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Invoice discounting using kelly criterion by automated market makers-like implementations

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  • Peplluis R. Esteva
  • Alberto Ballesteros Rodr'iguez

Abstract

There is a persistent lack of funding, especially for SMEs, that cyclically worsens. The factoring and invoice discounting market appears to address delays in paying commercial invoices: sellers bring still-to-be-paid invoices to financial organizations, intermediaries, typically banks that provide an advance payment. This article contains research on novel decentralized approaches to said lending services without intermediaries by using liquidity pools and its associated heuristics, creating an Automated Market Maker. In our approach, the contributed collateral and the invoice trades with risk is measured with a formula: The Kelly criterion is used to calculate the optimal premium to be contributed to a liquidity pool in the funding of the said invoices. The behavior of the algorithm is studied in several scenarios of streams of invoices with representative amounts, collaterals, payment delays, and nonpayments rates or mora. We completed the study with hack scenarios with bogus, nonpayable invoices. As a result, we have created a resilient solution that performs the best with partially collateralized invoices. The outcome is decentralized market developed with the Kelly criterion that is reasonably resilient to a wide variety of the invoicing cases that provides sound profit to liquidity providers, and several premium distribution policies were checked that contributed with extra resilience to the performance of the algorithm.

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  • Peplluis R. Esteva & Alberto Ballesteros Rodr'iguez, 2023. "Invoice discounting using kelly criterion by automated market makers-like implementations," Papers 2302.09009, arXiv.org.
    • Handle: RePEc:arx:papers:2302.09009
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    References listed on IDEAS

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    1. Guillermo Angeris & Tarun Chitra, 2020. "Improved Price Oracles: Constant Function Market Makers," Papers 2003.10001, arXiv.org, revised Jun 2020.
    2. Maxim Bichuch & Zachary Feinstein, 2022. "Axioms for Automated Market Makers: A Mathematical Framework in FinTech and Decentralized Finance," Papers 2210.01227, arXiv.org, revised Aug 2023.
    3. 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.
    4. 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.
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