Forecasting implied volatility surface with generative diffusion models

By Chen Jin, Ankush Agarwal

Rating

2027
Battle Count: 116

Relevance

9/10
Directly applicable to quantitative trading and risk management. Provides one-day-ahead vol-surface forecasts essential for options trading, hedging, and portfolio risk management. The arbitrage-free constraint ensures generated surfaces are usable for pricing and hedging. The well-calibrated uncertainty estimates (CI breach rates near 10%) are valuable for position sizing and risk assessment. The Diebold-Mariano test confirms statistically significant improvement over GAN benchmarks.

Implementation Complexity

8/10
High complexity due to: (1) conditional diffusion model with VP-SDE formulation, (2) U-Net architecture with FiLM conditioning and multi-channel input, (3) SNR-weighted arbitrage penalty integrated into loss function, (4) log-standardization transformation for vol-surfaces, (5) Vega-weighted Nadaraya-Watson kernel smoothing for data preprocessing, (6) EWMA parameter averaging, (7) plateau-based learning rate scheduling with gradient clipping. Requires expertise in both diffusion models and quantitative finance.

Reproducibility

4/5
Full code is available on GitHub (https://github.com/Austinjinc/diffusion-paper-code). Hyperparameters are fully specified in Appendix A. However, the OptionMetrics data is proprietary/commercial and not freely available. The Heston simulation parameters are fully specified. Training and sampling algorithms are provided in detail (Algorithms 1 and 2).

About this paper

Methodology: Conditional Denoising Diffusion Probabilistic Model (DDPM) with SNR-weighted arbitrage penalty. Problem types: Time Series Forecasting, Generative Modeling, Density Estimation, Risk Management, Portfolio Optimization.

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