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Cryptocurrencies and Interest Rates: Inferring Yield Curves in a Bondless Market

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  • Philippe Bergault
  • S'ebastien Bieber
  • Olivier Gu'eant
  • Wenkai Zhang

Abstract

In traditional financial markets, yield curves are widely available for countries (and, by extension, currencies), financial institutions, and large corporates. These curves are used to calibrate stochastic interest rate models, discount future cash flows, and price financial products. Yield curves, however, can be readily computed only because of the current size and structure of bond markets. In cryptocurrency markets, where fixed-rate lending and bonds are almost nonexistent as of early 2025, the yield curve associated with each currency must be estimated by other means. In this paper, we show how mathematical tools can be used to construct yield curves for cryptocurrencies by leveraging data from the highly developed markets for cryptocurrency derivatives.

Suggested Citation

  • Philippe Bergault & S'ebastien Bieber & Olivier Gu'eant & Wenkai Zhang, 2025. "Cryptocurrencies and Interest Rates: Inferring Yield Curves in a Bondless Market," Papers 2509.03964, arXiv.org.
  • Handle: RePEc:arx:papers:2509.03964
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    References listed on IDEAS

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    1. Temin, Peter, 2004. "Financial Intermediation in the Early Roman Empire," The Journal of Economic History, Cambridge University Press, vol. 64(3), pages 705-733, September.
    2. Arkorful, Gideon Bruce & Chen, Haiqiang & Gu, Ming & Liu, Xiaoqun, 2023. "What can we learn from the convenience yield of Bitcoin? Evidence from the COVID-19 crisis," International Review of Economics & Finance, Elsevier, vol. 88(C), pages 141-153.
    3. Jimmy E. Hilliard & Julie T. D. Ngo, 2022. "Bitcoin: jumps, convenience yields, and option prices," Quantitative Finance, Taylor & Francis Journals, vol. 22(11), pages 2079-2091, November.
    4. Bastien Baude & Damien Challet & Ioane Muni Toke, 2025. "Optimal risk-aware interest rates for decentralized lending protocols," Papers 2502.19862, arXiv.org.
    5. Brenner, Menachem & Galai, Dan, 1986. "Implied Interest Rates," The Journal of Business, University of Chicago Press, vol. 59(3), pages 493-507, July.
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