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On the integrability of money-demand functions by the Sidrauski and the shopping-time models

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  • Cysne, Rubens Penha
  • Turchick, David

Abstract

This paper investigates which properties money-demand functions must satisfy so that they are consistent with Lucas's [Lucas Jr., R.E., 2000. Inflation and welfare. Econometrica 68, 247-274] versions of the Sidrauski and the shopping-time models. We conclude that shopping-time-integrable money-demand functions are necessarily also Sidrauski-integrable, but that the converse is not necessarily true, unless a boundedness assumption on the nominal interest rate is made. Both the log-log with an interest-rate elasticity greater than or equal to one and the semi-log money demands may serve as counterexamples. All the models and results are also extended to the case in which there are several assets in the economy performing monetary functions.

Suggested Citation

  • Cysne, Rubens Penha & Turchick, David, 2009. "On the integrability of money-demand functions by the Sidrauski and the shopping-time models," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1555-1562, September.
    • Handle: RePEc:eee:jbfina:v:33:y:2009:i:9:p:1555-1562
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    References listed on IDEAS

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    Cited by:

    1. Rubens Penha Cysne & David Turchick, 2010. "Money Supply and Capital Accumulation on the Transition Path Revisited," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(6), pages 1173-1184, September.
    2. Cysne, Rubens Penha & Turchick, David, 2010. "Welfare costs of inflation when interest-bearing deposits are disregarded: A calculation of the bias," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1015-1030, June.

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    More about this item

    Keywords

    C0 E40 D50 D60 Money demand Integrability Sidrauski Shopping time Interest-bearing assets;

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General

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