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Modeling monetary economies: an equivalence result

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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.

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  • Gabriele Camera & YiLi Chien, 2013. "Modeling monetary economies: an equivalence result," Working Papers 2013-009, Federal Reserve Bank of St. Louis.
    • Handle: RePEc:fip:fedlwp:2013-009
    DOI: 10.20955/wp.2013.009
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    References listed on IDEAS

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    1. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    2. 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.
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    5. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    6. Lucas, Robert Jr., 1986. "Principles of fiscal and monetary policy," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 117-134, January.
    7. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    8. 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.
    9. 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.
    10. 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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