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Option pricing with time-changed L�vy processes

Author

Listed:
  • Sven Klingler
  • Young Shin Kim
  • Svetlozar T. Rachev
  • Frank J. Fabozzi

Abstract

In this article, we introduce two new six-parameter processes based on time-changing tempered stable distributions and develop an option pricing model based on these processes. This model provides a good fit to observed option prices. To demonstrate the advantages of the new processes, we conduct two empirical studies to compare their performance to other processes that have been used in the literature.

Suggested Citation

  • Sven Klingler & Young Shin Kim & Svetlozar T. Rachev & Frank J. Fabozzi, 2013. "Option pricing with time-changed L�vy processes," Applied Financial Economics, Taylor & Francis Journals, vol. 23(15), pages 1231-1238, August.
    • Handle: RePEc:taf:apfiec:v:23:y:2013:i:15:p:1231-1238
    DOI: 10.1080/09603107.2013.807024
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    Citations

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    Cited by:

    1. Abootaleb Shirvani & Svetlozar T. Rachev & Frank J. Fabozzi, 2019. "Multiple Subordinated Modeling of Asset Returns," Papers 1907.12600, arXiv.org.
    2. Thisari K. Mahanama & Abootaleb Shirvani & Svetlozar Rachev & Frank J. Fabozzi, 2023. "The Financial Market of Environmental Indices," Papers 2308.15661, arXiv.org.
    3. Gong, Xiao-Li & Liu, Xi-Hua & Xiong, Xiong & Zhuang, Xin-Tian, 2018. "Modeling volatility dynamics using non-Gaussian stochastic volatility model based on band matrix routine," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 193-201.
    4. Gong, Xiao-li & Zhuang, Xin-tian, 2016. "Option pricing and hedging for optimized Lévy driven stochastic volatility models," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 118-127.
    5. Javad Shaabani & Ali Akbar Jafari, 2020. "A New Look to Three-Factor Fama-French Regression Model using Sample Innovations," Papers 2006.02467, arXiv.org.
    6. Gong, Xiaoli & Zhuang, Xintian, 2017. "Pricing foreign equity option under stochastic volatility tempered stable Lévy processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 83-93.
    7. Thilini Mahanama & Abootaleb Shirvani & Svetlozar Rachev, 2021. "Global Index on Financial Losses due to Crime in the United States," Papers 2105.03514, arXiv.org.
    8. Gong, Xiaoli & Zhuang, Xintian, 2017. "Measuring financial risk and portfolio reversion with time changed tempered stable Lévy processes," The North American Journal of Economics and Finance, Elsevier, vol. 40(C), pages 148-159.
    9. Abootaleb Shirvani & Stefan Mittnik & W. Brent Lindquist & Svetlozar T. Rachev, 2021. "Bitcoin Volatility and Intrinsic Time Using Double Subordinated Levy Processes," Papers 2109.15051, arXiv.org, revised Aug 2023.
    10. Thilini Mahanama & Abootaleb Shirvani & Svetlozar Rachev, 2022. "A Natural Disasters Index," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 24(2), pages 263-284, April.
    11. Gong, Xiaoli & Zhuang, Xintian, 2016. "Option pricing for stochastic volatility model with infinite activity Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 1-10.
    12. Thilini V. Mahanama & Abootaleb Shirvani & Svetlozar Rachev, 2023. "The Financial Market of Indices of Socioeconomic Wellbeing," Papers 2303.05654, arXiv.org.

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