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Deep learning models reconstruct volatility surfaces with no-arbitrage constraints

Researchers have developed deep learning models to reconstruct implied volatility surfaces from limited and noisy option data, adhering to no-arbitrage constraints. The study compared various neural network architectures, including Transformers and U-Nets, against traditional SVI parameterizations using real market data. Findings indicate that Transformer and U-Net models offer superior reconstruction accuracy, especially when data is sparse, and that incorporating soft arbitrage penalties effectively reduces violations with only a minor impact on accuracy. AI

IMPACT This research could lead to more accurate financial modeling and risk assessment in quantitative finance.

RANK_REASON This is a research paper detailing a novel application of deep learning to a quantitative finance problem. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pablo Rodriguez Manzi ·

    Volatility Surface Reconstruction using Deep Learning under No-Arbitrage Constraints

    arXiv:2605.24031v1 Announce Type: cross Abstract: We study the reconstruction of implied volatility surfaces from sparse and noisy option quotes using deep learning models under no-arbitrage constraints. We compare multiple neural architectures, including multilayer perceptrons, …