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Demand for Cash with Intra-Period Endogenous Consumption

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Abstract

We study the demand for money when agents can optimally choose mean rates of consumption and cash holdings over a period. Consistent with empirical evidence, we find that agents do not smooth intra-period consumption. Instead, their rate of consumption is positively correlated with their cash position. This positive correlation depends on the volatility of the consumption process. When volatility is very low or very high, agents choose to consume at a relatively high rate immediately after a cash withdrawal, drawing down quite rapidly their cash balances. Later in the period, their rate of consumption and cash depletion is more restrained. This sizeable deviation from consumption smoothing is much less pronounced when volatility is moderate.

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Paper provided by University of Haifa, Department of Economics in its series Working Papers with number WP2010/4.

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Length: 26
Date of creation:
Date of revision: 01 Sep 2010
Handle: RePEc:haf:huedwp:wp201004

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Keywords: money demand; consumption smoothing; drift control;

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  2. Giovanni Mastrobuoni & Matthew Weinberg, 2007. "Heterogeneity in Intra-Monthly Consumption Patterns, Self-Control, and Savings at Retirement," Working Papers 65, Princeton University, Department of Economics, Center for Economic Policy Studies..
  3. Martin Feldstein, 1996. "The Costs and Benefits of Going from Low Inflation to Price Stability," NBER Working Papers 5469, National Bureau of Economic Research, Inc.
  4. Fernando Alvarez & Francesco Lippi, 2009. "Financial Innovation and the Transactions Demand for Cash," Econometrica, Econometric Society, vol. 77(2), pages 363-402, 03.
  5. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
  6. Orazio Attanasio & Luigi Guiso & Tullio Jappelli, 1998. "The Demand for Money, Financial Innovation, and the Welfare Cost of Inflation: An Analysis with Households' Data," CSEF Working Papers 03, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  7. Bar-Ilan, Avner & Marion, Nancy P. & Perry, David, 2007. "Drift control of international reserves," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3110-3137, September.
  8. Peter Mooslechner & Helmut Stix & Karin Wagner, 2006. "How Are Payments Made in Austria?," Monetary Policy & the Economy, Oesterreichische Nationalbank (Austrian Central Bank), issue 2, pages 111–134.
  9. Andrew B. Abel & Janice C. Eberly & Stavros Panageas, 2007. "Optimal Inattention to the Stock Market," American Economic Review, American Economic Association, vol. 97(2), pages 244-249, May.
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  12. Schneider, Friedrich & Buehn, Andreas & Montenegro, Claudio E., 2010. "Shadow economies all over the world : new estimates for 162 countries from 1999 to 2007," Policy Research Working Paper Series 5356, The World Bank.
  13. Bar-Ilan, Avner & Perry, David & Stadje, Wolfgang, 2004. "A generalized impulse control model of cash management," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1013-1033, March.
  14. Melvin Stephens Jr., 2002. "'3rd of tha Month': Do Social Security Recipients Smooth Consumption Between Checks?," NBER Working Papers 9135, National Bureau of Economic Research, Inc.
  15. Francesco Lippi & Alessandro Secchi, 2008. "Technological change and the households' demand for currency," EIEF Working Papers Series 0801, Einaudi Institute for Economics and Finance (EIEF), revised Oct 2008.
  16. Casey B. Mulligan & Xavier Sala-i-Martin, 2000. "Extensive Margins and the Demand for Money at Low Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 961-991, October.
  17. Baccarin, Stefano, 2009. "Optimal impulse control for a multidimensional cash management system with generalized cost functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 198-206, July.
  18. Chang, Fwu-Ranq, 1999. "Homogeneity and the Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 720-30, November.
  19. Ghosh, Arka P. & Weerasinghe, Ananda P., 2010. "Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic," Stochastic Processes and their Applications, Elsevier, vol. 120(11), pages 2103-2141, November.
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