Isidro Moroso Varona, Jakub Michańków, Paweł Sakowski · 2026-06-23
The paper tests randomized neural networks (a fast-to-train neural network variant) for pricing American options and estimating their credit-related risk measures — exposure profiles and Credit Valuation Adjustment (CVA) — inside a Monte Carlo simulation. It compares this method against the standard Least-Squares Monte Carlo (LSM) approach under both Black-Scholes and Heston models, for single-asset and multi-asset portfolios. It finds the neural network matches LSM accuracy but scales more efficiently and cheaper in high-dimensional (many-asset) problems.
Why it matters: Risk and derivatives desks that must compute CVA and counterparty exposure for portfolios of American options could find this a more computationally efficient tool when many underlying assets are involved. The relevance is mainly to quantitative pricing/risk infrastructure rather than to trading signals or returns.
⚠ This is a computational-methods study benchmarked against LSM in simulations, not a live-trading or market-return result, and applies mainly to specialized derivatives risk modeling.
This paper studies the use of randomized neural networks for the estimation of exposure profiles and unilateral CVA of American options within a Monte Carlo framework. The analysis is carried out separately under both Black-Scholes and Heston dynamics, combining American option valuation, expected exposure and potential future exposure estimation, and unilateral CVA calculation with portfolio netting effects. The numerical experiment compares this approach with the classical Least-Squares Monte Carlo (LSM) used as a benchmark in both low-dimensional single-asset and high-dimensional multi-asset scenarios, and also includes a path convergence test and a sensitivity analysis. The results show that the randomized feedforward neural network approach preserves convergence to the LSM benchmark when it is extended from pricing to exposure and CVA estimation, while its main advantage appears in high-dimensional problems, where it scales more efficiently and leads to lower computational cost. These results support the use of randomized neural networks as a useful alternative for exposure and CVA estimation in high-dimensional American-style options.
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AI summary generated from the paper’s public abstract via arXiv; it may miss nuance — read the source before relying on it. Thank you to arXiv for its open-access interoperability; StockTools is not affiliated with arXiv, and all rights remain with the authors. Educational only, not financial advice.