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Designing funding rates for perpetual futures in cryptocurrency markets

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  • Jaehyun Kim
  • Hyungbin Park

Abstract

In cryptocurrency markets, a key challenge for perpetual future issuers is maintaining alignment between the perpetual future price and target value. This study addresses this challenge by exploring the relationship between funding rates and perpetual future prices. Our results demonstrate that by appropriately designing funding rates, the perpetual future price can remain aligned with the target value. We develop replicating portfolios for perpetual futures, offering issuers an effective method to hedge their positions. Additionally, we provide path-dependent funding rates as a practical alternative and investigate the difference between the original and path-dependent funding rates. To achieve these results, our study employs path-dependent infinite-horizon BSDEs in conjunction with arbitrage pricing theory. Our main results are obtained by establishing the existence and uniqueness of solutions to these BSDEs and analyzing the large-time behavior of these solutions.

Suggested Citation

  • Jaehyun Kim & Hyungbin Park, 2025. "Designing funding rates for perpetual futures in cryptocurrency markets," Papers 2506.08573, arXiv.org.
    • Handle: RePEc:arx:papers:2506.08573
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    References listed on IDEAS

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    1. Damien Ackerer & Julien Hugonnier & Urban Jermann, 2023. "Perpetual Futures Pricing," Papers 2310.11771, arXiv.org, revised Sep 2024.
    2. Carol Alexander & Jaehyuk Choi & Heungju Park & Sungbin Sohn, 2020. "BitMEX bitcoin derivatives: Price discovery, informational efficiency, and hedging effectiveness," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(1), pages 23-43, January.
    3. Alex Evans, 2020. "Liquidity Provider Returns in Geometric Mean Markets," Papers 2006.08806, arXiv.org, revised Jul 2020.
    4. Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Oxley, Les, 2021. "Volatility spillovers during market supply shocks: The case of negative oil prices," Resources Policy, Elsevier, vol. 74(C).
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