Stochastic Volatility

Carl Chiarella*, Xue Zhong He, Christina Sklibosios Nikitopoulos

*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceedingChapterpeer-review


Empirical studies show that the volatility of asset returns are not constant and the returns are more peaked around the mean and have fatter tails than implied by the normal distribution. These empirical observations have led to models in which the volatility of returns follows a diffusion process. In this chapter, we introduce some stochastic volatility models and consider option prices under stochastic volatility. In particular, we consider the solutions of the option pricing when volatility follows a mean-reverting diffusion process. We also introduce the Heston model, one of the most popular stochastic volatility models.

Original languageEnglish
Title of host publicationDynamic Modeling and Econometrics in Economics and Finance
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages33
Publication statusPublished - 2015
Externally publishedYes

Publication series

NameDynamic Modeling and Econometrics in Economics and Finance
ISSN (Print)1566-0419
ISSN (Electronic)2363-8370


  • Asset Price
  • Implied Volatility
  • Option Price
  • Stochastic Volatility
  • Stochastic Volatility Model


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