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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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    1. Cysne, Rubens Penha, 2002. "A note on the integrability of partial-equilibrium measures of the welfare costs of inflation," Journal of Banking & Finance, Elsevier, vol. 26(12), pages 2357-2363.
    2. Fischer, Stanley, 1979. "Capital Accumulation on the Transition Path in a Monetary Optimizing Model," Econometrica, Econometric Society, vol. 47(6), pages 1433-1439, November.
    3. Cysne, Rubens Penha, 2006. "A note on the non-convexity problem in some shopping-time and human-capital models," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2737-2745, October.
    4. 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(05), pages 732-751, November.
    5. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-777, October.
    6. Goodfriend, Marvin, 1997. "A framework for the analysis of moderate inflations," Journal of Monetary Economics, Elsevier, vol. 39(1), pages 45-65, June.
    7. Cysne, Rubens P, 2003. " Divisia Index, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(2), pages 221-238, April.
    8. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    9. Siegel, Jeremy J, 1983. "Technological Change and the Superneutrality of Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 15(3), pages 363-367, August.
    10. Scholnick, Barry & Massoud, Nadia & Saunders, Anthony & Carbo-Valverde, Santiago & Rodríguez-Fernández, Francisco, 2008. "The economics of credit cards, debit cards and ATMs: A survey and some new evidence," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1468-1483, August.
    11. Hiraguchi, Ryoji, 2009. "Non-concavity problems in the dynamic macroeconomic models: A note," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 568-572, March.
    12. Holman, Jill A, 1998. "GMM Estimation of a Money-in-the-Utility-Function Model: The Implications of Functional Forms," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(4), pages 679-698, November.
    13. Cysne, Rubens Penha, 2008. "A note on "Inflation and Welfare"," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1984-1987, September.
    14. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
    15. Weil, Philippe, 1991. "Is Money Net Wealth?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 37-53, February.
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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.

    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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