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Modeling monetary economies: an equivalence result

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  • Camera, Gabriele
  • Chien, YiLi

Abstract

We present a thought-provoking study of two monetary models: the cash-in-advance and the Lagos and Wright (2005) models. The different approaches to modeling money—reduced-form vs. explicit role—neither induce fundamental theoretical nor quantitative differences in results. Given conformity of preferences, technologies and shocks, both models reduce to equilibrium difference equations that coincide unless price distortions are differentially imposed on cash prices, across models. Equal distortions support equally large welfare costs of inflation. Performance differences stem from unequal assumptions about the pricing mechanism that governs cash transactions, not the differential modeling of the monetary exchange process.

Suggested Citation

  • Camera, Gabriele & Chien, YiLi, 2013. "Modeling monetary economies: an equivalence result," Working Papers 2013-009, Federal Reserve Bank of St. Louis, revised 01 Nov 2015.
  • Handle: RePEc:fip:fedlwp:2013-009
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    References listed on IDEAS

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    1. Boel, Paola & Camera, Gabriele, 2009. "Financial sophistication and the distribution of the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 56(7), pages 968-978, October.
    2. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
    3. Lucas, Robert Jr., 1986. "Principles of fiscal and monetary policy," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 117-134, January.
    4. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    5. Chiu, Jonathan & Molico, Miguel, 2010. "Liquidity, redistribution, and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 428-438, May.
    6. Ping He & Lixin Huang & Randall Wright, 2005. "Money And Banking In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 637-670, May.
    7. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
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    Keywords

    Monetary theory; Money; Inflation (Finance);

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