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Finance-Informed Neural Network: Learning the Geometry of Option Pricing

Bibliographic record. Follow the original-source link for the publication.

Field Value
Primary domain Volatility
Other domains Hedging Exposure Risk
Methods Financial Ml, Research Methods
Facets
Authors Amine M. Aboussalah, Xuanze Li, Cheng Chi, Raj Patel
Published 2026-03-11
Source arXiv Quantitative Finance History
Identifiers arxiv:2412.12213
URL Open original source

Editorial synthesis

Why it matters

FINN reframes pricing and hedging as learning a replication-consistent pricing operator, which is significant for reducing parametric misspecification risk and extending to illiquid markets, if trainability and calibration are sound. (abstract:S1, abstract:S2, abstract:S3, abstract:S4, abstract:S6, abstract:S7)

Main author claims

  • The authors claim FINN is learned through a self-supervised replication objective based on dynamic hedging, integrating financial structure into the neural network. (abstract:S1, abstract:S2)
  • They claim minimizing replication error recovers the arbitrage-free pricing operator, yields economically meaningful sensitivities, and remains stable in settings without reliable closed-form solutions. (abstract:S3, abstract:S5, abstract:S4)
  • The authors claim FINN reconstructs implied-volatility surfaces closer to market values than Heston calibrations and can use historical spot prices to construct coherent option prices and Greeks for assets without listed options. (abstract:S6, abstract:S7)

Data, method, or discussion scope

Scope includes theoretical objectives, replication consistency claims, recovery of Black-Scholes behavior, Heston robustness, implied-volatility surface performance versus Heston calibrations, and training on historical spot for illiquid assets. Hyperparameters and cost model integration are not provided. (abstract:S1, abstract:S2, abstract:S3, abstract:S4, abstract:S6, abstract:S7)

Main limitations

The claim of improved IV surface reconstruction lacks explicit metric definitions and windows, and abstract-level reporting does not specify transaction-cost treatment, liquidity thresholds, or walk-forward drawdown checks. (abstract:S4, abstract:S6, abstract:S9)

Relationships

  • None recorded.