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Pricing derivatives in Hermite markets

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Listed:
  • Stoyan V. Stoyanov
  • Svetlozar T. Rachev
  • Stefan Mittnik
  • Frank J. Fabozzi

Abstract

We present a new framework for Hermite fractional financial markets, generalizing the fractional Brownian motion and fractional Rosenblatt markets. Considering pure and mixed Hermite markets, we introduce a strategy-specific arbitrage tax on the rate of transaction volume acceleration of the hedging portfolio as the prices of risky assets change, allowing us to transform Hermite markets with arbitrage opportunities to markets with no arbitrage opportunities within the class of Markov trading strategies.

Suggested Citation

  • Stoyan V. Stoyanov & Svetlozar T. Rachev & Stefan Mittnik & Frank J. Fabozzi, 2017. "Pricing derivatives in Hermite markets," Papers 1709.09068, arXiv.org.
    • Handle: RePEc:arx:papers:1709.09068
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    Cited by:

    1. Daw, Lara & Kerchev, George, 2023. "Fractal dimensions of the Rosenblatt process," Stochastic Processes and their Applications, Elsevier, vol. 161(C), pages 544-571.

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