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Subdiffusive option price model with Inverse Gaussian subordinator

Author

Listed:
  • Shchestyuk, Nataliya

    (Örebro University School of Business)

  • Tyshchenkob, Sergii

    (National University of Kyiv-Mohyla Academy)

Abstract

The paper focuses on the option price subdiffusive model under the unusual behavior of the market, when the price may not be changed for some time which is quite a common situation in the modern financial markets or during global crises. In the model, the risk-free bond motion and classical GBM are time-changed by an inverted inverse Gaussian (IG) subordinator. We explore the correlation structure of the subdiffusive GBM stock returns process, discuss option pricing techniques based on the fractal Dupire equation, and demonstrate how it applies in the case of the IG subordinator.

Suggested Citation

  • Shchestyuk, Nataliya & Tyshchenkob, Sergii, 2024. "Subdiffusive option price model with Inverse Gaussian subordinator," Working Papers 2024:1, Örebro University, School of Business.
    • Handle: RePEc:hhs:oruesi:2024_001
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    References listed on IDEAS

    as
    1. Lehar, Alfred & Scheicher, Martin & Schittenkopf, Christian, 2002. "GARCH vs. stochastic volatility: Option pricing and risk management," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 323-345, March.
    2. Marcin Magdziarz & Sebastian Orzel & Aleksander Weron, 2011. "Option pricing in subdiffusive Bachelier model," HSC Research Reports HSC/11/05, Hugo Steinhaus Center, Wroclaw University of Technology.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Option pricing; Subdiffusion models; Subordinator; Inverse subordinator; Time-changed process; Hitting time;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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