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Pricing the DeFi Tail: Do Protocols or Depositors Price Operational Risk?

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  • Nils Bundi

Abstract

Similar to banks, DeFi protocols expose depositors to operational risk (USD 9.45 billion across 1,075 events since 2020). Unlike banks, they are not required to hold capital against it. A protocol may maintain a buffer voluntarily. Absent one, the risk falls on the depositor, who should then demand a risk premium in the supply yield. I quantify the underlying tail on one benchmark, a per-sector Basel loss-distribution approach fitted to a new operational risk event dataset, and test both margins against it. Tails in the four core sectors are no heavier than the Moscadelli banking band $[0.85, 1.39]$. Bridge, Derivatives, and the residual Other sector exhibit cyber-loss-level tails ($\hat\xi \approx 1.6$), with point estimates past the infinite-mean boundary. The Lending tail implies a $\mathrm{VaR}_{99.9}$ capital buffer of 18% of TVL and of the ten largest Lending venues, the four holding a buffer cover on average 5% of it. Under market discipline, depositors should demand a higher yield in compensation where a venue does not maintain a buffer. I find that venues without a buffer pay a higher premium than those with (a 125-bps gap in medians): evidence the market discriminates in the right direction. However, the premium falls far short of an adequately priced tail. This unpriced tail falls disproportionately on the retail depositor, who sees only the posted rate but lacks the information and skills to price it. Because these products are not bank-regulated, I recommend disclosure over capital mandates: protocols, and any service providers that front access to it, should publish standardized losses, existing capital buffers and tail coverage.

Suggested Citation

  • Nils Bundi, 2026. "Pricing the DeFi Tail: Do Protocols or Depositors Price Operational Risk?," Papers 2609.00911, arXiv.org.
  • Handle: RePEc:arx:papers:2609.00911
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    References listed on IDEAS

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    1. Mark Egan & Ali Hortaçsu & Gregor Matvos, 2017. "Deposit Competition and Financial Fragility: Evidence from the US Banking Sector," American Economic Review, American Economic Association, vol. 107(1), pages 169-216, January.
    2. Flannery, Mark J, 1998. "Using Market Information in Prudential Bank Supervision: A Review of the U.S. Empirical Evidence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(3), pages 273-305, August.
    3. Eling, Martin & Wirfs, Jan, 2019. "What are the actual costs of cyber risk events?," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1109-1119.
    4. Tim Weingärtner & Fabian Fasser & Pedro Reis Sá da Costa & Walter Farkas, 2023. "Deciphering DeFi: A Comprehensive Analysis and Visualization of Risks in Decentralized Finance," JRFM, MDPI, vol. 16(10), pages 1-25, October.
    5. Spencer Wheatley & Thomas Maillart & Didier Sornette, 2016. "The extreme risk of personal data breaches and the erosion of privacy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-12, January.
    6. Cornelli, Giulio & Gambacorta, Leonardo & Garratt, Rodney & Reghezza, Alessio, 2025. "Why DeFi lending? Evidence from Aave V2," Journal of Financial Intermediation, Elsevier, vol. 63(C).
    7. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    8. Sirio Aramonteand & Wenqian Huang & Andreas Schrimpf, 2021. "DeFi risks and the decentralisation illusion," BIS Quarterly Review, Bank for International Settlements, December.
    9. Spencer Wheatley & Thomas Maillart & Didier Sornette, 2016. "The extreme risk of personal data breaches and the erosion of privacy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-12, January.
    10. Tim Weingärtner & Fabian Fasser & Pedro Reis Sá da Costa & Walter Farkas, 2023. "Deciphering DeFi: A Comprehensive Analysis and Visualization of Risks in Decentralized Finance," Swiss Finance Institute Research Paper Series 23-96, Swiss Finance Institute.
    11. 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.
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