010, University of Bonn, Germany.
  3. 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.

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