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Bailey's Measure of the Welfare Costs of Inflation as a General‐Equilibrium Measure

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  • RUBENS PENHA CYSNE

Abstract

Lucas (2000) has shown that Bailey's formula for the welfare costs of inflation can be regarded as an approximation to the general‐equilibrium measures that emerge from the Sidrauski and the shopping‐time models. In this paper we show that Bailey's measure can be exactly obtained in the Sidrauski general‐equilibrium framework under the assumption of quasilinear preferences. The result, based on whether or not wealth effects are incorporated into the analysis, is also helpful in clarifying why Lucas' measure derived from the Sidrauski model turns out to be an upper bound to Bailey's. Two examples are used to illustrate the main conclusions.

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  • Rubens Penha Cysne, 2009. "Bailey's Measure of the Welfare Costs of Inflation as a General‐Equilibrium Measure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2‐3), pages 451-459, March.
    • Handle: RePEc:wly:jmoncb:v:41:y:2009:i:2-3:p:451-459
    DOI: 10.1111/j.1538-4616.2009.00214.x
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    1. Peter N. Ireland, 2009. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," American Economic Review, American Economic Association, vol. 99(3), pages 1040-1052, June.
    2. Lucas, Robert E., 1981. "Discussion of : Stanley Fischer, "towards an understanding of the costs of inflation: II"," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 15(1), pages 43-52, January.
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    4. Orazio P. Attanasio & Luigi Guiso & Tullio Jappelli, 2002. "The Demand for Money, Financial Innovation, and the Welfare Cost of Inflation: An Analysis with Household Data," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 317-351, April.
    5. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    6. Apostolos Serletis & Jagat Jit Virk, 2006. "Monetary Aggregation, Inflation, and Welfare," World Scientific Book Chapters, in: Money And The Economy, chapter 5, pages 98-116, World Scientific Publishing Co. Pte. Ltd..
    7. Cysne, Rubens Penha & Turchick, David, 2012. "An Ordering Of Measures Of The Welfare Cost Of Inflation In Economies With Interest-Bearing Deposits," Macroeconomic Dynamics, Cambridge University Press, vol. 16(5), pages 732-751, November.
    8. Cysne, Rubens P, 2003. "Divisia Index, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(2), pages 221-238, April.
    9. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    1. Tsutomu Watanabe & Tomoyoshi Yabu, 2019. "How Large is the Demand for Money at the ZLB? Evidence from Japan," Working Papers on Central Bank Communication 013, University of Tokyo, Graduate School of Economics.
    2. Calza Alessandro & Zaghini Andrea, 2011. "Welfare Costs of Inflation and the Circulation of U.S. Currency Abroad," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-21, May.
    3. Tsutomu Watanabe & Tomoyoshi Yabu, 2018. "The Demand for Money at the Zero Interest Rate Bound," Working Papers on Central Bank Communication 002, University of Tokyo, Graduate School of Economics.
    4. Cysne, Rubens Penha, 2011. "The n-dimensional Bailey–Divisia measure as a general-equilibrium measure of the welfare costs of inflation," Economics Letters, Elsevier, vol. 113(2), pages 99-102.
    5. Mr. Etienne B Yehoue, 2012. "On Price Stability and Welfare," IMF Working Papers 2012/189, International Monetary Fund.
    6. Tsutomu Watanabe & Tomoyoshi Yabu, 2021. "Japan’s voluntary lockdown: further evidence based on age-specific mobile location data," The Japanese Economic Review, Springer, vol. 72(3), pages 333-370, July.

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