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Invoice Discounting Using Kelly Criterion by Automated Market Makers-like Implementations

Author

Listed:
  • Peplluis R. Esteva

    (Byppay Global SL, 17007 Girona, Spain
    Centre for Blockchain Technologies, University College London, London WC1E 6BT, UK
    These authors contributed equally to this work.)

  • Andrés El-Fakdi

    (TECNIO Centre EASY, VICOROB Institute, University of Girona, 17003 Girona, Spain
    These authors contributed equally to this work.
    Serra Húnter Fellow.)

  • Alberto Ballesteros-Rodríguez

    (Computer Science Department, University of Alcalá, 28805 Alcalá de Henares, Spain
    Computing and Artificial Intelligence Laboratory (CAILab), Camilo José Cela University, 28692 Madrid, Spain
    These authors contributed equally to this work.)

Abstract

Funding shortages are a persistent issue, particularly for small and medium-sized enterprises (SMEs), and the problem tends to worsen cyclically. The market for factoring and invoice discounting aims to address delays in payment for commercial invoices. These involves sellers present unpaid invoices to financial organizations, typically banks, who provide an advance payment. The implementations of the factoring services without intermediaries in blockchain of the state of the art are all based on the publication on-chain of all the invoices, use know your customer (KYC) mechanisms, and over-collateralize the invoices. This article proposes a new, decentralized approach to lending services that completely eliminates intermediaries and does not require strong KYC, yet it is reasonably resilient. The approach uses liquidity pools and associated heuristics to create a model of risk compensation. In this model, a formula measures the contributed collateral to an invoice and the risk of a late invoice or non-payment, using the Kelly criterion to calculate the optimal premium for funding said invoice in the liquidity pool. The algorithm’s performance is tested in many scenarios involving several invoice amounts, collaterals, payment delays, and non-payment rates. The study also examines premium distribution policies and hack scenarios involving bogus, non-payable invoices. The outcome is a decentralized market that uses the Kelly criterion and is reasonably resilient to a wide range of invoicing scenarios, including 5% non-payment rates and 10% bogus invoices, yet provides a sound profit to liquidity providers. The algorithm’s resilience is enhanced by several premium distribution policies over partially collateralized invoices from 50 to 70%, resulting in optimal premium withdrawal policies every 30 days, making it the first protocol for loanable funds that does not require over-collateralization to be profitable and resilient.

Suggested Citation

  • Peplluis R. Esteva & Andrés El-Fakdi & Alberto Ballesteros-Rodríguez, 2023. "Invoice Discounting Using Kelly Criterion by Automated Market Makers-like Implementations," Mathematics, MDPI, vol. 11(7), pages 1-37, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1673-:d:1112351
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    References listed on IDEAS

    as
    1. Teng Andrea Xu & Jiahua Xu, 2022. "A Short Survey on Business Models of Decentralized Finance (DeFi) Protocols," Papers 2202.07742, arXiv.org, revised Jul 2023.
    2. Guillermo Angeris & Tarun Chitra, 2020. "Improved Price Oracles: Constant Function Market Makers," Papers 2003.10001, arXiv.org, revised Jun 2020.
    3. Raphael Auer & Bernhard Haslhofer & Stefan Kitzler & Pietro Saggese & Friedhelm Victor, 2024. "The technology of decentralized finance (DeFi)," Digital Finance, Springer, vol. 6(1), pages 55-95, March.
    4. Jiahua Xu & Nikhil Vadgama, 2021. "From banks to DeFi: the evolution of the lending market," Papers 2104.00970, arXiv.org, revised Dec 2022.
    5. Maxim Bichuch & Zachary Feinstein, 2022. "Axioms for Automated Market Makers: A Mathematical Framework in FinTech and Decentralized Finance," Papers 2210.01227, arXiv.org, revised Sep 2024.
    6. Lewis Gudgeon & Sam M. Werner & Daniel Perez & William J. Knottenbelt, 2020. "DeFi Protocols for Loanable Funds: Interest Rates, Liquidity and Market Efficiency," Papers 2006.13922, arXiv.org, revised Oct 2020.
    7. Gert Wehinger, 2014. "SMEs and the credit crunch: Current financing difficulties, policy measures and a review of literature," OECD Journal: Financial Market Trends, OECD Publishing, vol. 2013(2), pages 115-148.
    Full references (including those not matched with items on IDEAS)

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