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Inflexible Multi-Asset Hedging of incomplete market

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  • Ruochen Xiao
  • Qiaochu Feng
  • Ruxin Deng

Abstract

Models trained under assumptions in the complete market usually don't take effect in the incomplete market. This paper solves the hedging problem in incomplete market with three sources of incompleteness: risk factor, illiquidity, and discrete transaction dates. A new jump-diffusion model is proposed to describe stochastic asset prices. Three neutral networks, including RNN, LSTM, Mogrifier-LSTM are used to attain hedging strategies with MSE Loss and Huber Loss implemented and compared.As a result, Mogrifier-LSTM is the fastest model with the best results under MSE and Huber Loss.

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  • Ruochen Xiao & Qiaochu Feng & Ruxin Deng, 2022. "Inflexible Multi-Asset Hedging of incomplete market," Papers 2211.00948, arXiv.org, revised May 2023.
    • Handle: RePEc:arx:papers:2211.00948
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    References listed on IDEAS

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    1. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
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