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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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Banking & Finance.

Volume (Year): 33 (2009)
Issue (Month): 9 (September)
Pages: 1555-1562

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Handle: RePEc:eee:jbfina:v:33:y:2009:i:9:p:1555-1562

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Web page: http://www.elsevier.com/locate/jbf

Related research

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

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References

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  1. 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.
  2. 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.
  3. 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.
  4. Fischer, Stanley, 1979. "Capital Accumulation on the Transition Path in a Monetary Optimizing Model," Econometrica, Econometric Society, vol. 47(6), pages 1433-39, November.
  5. 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.
  6. Rubens Penha Cysne, 2001. "Divisia Index, Inflation and Welfare," Anais do XXIX Encontro Nacional de Economia [Proceedings of the 29th Brazilian Economics Meeting] 020, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].
  7. Goodfriend, Marvin, 1997. "A framework for the analysis of moderate inflations," Journal of Monetary Economics, Elsevier, vol. 39(1), pages 45-65, June.
  8. Cysne, Rubens Penha, 2008. "A note on "Inflation and Welfare"," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1984-1987, September.
  9. Siegel, Jeremy J, 1983. "Technological Change and the Superneutrality of Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 15(3), pages 363-67, August.
  10. 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.
  11. 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 750-77, October.
  12. 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.
  13. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  14. 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 679-98, November.
  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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Citations

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Cited by:
  1. Cysne, Rubens Penha & Turchick, David, 2010. "Welfare costs of inflation when interest-bearing deposits are disregarded: A calculation of the bias," Economics Working Papers (Ensaios Economicos da EPGE) 700, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Cysne, Rubens Penha & Turchick, David, 2010. "Money supply and capital accumulation on the transition path revisited," Economics Working Papers (Ensaios Economicos da EPGE) 702, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).

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