The paper proposes a new pricing algorithm for high-dimensional Bermudan options based on an expansion method of Wiener functionals and deep learning which is a version of weak approximation scheme of Naito and Yamada, Journal of Computational Finance (2024). The proposed method gives efficient and accurate approximations for Bermudan option prices even in a high-dimensional setting. The theoretical rate of convergence of the proposed method is provided. Numerical experiments including a 100-dimensional stochastic volatility model confirm the validity of the proposed method.

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Expansion of Bermudan Option Price Using Deep Learning

  • Riu Naito,
  • Toshihiro Yamada

摘要

The paper proposes a new pricing algorithm for high-dimensional Bermudan options based on an expansion method of Wiener functionals and deep learning which is a version of weak approximation scheme of Naito and Yamada, Journal of Computational Finance (2024). The proposed method gives efficient and accurate approximations for Bermudan option prices even in a high-dimensional setting. The theoretical rate of convergence of the proposed method is provided. Numerical experiments including a 100-dimensional stochastic volatility model confirm the validity of the proposed method.