IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i11p1093-d285850.html
   My bibliography  Save this article

Optimal Uncertain Controls for Cash Holding Problems

Author

Listed:
  • Zhengyan Wang

    (Department of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China
    School of Economics and Management, Yancheng Institute of Technology, Yancheng 224056, China)

  • Guanghua Xu

    (Department of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China)

  • Peibiao Zhao

    (Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China)

Abstract

Determining whether an enterprise has target holdings and figuring out how to reasonably determine these cash holdings are common problems faced by all enterprises. This paper first establishes an uncertain optimal cash holdings model with a security area constraint, and then proves that the model is a typical bang–bang control model. The control variables in the model can be expressed as a symbolic function. Then, under the specific objective function, the optimal cash holdings are discussedfor two casesincluding whether to consider transaction costs or not. Finally, the applicability of the model is verified by specific examples, and the influences of factors, including risky asset returns and the transaction cost of unit securities on decision-making results are discussed.

Suggested Citation

  • Zhengyan Wang & Guanghua Xu & Peibiao Zhao, 2019. "Optimal Uncertain Controls for Cash Holding Problems," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1093-:d:285850
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/11/1093/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/11/1093/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Merton H. Miller & Daniel Orr, 1966. "A Model of the Demand for Money by Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 413-435.
    2. Bar-Ilan, Avner & Perry, David & Stadje, Wolfgang, 2004. "A generalized impulse control model of cash management," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1013-1033, March.
    3. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    4. Beckman, Steven R & Foreman, Joshua N, 1988. "An Experimental Test of the Baumol-Tobin Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 20(3), pages 291-305, August.
    5. Chang, Fwu-Ranq, 1999. "Homogeneity and the Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 720-730, November.
    6. 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.
    7. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. García Cabello, Julia, 2017. "The future of branch cash holdings management is here: New Markov chains," European Journal of Operational Research, Elsevier, vol. 259(2), pages 789-799.
    2. Fernando Alvarez & Francesco Lippi & Roberto Robatto, 2019. "Cost of Inflation in Inventory Theoretical Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 206-226, April.
    3. 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.
    4. 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.
    5. Francisco Salas-Molina & Juan A. Rodríguez-Aguilar & Montserrat Guillen, 2023. "A multidimensional review of the cash management problem," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-35, December.
    6. Ágoston, Kolos Cs. & Benedek, Gábor & Gilányi, Zsolt, 2016. "Pareto improvement and joint cash management optimisation for banks and cash-in-transit firms," European Journal of Operational Research, Elsevier, vol. 254(3), pages 1074-1082.
    7. Bar-Ilan, Avner & Marion, Nancy, 2013. "Demand for cash with intra-period endogenous consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2668-2678.
    8. Tamas Briglevics & Scott Schuh, 2013. "U.S. consumer demand for cash in the era of low interest rates and electronic payments," Working Papers 13-23, Federal Reserve Bank of Boston.
    9. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    10. Javier Gómez P., 1998. "La Demanda Por Dinero En Colombia," Borradores de Economia 2969, Banco de la Republica.
    11. Mirza Hammad Hassan & Hussain Haroon & Sarwar Ghulam & Habib Haroon, 2024. "Corporate Internationalization and Uncertainty of Cash Holdings: Evidence from an Emerging Market," Zagreb International Review of Economics and Business, Sciendo, vol. 27(1), pages 79-95.
    12. Opler, Tim & Pinkowitz, Lee & Stulz, Rene & Williamson, Rohan, 1999. "The determinants and implications of corporate cash holdings," Journal of Financial Economics, Elsevier, vol. 52(1), pages 3-46, April.
    13. Jan Tin, 2010. "Bequest motives and household money demand," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 34(3), pages 269-283, July.
    14. Luisanna Onnis & Patrizio Tirelli, 2015. "Shadow economy: Does it matter for money velocity?," Empirical Economics, Springer, vol. 49(3), pages 839-858, November.
    15. Quoc Trung Tran, 2020. "Corporate cash holdings and financial crisis: new evidence from an emerging market," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 10(2), pages 271-285, June.
    16. Hou, Canran & Liu, Huan, 2020. "Foreign residency rights and corporate cash holdings," Journal of Corporate Finance, Elsevier, vol. 64(C).
    17. Thakur, Bhanu Pratap Singh & Kannadhasan, M., 2019. "Corruption and cash holdings: Evidence from emerging market economies," Emerging Markets Review, Elsevier, vol. 38(C), pages 1-17.
    18. Dee, Philippa S., 1985. "Demands for real and financial assets in Botswana," Kiel Working Papers 244, Kiel Institute for the World Economy (IfW Kiel).
    19. David Laidler, 1999. "The Quantity of Money and Monetary Policy," Staff Working Papers 99-5, Bank of Canada.
    20. Reuven Glick, 1984. "The Geometry Of Asset Adjustment With Adjustment Costs," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 7(4), pages 303-314, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1093-:d:285850. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.