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Textbooks for Learning Derivative Pricing and Stochastic Finance

Article Quant Q&A · Author: Mike9
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Summary

The document recommends academic texts for learning the foundations of derivatives, including forwards, futures, and options. Shreve’s two-volume Stochastic Calculus for Finance is presented as a suitable route for readers with a strong mathematical background: the first volume emphasizes discrete-time pricing, while the second develops the continuous-time case.

Baxter and Rennie’s Financial Calculus is described as an intuitive introduction with a moderate mathematical level. For French readers, Finance de Marché is suggested as a treatment that balances introductory derivatives material with stochastic calculus. The response also recommends Roman’s Introduction to the Mathematics of Finance, describing its undergraduate-to-early-graduate level and its focus on discrete-time probability and lattice models before introducing stochastic methods and Black–Scholes. These are qualitative recommendations rather than a detailed comparison of coverage, prerequisites, or editions.

Key ideas

  • Shreve’s first volume introduces derivative pricing in discrete time, while the second covers continuous time.
  • Baxter and Rennie’s text is recommended for an intuitive presentation at a moderate mathematical level.
  • A French-language alternative is described as balancing introductory derivatives and stochastic calculus.
  • Roman’s book focuses substantially on discrete-time probability and lattice models before extending to stochastic methods and Black–Scholes.
  • The recommendations assume different levels of mathematical preparation and do not provide a systematic textbook comparison.

Tags

OptionsFuturesDerivatives pricing
Full text
# What are the books in which to study the basics of the derivative financial instruments?


# What are the books in which to study the basics of the derivative financial instruments?












Books similar to Options, Futures, and Other Derivatives by John C. Hull. I need another academic book that explains the basics of quantitative finance derivatives (forward, futures, options)

## Answer by Daneel Olivaw (score 7, accepted)

https://quant.stackexchange.com/a/33155

As mentioned by @Adam, Stochastic Calculus for Finance by Shreve is a good start if you have a reasonably strong mathematical background. Volume I is simpler, as it presents derivative pricing methods in discrete time; Volume II tackles the continuous case.

Also mentioned by @noob2, Financial Calculus: An Introduction to Derivative Pricing, by Baxter and Rennie, is an excellent choice. Both authors were working at banks at the time of the writing (Merrill Lynch and Nomura), so they present the whole theory in very intuitive terms, while keeping the math level to a reasonably standard.

If you read French, another good option is Finance de Marché by Poncet and Portait. It is an excellent book, striking a right balance between Options, Futures, and Other Derivatives and Stochastic Calculus for Finance. It is a pity it is not translated.

## Answer by Adam (score 4)

https://quant.stackexchange.com/a/33152

Seconded Shreve's Stochastic Calculus for Finance I and II, if you have the mathematical background.

The one I worked with is Introduction to the Mathematics of Finance, by Roman. About a senior undergraduate/first year graduate level, most of it will be setting up discrete time probability spaces (for the lattice model) and then briefly extending that into stochastics/Black-Scholes.

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.