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

Frido Rolloos and Kenichiro Shiraya
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Kenichiro Shiraya: Graduate School of Economics, The University of Tokyo

No CARF-F-568, CARF F-Series from Center for Advanced Research in Finance, Faculty 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.

Pages: 16
Date: 2023-08
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Persistent link: https://EconPapers.repec.org/RePEc:cfi:fseres:cf568

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