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A Model-Free Approximation for Barrier Options in a General Stochastic Volatility Framework (Forthcoming in Journal of Futures Markets)

Author

Listed:
  • Frido Rolloos
  • Kenichiro Shiraya

    (Graduate School of Economics, The University of Tokyo)

Abstract

For a general stochastic volatility framework with non-zero correlation between the spot price and the instantaneous volatility, an analytical approximation for single barrier options with continuous monitoring is given. The approximation is expressed only in terms of market observable implied volatilities and prices. As such the approximation is independent of the specific form and number of parameters of the skew-generating stochastic volatility model.

Suggested Citation

  • Frido Rolloos & Kenichiro Shiraya, 2023. "A Model-Free Approximation for Barrier Options in a General Stochastic Volatility Framework (Forthcoming in Journal of Futures Markets)," CARF F-Series CARF-F-568, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    • Handle: RePEc:cfi:fseres:cf568
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