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Theory of Cryptocurrency Interest Rates

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  • Dorje C. Brody
  • Lane P. Hughston
  • Bernhard K. Meister

Abstract

A term structure model in which the short rate is zero is developed as a candidate for a theory of cryptocurrency interest rates. The price processes of crypto discount bonds are worked out, along with expressions for the instantaneous forward rates and the prices of interest-rate derivatives. The model admits functional degrees of freedom that can be calibrated to the initial yield curve and other market data. Our analysis suggests that strict local martingales can be used for modelling the pricing kernels associated with virtual currencies based on distributed ledger technologies.

Suggested Citation

  • Dorje C. Brody & Lane P. Hughston & Bernhard K. Meister, 2019. "Theory of Cryptocurrency Interest Rates," Papers 1904.05472, arXiv.org, revised Dec 2019.
  • Handle: RePEc:arx:papers:1904.05472
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    Cited by:

    1. Aditi Dandapani & Philip Protter, 2019. "Strict Local Martingales Via Filtration Enlargement," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-28, December.
    2. Nadi Serhan Aydın & Martin Rainer, 2022. "Asset-backed stable numéraire approach for sustainable valuation," Journal of Sustainable Finance & Investment, Taylor & Francis Journals, vol. 12(2), pages 360-374, April.
    3. 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.

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