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Efficient Pricing of Barrier Options on High Volatility Assets using Subset Simulation

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  • Keegan Mendonca
  • Vasileios E. Kontosakos
  • Athanasios A. Pantelous
  • Konstantin M. Zuev

Abstract

Barrier options are one of the most widely traded exotic options on stock exchanges. In this paper, we develop a new stochastic simulation method for pricing barrier options and estimating the corresponding execution probabilities. We show that the proposed method always outperforms the standard Monte Carlo approach and becomes substantially more efficient when the underlying asset has high volatility, while it performs better than multilevel Monte Carlo for special cases of barrier options and underlying assets. These theoretical findings are confirmed by numerous simulation results.

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  • Keegan Mendonca & Vasileios E. Kontosakos & Athanasios A. Pantelous & Konstantin M. Zuev, 2018. "Efficient Pricing of Barrier Options on High Volatility Assets using Subset Simulation," Papers 1803.03364, arXiv.org, revised Mar 2018.
    • Handle: RePEc:arx:papers:1803.03364
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    References listed on IDEAS

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