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The Stochastic Cash Balance Problem with Fixed Costs: The Risk-averse Case

Author

Listed:
  • Liu Shuren

    ()

  • Tang Pei

    () (School of Mathematics and Computational Science, Xiangtan University, Xiangtan411105, China)

Abstract

This paper discusses multi-period stochastic cash balance problem with fixed costs when the decision maker is risk averse. By using the consumption model introduced by Chen et al, we characterize the structure of the optimal policy for the stochastic cash balance problem under the general increasing concave utility function and exponential utility function, respectively. We show that the structure of the optimal policy for a decision maker with exponential utility function is almost identical to the structure of the optimal risk-neutral operations policy. Furthermore, we extend the results for the exponential utility function to the ambiguity aversion case.

Suggested Citation

  • Liu Shuren & Tang Pei, 2014. "The Stochastic Cash Balance Problem with Fixed Costs: The Risk-averse Case," Journal of Systems Science and Information, De Gruyter, vol. 2(6), pages 520-531, December.
  • Handle: RePEc:bpj:jossai:v:2:y:2014:i:6:p:520-531:n:3
    as

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    References listed on IDEAS

    as
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    7. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "Newsvendor problem with random shortage cost under a risk criterion," International Journal of Production Economics, Elsevier, vol. 145(2), pages 790-798.
    8. Nadia Makary Girgis, 1968. "Optimal Cash Balance Levels," Management Science, INFORMS, vol. 15(3), pages 130-140, November.
    9. Eppen, Gary D & Fama, Eugene F, 1969. "Cash Balance and Simple Dynamic Portfolio Problems with Proportional Costs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(2), pages 119-133, June.
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