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Neural Jumps for Option Pricing

Author

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  • Duosi Zheng
  • Hanzhong Guo
  • Yanchu Liu
  • Wei Huang

Abstract

Recognizing the importance of jump risk in option pricing, we propose a neural jump stochastic differential equation model in this paper, which integrates neural networks as parameter estimators in the conventional jump diffusion model. To overcome the problem that the backpropagation algorithm is not compatible with the jump process, we use the Gumbel-Softmax method to make the jump parameter gradient learnable. We examine the proposed model using both simulated data and S&P 500 index options. The findings demonstrate that the incorporation of neural jump components substantially improves the accuracy of pricing compared to existing benchmark models.

Suggested Citation

  • Duosi Zheng & Hanzhong Guo & Yanchu Liu & Wei Huang, 2025. "Neural Jumps for Option Pricing," Papers 2506.05137, arXiv.org.
    • Handle: RePEc:arx:papers:2506.05137
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