IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2009.11007.html
   My bibliography  Save this paper

Pricing Cryptocurrency Options

Author

Listed:
  • Ai Jun Hou
  • Weining Wang
  • Cathy Y. H. Chen
  • Wolfgang Karl Hardle

Abstract

Cryptocurrencies, especially Bitcoin (BTC), which comprise a new digital asset class, have drawn extraordinary worldwide attention. The characteristics of the cryptocurrency/BTC include a high level of speculation, extreme volatility and price discontinuity. We propose a pricing mechanism based on a stochastic volatility with a correlated jump (SVCJ) model and compare it to a flexible co-jump model by Bandi and Ren\`o (2016). The estimation results of both models confirm the impact of jumps and co-jumps on options obtained via simulation and an analysis of the implied volatility curve. We show that a sizeable proportion of price jumps are significantly and contemporaneously anti-correlated with jumps in volatility. Our study comprises pioneering research on pricing BTC options. We show how the proposed pricing mechanism underlines the importance of jumps in cryptocurrency markets.

Suggested Citation

  • Ai Jun Hou & Weining Wang & Cathy Y. H. Chen & Wolfgang Karl Hardle, 2020. "Pricing Cryptocurrency Options," Papers 2009.11007, arXiv.org.
    • Handle: RePEc:arx:papers:2009.11007
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2009.11007
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Asgharian, Hossein & Nossman, Marcus, 2011. "Risk contagion among international stock markets," Journal of International Money and Finance, Elsevier, vol. 30(1), pages 22-38, February.
    2. Hossein Asgharian & Christoffer Bengtsson, 2006. "Jump Spillover in International Equity Markets," Journal of Financial Econometrics, Oxford University Press, vol. 4(2), pages 167-203.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Asgharian, Hossein & Hess, Wolfgang & Liu, Lu, 2013. "A spatial analysis of international stock market linkages," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4738-4754.
    2. Liu, Lu, 2014. "Extreme downside risk spillover from the United States and Japan to Asia-Pacific stock markets," International Review of Financial Analysis, Elsevier, vol. 33(C), pages 39-48.
    3. Kshatriya, Saranya & Prasanna, Krishna, 2021. "Jump Interdependencies: Stochastic linkages among international stock markets," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    4. Aysan, Ahmet Faruk & Caporin, Massimiliano & Cepni, Oguzhan, 2024. "Not all words are equal: Sentiment and jumps in the cryptocurrency market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 91(C).
    5. Zhang, Yi & Zhou, Long & Chen, Yajiao & Liu, Fang, 2022. "The contagion effect of jump risk across Asian stock markets during the Covid-19 pandemic," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    6. Milcheva, Stanimira & Zhu, Bing, 2016. "Bank integration and co-movements across housing markets," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 148-171.
    7. Jawadi, Fredj & Louhichi, Waël & Idi Cheffou, Abdoulkarim, 2015. "Testing and modeling jump contagion across international stock markets: A nonparametric intraday approach," Journal of Financial Markets, Elsevier, vol. 26(C), pages 64-84.
    8. Chen, Ke & Vitiello, Luiz & Hyde, Stuart & Poon, Ser-Huang, 2018. "The reality of stock market jumps diversification," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 171-188.
    9. Zhou, Dong-hai & Liu, Xiao-xing, 2023. "Do world stock markets “jump” together? A measure of high-frequency volatility risk spillover networks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 88(C).
    10. Chen, Cathy Yi-Hsuan & Härdle, Wolfgang Karl & Hou, Ai Jun & Wang, Weining, 2018. "Pricing Cryptocurrency options: the case of CRIX and Bitcoin," IRTG 1792 Discussion Papers 2018-004, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    11. Anca Ionășcuți & Bogdan Dima, 2022. "Contagion effects on financial markets risk," Journal of Financial Studies, Institute of Financial Studies, vol. 12(7), pages 105-133, May.
    12. Thorsten Lehnert, 2019. "Asset pricing implications of good governance," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-14, April.
    13. Guo, Nian-zhi & Tu, Anthony H., 2021. "Stock market synchronization and institutional distance," Finance Research Letters, Elsevier, vol. 42(C).
    14. Brière, Marie & Chapelle, Ariane & Szafarz, Ariane, 2012. "No contagion, only globalization and flight to quality," Journal of International Money and Finance, Elsevier, vol. 31(6), pages 1729-1744.
    15. Liu, Guangqiang & Guo, Xiaozhu, 2022. "Forecasting stock market volatility using commodity futures volatility information," Resources Policy, Elsevier, vol. 75(C).
    16. Pavlo Dziuba & Olena Pryiatelchuk & Denys Rusak, 2021. "Equity Markets Risks And Returns: Implications For Global Portfolio Capital Flows During Pandemic And Crisis Periods," Baltic Journal of Economic Studies, Publishing house "Baltija Publishing", vol. 7(3).
    17. Berger, Dave & Pukthuanthong, Kuntara, 2012. "Market fragility and international market crashes," Journal of Financial Economics, Elsevier, vol. 105(3), pages 565-580.
    18. Chris Brooks & Marcel Prokopczuk, 2013. "The dynamics of commodity prices," Quantitative Finance, Taylor & Francis Journals, vol. 13(4), pages 527-542, March.
    19. Li, Xiao-Ping & Zhou, Chun-Yang & Wu, Chong-Feng, 2017. "Jump spillover between oil prices and exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 656-667.
    20. Dewandaru, Ginanjar & Masih, Rumi & Masih, A. Mansur M., 2016. "What can wavelets unveil about the vulnerabilities of monetary integration? A tale of Eurozone stock markets," Economic Modelling, Elsevier, vol. 52(PB), pages 981-996.

    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2009.11007. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.