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Optimal Bitcoin trading with inverse futures

Author

Listed:
  • Jun Deng

    (University of International Business and Economics)

  • Huifeng Pan

    (University of International Business and Economics)

  • Shuyu Zhang

    (Beijing Technology and Business University)

  • Bin Zou

    (University of Connecticut)

Abstract

We consider an optimal trading problem for an investor who trades Bitcoin spot and Bitcoin inverse futures, plus a risk-free asset. The investor seeks an optimal strategy to maximize her expected utility of terminal wealth. We obtain explicit solutions to the investor’s optimal strategies under both exponential and power utility functions. Empirical studies confirm that optimal strategies perform well in terms of Sharpe ratio and Sortino ratio and beat the long-only strategy in Bitcoin spot.

Suggested Citation

  • Jun Deng & Huifeng Pan & Shuyu Zhang & Bin Zou, 2021. "Optimal Bitcoin trading with inverse futures," Annals of Operations Research, Springer, vol. 304(1), pages 139-163, September.
  • Handle: RePEc:spr:annopr:v:304:y:2021:i:1:d:10.1007_s10479-021-04125-w
    DOI: 10.1007/s10479-021-04125-w
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    References listed on IDEAS

    as
    1. Paolo Pagnottoni & Thomas Dimpfl, 2019. "Price discovery on Bitcoin markets," Digital Finance, Springer, vol. 1(1), pages 139-161, November.
    2. Galina Hale & Arvind Krishnamurthy & Marianna Kudlyak & Patrick Shultz, 2018. "How Futures Trading Changed Bitcoin Prices," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
    3. Dirk G. Baur & Thomas Dimpfl, 2019. "Price discovery in bitcoin spot or futures?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(7), pages 803-817, July.
    4. Min Dai & Yifei Zhong & Yue Kuen Kwok, 2011. "Optimal arbitrage strategies on stock index futures under position limits," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(4), pages 394-406, April.
    5. Dilip B. Madan & Xing Jin & Peter Carr, 2001. "Optimal investment in derivative securities," Finance and Stochastics, Springer, vol. 5(1), pages 33-59.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Tim Leung & Jiao Li & Xin Li & Zheng Wang, 2016. "Speculative Futures Trading under Mean Reversion," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(4), pages 281-304, December.
    8. 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.
    9. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    10. Wei Yan & Shurong Li, 2008. "A class of portfolio selection with a four-factor futures price model," Annals of Operations Research, Springer, vol. 164(1), pages 139-165, November.
    11. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    12. Köchling, Gerrit & Müller, Janis & Posch, Peter N., 2019. "Does the introduction of futures improve the efficiency of Bitcoin?," Finance Research Letters, Elsevier, vol. 30(C), pages 367-370.
    13. Kapar, Burcu & Olmo, Jose, 2019. "An analysis of price discovery between Bitcoin futures and spot markets," Economics Letters, Elsevier, vol. 174(C), pages 62-64.
    14. Jun Deng & Huifeng Pan & Shuyu Zhang & Bin Zou, 2020. "Minimum-variance hedging of Bitcoin inverse futures," Applied Economics, Taylor & Francis Journals, vol. 52(58), pages 6320-6337, December.
    15. Liu, Jun & Pan, Jun, 2003. "Dynamic derivative strategies," Journal of Financial Economics, Elsevier, vol. 69(3), pages 401-430, September.
    16. Duffie, Darrell & Jackson, Matthew O., 1990. "Optimal hedging and equilibrium in a dynamic futures market," Journal of Economic Dynamics and Control, Elsevier, vol. 14(1), pages 21-33, February.
    17. Corbet, Shaen & Lucey, Brian & Peat, Maurice & Vigne, Samuel, 2018. "Bitcoin Futures—What use are they?," Economics Letters, Elsevier, vol. 172(C), pages 23-27.
    18. Luz Rocío Sotomayor & Abel Cadenillas, 2009. "Explicit Solutions Of Consumption‐Investment Problems In Financial Markets With Regime Switching," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 251-279, April.
    19. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2015. "Robust portfolio choice with derivative trading under stochastic volatility," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 142-157.
    20. Sebastião, Helder & Godinho, Pedro, 2020. "Bitcoin futures: An effective tool for hedging cryptocurrencies," Finance Research Letters, Elsevier, vol. 33(C).
    21. Bahman Angoshtari & Tim Leung, 2019. "Optimal dynamic basis trading," Annals of Finance, Springer, vol. 15(3), pages 307-335, September.
    22. Tim Leung & Xin Li, 2016. "Futures Trading Under Mean Reversion," World Scientific Book Chapters, in: Optimal Mean Reversion Trading Mathematical Analysis and Practical Applications, chapter 5, pages 105-127, World Scientific Publishing Co. Pte. Ltd..
    23. Zou, Bin & Cadenillas, Abel, 2014. "Optimal investment and risk control policies for an insurer: Expected utility maximization," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 57-67.
    24. Paolo Giudici & Gloria Polinesi, 2021. "Crypto price discovery through correlation networks," Annals of Operations Research, Springer, vol. 299(1), pages 443-457, April.
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    Cited by:

    1. Boyi Li & Weixuan Xia, 2024. "Crypto Inverse-Power Options and Fractional Stochastic Volatility," Papers 2403.16006, arXiv.org.
    2. Alexander, Carol & Deng, Jun & Zou, Bin, 2023. "Hedging with automatic liquidation and leverage selection on bitcoin futures," European Journal of Operational Research, Elsevier, vol. 306(1), pages 478-493.

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