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Optimal Cash Management Under Uncertainty

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  • Bensoussan, Alain
  • Chutani, Anshuman
  • Sethi, Suresh

Abstract

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain explicitly the optimal transaction policy.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 19896.

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Date of creation: 25 Feb 2009
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Publication status: Published in Operations Research Letters 6.37(2009): pp. 425-429
Handle: RePEc:pra:mprapa:19896

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Keywords: Cash management; Stochastic control; Maximum principle; Risky assets;

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  1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  3. George M. Constantinides, 1976. "Stochastic Cash Management with Fixed and Proportional Transaction Costs," Management Science, INFORMS, vol. 22(12), pages 1320-1331, August.
  4. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
  5. Vickson, R. G., 1985. "Simple Optimal Policy for Cash Management: The Average Balance Requirement Case," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(03), pages 353-369, September.
  6. Gary D. Eppen & Eugene F. Fama, 1971. "Three Asset Cash Balance and Dynamic Portfolio Problems," Management Science, INFORMS, vol. 17(5), pages 311-319, January.
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