Journal of Computational Finance

Risk.net

Estimating risks of European option books using neural stochastic differential equation market models

Samuel N. Cohen, Christoph Reisinger and Sheng Wang

  • We examine the capacity of an arbitrage-free neural-SDE market model to produce realistic scenarios for the joint dynamics of multiple European options on a single underlying.
  • We verify that these neural-SDE market models produce price paths similar to historical data for European equity index markets. We subsequently demonstrate its use as a risk simulation engine for option portfolios.
  • Through backtesting analysis, we show that our models are more computationally efficient and accurate for evaluating the Value-at-Risk (VaR) of option portfolios, with better coverage performance and less procyclicality than standard filtered historical simulation approaches.

In this paper we examine the capacity of arbitrage-free neural stochastic differential equation market models to produce realistic scenarios for the joint dynamics of multiple European options on a single underlying. We subsequently demonstrate their use as a risk simulation engine for option portfolios. Through backtesting analysis we show that our models are more computationally efficient and accurate for evaluating the value-at-risk of option portfolios than standard filtered historical simulation approaches, with better coverage and less procyclicality.

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