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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.
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    4. Cysne, Rubens P, 2003. "Divisia Index, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(2), pages 221-238, April.
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    1. 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.
    2. Tsutomu Watanabe & Tomoyoshi Yabu, 2018. "The Demand for Money at the Zero Interest Rate Bound," CARF F-Series CARF-F-444, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Mr. Etienne B Yehoue, 2012. "On Price Stability and Welfare," IMF Working Papers 2012/189, International Monetary Fund.
    4. 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.
    5. 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.
    6. 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.

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