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Mathematical Foundations for Balancing the Payment System in the Trade Credit Market

Author

Listed:
  • Tomaž Fleischman

    (BeSolutions d.o.o., Bleiweisova cesta 30, 1000 Ljubljana, Slovenia)

  • Paolo Dini

    (Department of Media and Communications, London School of Economics and Political Science, London WC2A 2AE, UK
    School of Physics, Engineering and Computer Science, University of Hertfordshire, Hatfield AL10 9AB, UK)

Abstract
The increasingly complex economic and financial environment in which we live makes the management of liquidity in payment systems and the economy in general a persistent challenge. New technologies make it possible to address this challenge through alternative solutions that complement and strengthen existing payment systems. For example, interbank balancing and clearing methods (such as real-time gross settlement) can also be applied to private payments, complementary currencies, and trade credit clearing to provide better liquidity and risk management. The paper defines the concept of a balanced payment system mathematically and demonstrates the effects of balancing on a few small examples. It then derives the construction of a balanced payment subsystem that can be settled in full and therefore that can be removed in toto to achieve debt reduction and payment gridlock resolution. Using well-known results from graph theory, the main output of the paper is the proof—for the general formulation of a payment system with an arbitrary number of liquidity sources—that the amount of liquidity saved is maximum, along with a detailed discussion of the practical steps that a lending institution can take to provide different levels of service subject to the constraints of available liquidity and its own cap on total overdraft exposure. From an applied mathematics point of view, the original contribution of the paper is two-fold: (1) the introduction of a liquidity node with a store of value function in obligation-clearing; and (2) the demonstration that the case with one or more liquidity sources can be solved with the same mathematical machinery that is used for obligation-clearing without liquidity. The clearing and balancing methods presented are based on the experience of a specific application (Tetris Core Technologies), whose wider adoption in the trade credit market could contribute to the financial stability of the whole economy and a better management of liquidity and risk overall.

Suggested Citation

  • Tomaž Fleischman & Paolo Dini, 2021. "Mathematical Foundations for Balancing the Payment System in the Trade Credit Market," JRFM, MDPI, vol. 14(9), pages 1-25, September.
    • Handle: RePEc:gam:jjrfmx:v:14:y:2021:i:9:p:452-:d:639721
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    References listed on IDEAS

    as
    1. Edoardo Gaffeo & Lucio Gobbi & Massimo Molinari, 2019. "The economics of netting in financial networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(3), pages 595-622, September.
    2. Galbiati, Marco & Soramaki, Kimmo, 2010. "Liquidity-saving mechanisms and bank behaviour," Bank of England working papers 400, Bank of England.
    3. Tomaž Fleischman & Paolo Dini & Giuseppe Littera, 2020. "Liquidity-Saving through Obligation-Clearing and Mutual Credit: An Effective Monetary Innovation for SMEs in Times of Crisis," JRFM, MDPI, vol. 13(12), pages 1-30, November.
    4. Fleischman, Tomaž & Dini, Paolo & Littera, Giuseppe, 2020. "Liquidity-saving through obligation-clearing and mutual credit: an effective monetary innovation for SMEs in times of crisis," LSE Research Online Documents on Economics 107529, London School of Economics and Political Science, LSE Library.
    5. Glasserman, Paul & Young, H. Peyton, 2016. "Contagion in financial networks," LSE Research Online Documents on Economics 68681, London School of Economics and Political Science, LSE Library.
    6. Michael Tompkins & Ariel Olivares, 2016. "Clearing and Settlement Systems from Around the World: A Qualitative Analysis," Discussion Papers 16-14, Bank of Canada.
    7. repec:zbw:bofism:2005_031 is not listed on IDEAS
    8. Allen, Franklin & Qian, Meijun & Xie, Jing, 2019. "Understanding informal financing," Journal of Financial Intermediation, Elsevier, vol. 39(C), pages 19-33.
    9. repec:zbw:bofrdp:2001_009 is not listed on IDEAS
    10. Garratt, Rodney & Zimmerman, Peter, 2020. "Centralized netting in financial networks," Journal of Banking & Finance, Elsevier, vol. 112(C).
    11. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    12. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    13. Guillaume Vuillemey, 2020. "The Value of Central Clearing," Journal of Finance, American Finance Association, vol. 75(4), pages 2021-2053, August.
    14. Lars Börner & John William Hatfield, 2017. "The Design of Debt-Clearing Markets: Clearinghouse Mechanisms in Preindustrial Europe," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1991-2037.
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