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Liquidity Motives of Holding Money under Investment Risk: A Dynamic Analysis

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Author Info
Kiyohiko G. Nishimura (Faculty of Economics, The University of Tokyo)
Hiroyuki Ozaki (Faculty of Economics, Tohoku University)
Abstract

Jones and Ostroy (1984) argue that money,as an asset of the least transaction cost, offers exibility to its holder, which other assets cannot provide. We extend the idea of Jones and Ostroy into a truely dynamic framework of infinite horizon with a risk-neutral decision-maker. We then investigate the effect of an increase in investment risk on the demand for liquidity a la Jones and Ostroy. In particular, we prove that the opitmal strategy exists, that it has a reservation property, and that the reservation value increases when investment risk increases in the sense of a mean-preserving spread. While the effect of a mean-preserving spread on the reservation value is unambiguous, its e ect on money demand is ambiguous. We then provide conditions on increasing investment risk under which money demand unambiguously increases.

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Paper provided by CIRJE, Faculty of Economics, University of Tokyo in its series CIRJE F-Series with number CIRJE-F-232.

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Length: 40 pages
Date of creation: Jul 2003
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Handle: RePEc:tky:fseres:2003cf232

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  1. Hayne Leland, 1999. "Optimal Portfolio Management with Transactions Costs and Capital Gains Taxes," Research Program in Finance, Working Paper Series 1005, Research Program in Finance, Institute for Business and Economic Research, UC Berkeley. [Downloadable!]
  2. Jones, Robert A & Ostroy, Joseph M, 1984. "Flexibility and Uncertainty," Review of Economic Studies, Blackwell Publishing, vol. 51(1), pages 13-32, January. [Downloadable!] (restricted)
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  3. Lippman, Steven A & McCall, John J, 1976. "The Economics of Job Search: A Survey," Economic Inquiry, Oxford University Press, vol. 14(3), pages 347-68, September.
  4. Ozaki, Hiroyuki & Streufert, Peter A., 1996. "Dynamic programming for non-additive stochastic objectives," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 391-442. [Downloadable!] (restricted)
  5. Taub, B, 1988. "Efficiency in a Pure Currency Economy with Inflation," Economic Inquiry, Oxford University Press, vol. 26(4), pages 567-83, October.
  6. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September. [Downloadable!] (restricted)
  7. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Oxford University Press, vol. 18(2), pages 203-20, April.
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