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A Monetary Theory with Non-Degenerate Distributions

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  • Guido Menzio

    ()
    (Department of Economics, University of Pennsylvania)

  • Shouyong Shi

    ()
    (Department of Economics, University of Toronto)

  • Hongfei Sun

    ()
    (Department of Economics, Queens University)

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 Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 11-009.

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Length: 57 pages
Date of creation: 11 Mar 2011
Date of revision:
Handle: RePEc:pen:papers:11-009

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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 2013-09-09 00:45:08
  2. A Monetary Theory with Non-Degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2011-04-11 02:44:40
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Cited by:
  1. Williamson, Stephen D. & Wright, Randall, 2010. "New Monetarist Economics: Models," MPRA Paper 21030, University Library of Munich, Germany.
  2. Enders, Zeno, 2012. "Heterogeneous consumers, segmented asset markets, and the effects of monetary policy," Working Papers 0537, University of Heidelberg, Department of Economics.
  3. Mahmoudi, Babak, 2013. "Open-Market Operations, Asset Distributions, and Endogenous Market Segmentation," MPRA Paper 50089, University Library of Munich, Germany.

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