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Starting Resources for Local and Stochastic Volatility Models

Article Quant Q&A · Author: userPrimeNumber
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Summary

The document asks for approachable introductions to non-constant volatility models, including CEV, Heston, and SABR, after finding a more advanced volatility-surface text too demanding. The replies recommend resources at different levels and scopes rather than explaining model construction or calibration.

One recommendation is a concise introductory book on volatility concepts with limited mathematical derivation, intended as preparation for more advanced study. Another is an overview note that surveys general ideas in volatility modeling. For focused study of SABR and SABR LIBOR market models, a practice-oriented reference is suggested. These are reader recommendations, not comparative evaluations: the document gives no detailed syllabus, model examples, or assessment of prerequisites beyond describing the first book as approachable.

Key ideas

  • A learner seeking an entry point can start with a concise introduction to volatility concepts before moving to advanced texts.
  • A broad overview note is recommended for a high-level survey of volatility models.
  • A separate practice-oriented reference is suggested for SABR and SABR LIBOR market models.
  • The recommendations are reading guidance and do not explain implementation, calibration, or model limitations.

Tags

VolatilityOptionsDerivatives pricing
Full text
# Introductory material for getting started with local and stochastic volatility modelling


# Introductory material for getting started with local and stochastic volatility modelling












Are you able to provide some suggestions for resources to get started with non-flat volatility modelling? The models I am interested in are the likes of CEV, Heston, SABR etc.

I have tried looking into Gatheral's The volatility surface. A practitioner's guide but it is a little too heavy so looking for something ideally more approachable.

I am looking for "first course in local and stochastic volatility modelling" really to get me started in this space. Thanks in advance for recommendations!

## Answer by BEQuant (score 8, accepted)

https://quant.stackexchange.com/a/71189

If you are looking for a short introduction into various concepts used in volatility modeling without too much mathematical derivations (although written by a mathematician), I would recommend 'Smile pricing explained' by Peter Austing, Palgrave Macmillan (2014). It's a good first book to read and helpful in the future when you read more advanced books (like Gatheral).

## Answer by Hasek (score 7)

https://quant.stackexchange.com/a/71190

You may find A Short Note on Volatility Models an interesting summary providing bird's-eye overview of general ideas in volatility modeling.

I would highly recommend SABR and SABR LIBOR Market Models in Practice as a great reference to SABR and SABR LMM accessible without prior knowledge of these models.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.