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On the formal foundations of cash management systems

Author

Listed:
  • Francisco Salas-Molina

    (Universitat de València)

  • Juan A. Rodriguez-Aguilar

    (IIIA-CSIC)

  • David Pla-Santamaria

    (Universitat Politècnica de València (Campus Alcoy))

  • Ana García-Bernabeu

    (Universitat Politècnica de València (Campus Alcoy))

Abstract

Cash management aims to find a balance between what is held in cash and what is allocated in other investments in exchange for a given return. Dealing with cash management systems with multiple accounts and different links between them is a complex task. Current cash management models provide analytic solutions without exploring the underlying structure of accounts and its main properties. There is a need for a formal definition of cash management systems. In this work, we introduce a formal approach to manage cash with multiple accounts based on graph theory. Our approach allows a formal reasoning on the relation between accounts in cash management systems. A critical part of this formal reasoning is the characterization of desirable and non-desirable cash management policies. Novel theoretical results guide cash managers in the analysis of complex cash management systems.

Suggested Citation

  • Francisco Salas-Molina & Juan A. Rodriguez-Aguilar & David Pla-Santamaria & Ana García-Bernabeu, 2021. "On the formal foundations of cash management systems," Operational Research, Springer, vol. 21(2), pages 1081-1095, June.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00464-6
    DOI: 10.1007/s12351-019-00464-6
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    References listed on IDEAS

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    1. 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.
    2. Srinivasan, Venkat & Kim, Yong H, 1986. "Deterministic cash flow management: State of the art and research directions," Omega, Elsevier, vol. 14(2), pages 145-166.
    3. George M. Constantinides & Scott F. Richard, 1978. "Existence of Optimal Simple Policies for Discounted-Cost Inventory and Cash Management in Continuous Time," Operations Research, INFORMS, vol. 26(4), pages 620-636, August.
    4. Gormley, Fionnuala M. & Meade, Nigel, 2007. "The utility of cash flow forecasts in the management of corporate cash balances," European Journal of Operational Research, Elsevier, vol. 182(2), pages 923-935, October.
    5. Francisco Salas-Molina & David Pla-Santamaria & Juan A. Rodriguez-Aguilar, 2018. "A multi-objective approach to the cash management problem," Annals of Operations Research, Springer, vol. 267(1), pages 515-529, August.
    6. Gregory, Geoffrey, 1976. "Cash flow models: A review," Omega, Elsevier, vol. 4(6), pages 643-656.
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    1. Francisco Salas-Molina & David Pla-Santamaria & Juan A. Rodriguez-Aguilar, 2023. "An analytic derivation of the efficient frontier in biobjective cash management and its implications for policies," Annals of Operations Research, Springer, vol. 328(2), pages 1523-1536, September.

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