Option Returns and the risk-free Rate in Crypto Asset Markets

23 Pages Posted: 7 May 2025

See all articles by Julian Winkel

Julian Winkel

International Research Training Group 1792 "High Dimensional Nonstationary Time Series", Humboldt-Universität zu Berlin

Wolfgang Karl Härdle

Blockchain Research Center Humboldt-Universität zu Berlin; Charles University; National Yang Ming Chiao Tung University; Asian Competitiveness Institute; Academy of Economic Studies, Bucharest

Lei Zhou

National University of Singapore (NUS)

Ying Chen

National University of Singapore (NUS) - Department of Mathematics

Date Written: April 26, 2025

Abstract

Contrary to expectations some years ago, the crypto market has matured and gives the impression of an established financial ecosystem. Certainly, some deviations from robustness, typically reflected in event-related volatility bursts and spikes, are observed, but a liquid derivatives market has been established, at least for the dominant digital assets. Every currency, including cryptos, has an interest rate that can be derivable from the corresponding futures. Evaluating observable crypto options prices one expects a match with an implied risk-free rate. However, for small maturities and at-the-money prices, one sees substantial risk premia. A similar phenomenon has been observed in the nineties for the stock market. We provide a solid data analysis to support these observations and sketch a short trading quantlet. The findings of this study have significant implications for the determination of a reference interest rate in the crypto space as well as for market participants and traders with exposure to futures and options written on crypto assets.

Keywords: JEL Classification: C14, C50, G10 Bitcoin, Ether, Deribit, risk premium, volatility premium, option, risk-free rate, perpetual future

JEL Classification: C14, C50, G10

Suggested Citation

Winkel, Julian and Härdle, Wolfgang Karl and Zhou, Lei and Chen, Ying, Option Returns and the risk-free Rate in Crypto Asset Markets (April 26, 2025). Available at SSRN: https://ssrn.com/abstract=5231776 or http://dx.doi.org/10.2139/ssrn.5231776

Julian Winkel (Contact Author)

International Research Training Group 1792 "High Dimensional Nonstationary Time Series", Humboldt-Universität zu Berlin ( email )

Dorotheenstraße 1
Berlin, 10117
Germany

Wolfgang Karl Härdle

Blockchain Research Center Humboldt-Universität zu Berlin ( email )

Unter den Linden 6
Berlin, D-10099
Germany

Charles University ( email )

Celetná 13
Dept Math Physics
Praha 1, 116 36
Czech Republic

National Yang Ming Chiao Tung University ( email )

No. 1001, Daxue Rd. East Dist.
Hsinchu City 300093
Taiwan

Asian Competitiveness Institute ( email )

Singapore

Academy of Economic Studies, Bucharest ( email )

Bucharest
Romania

Lei Zhou

National University of Singapore (NUS) ( email )

Ying Chen

National University of Singapore (NUS) - Department of Mathematics ( email )

119076
Singapore

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