# Arbitrage-free volatility surfaces

VF007 · Volatility forecasting and options · Lesson 7 of 8. Twelve interactive steps, each with its own guided explanation.

SVI, SSVI, SABR, Heston and local vol fitted to real SPX quotes, then a neural surface with and without no-arbitrage guardrails.

Every step uses real market data. This is education about models and their assumptions, not financial advice.

Canonical page: https://21ifm.com/quant/volatility/arbitrage-free-surfaces

## Explore

- [Volatility forecasting and options: the eight-lesson path](https://21ifm.com/quant/volatility)
- [Advanced Volatility Forecasting: Classical vs AI bootcamp](https://21ifm.com/workshops/volatility-forecasting)