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Transactions Demand for Money with a Stochastic, Time-Varying Interest Rate

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  • Gregor W. Smith

Abstract

This paper considers a stochastic, time-varying interest rate in a continuous-time inventory-theoretic model of the demand for money. The problem of minimizing expected, discounted cash-management costs is ascribed to an agent. An optimal cash-management policy exists and is of a familiar target-threshold form. Closed-form expressions for the forward-looking, time-varying targets and thresholds are derived in special cases and implications for the dynamics of the cash balance are described.

Suggested Citation

  • Gregor W. Smith, 1989. "Transactions Demand for Money with a Stochastic, Time-Varying Interest Rate," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 623-633.
    • Handle: RePEc:oup:restud:v:56:y:1989:i:4:p:623-633.
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    Cited by:

    1. Greene, Clinton A., 2002. "Was money demand in the USA unstable before 1982? An application of the sup-F stability test," Journal of Economics and Business, Elsevier, vol. 54(5), pages 465-481.
    2. Sergey Drobyshevsky & G.Kuzmicheva & Elena Sinelnikova & Pavel Trunin, 2010. "Modeling monetary demand in the Russian economy over 1999–2008," Research Paper Series, Gaidar Institute for Economic Policy, issue 136P.
    3. Marcos Melo & Feruccio Bilich, 2013. "Expectancy balance model for cash flow," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 37(2), pages 240-252, April.
    4. Neil Geismar & Milind Dawande & Divakar Rajamani & Chelliah Sriskandarajah, 2007. "Managing a Bank's Currency Inventory Under New Federal Reserve Guidelines," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 147-167, March.
    5. Hartwick, John M., 1995. "Capital gains and asset switching," Economics Letters, Elsevier, vol. 47(1), pages 63-67, January.
    6. Perry, David & Berg, M. & Posner, M. J. M., 2001. "Stochastic models for broker inventory in dealership markets with a cash management interpretation," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 23-34, August.
    7. Greene, Clinton A., 2001. "Trigger-target rules and the dynamics of aggregate money holdings," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1193-1219, August.

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