Arbitrage-Free Implied Volatility Surface Reconstruction via Additive Martingales
This work focuses on reconstructing a continuous implied volatility (IV) surface from a small number of option quotes, a fundamental task for option pricing and risk management. We propose Additive Martingale (AddMart), a few-shot IV surface reconstruction framework that satisfies static no-arbitrage conditions by construction. Rather than predicting IVs directly, AddMart maps sparse quotes to non-negative increment densities of an exponential additive martingale, from which valid risk-neutral marginals and IVs are recovered. By incorporating the no-arbitrage structure directly into its architecture, rather than enforcing it through regularization in the learning objective, AddMart produc...
| Authors | Haochen Luo, Sifan Lin, Xiaolong Luo et al. |
|---|---|
| Primary category | q-fin.CP |
| Published | 19 October 2026 |
| Last updated at source | 19 October 2026 |
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