APPROXIMATE OPTION PRICING FORMULA FOR BARNDORFF-NIELSEN AND SHEPHARD MODEL
Abstract
For the Barndorf-Nielsen and Shephard model, we present approximate expressions of call option prices based on the decomposition formula developed by [T. Arai (2021) Alos type decomposition formula for Barndor-Nielsen and Shephard model, Journal of Stochastic Analysis2 (2), 3]. Besides, some numerical experiments are also implemented to make sure how effective our approximations are.
References
- 2012) A decomposition formula for option prices in the Heston model and applications to option pricing approximation, Finance and Stochastics 16, 403–422. Crossref, Web of Science, Google Scholar (
- 2015) Calibration of stochastic volatility models via second-order approximation: The Heston case, International Journal of Theoretical and Applied Finance 18, 1550036. Link, Web of Science, Google Scholar (
- 2021) Alòs type decomposition formula for Barndorff–Nielsen and Shephard model, Journal of Stochastic Analysis 2 (2), 3. Crossref, Google Scholar (
- 2017) Local risk-minimization for Barndorff-Nielsen and Shephard models, Finance and Stochastics 21, 551–592. Crossref, Web of Science, Google Scholar (
- 2015) Local risk-minimization for Lévy markets, International Journal of Financial Engineering 2, 1550015. Link, Web of Science, Google Scholar (
- 2001a)
Modelling by Lévy processes for financial econometrics . In: Lévy Processes, O. E. Barndorff-Nielsen, S. I. Resnick and T. Mikosch (eds.), pp. 283–318. Boston, MA: Birkhäuser. Crossref, Google Scholar ( - 2001b) Non-Gaussian Ornstein–Uhlenbeck-based models and some of their uses in financial economics, Journal of the Royal Statistical Society: Series B (Statistical Methodology) 63, 167–241. Crossref, Web of Science, Google Scholar (
- 2004) Financial Modeling with Jump Process. London: Chapman & Hall. Google Scholar (
- 2018) Decomposition formula for jump diffusion models, International Journal of Theoretical and Applied Finance 21, 1850052. Link, Web of Science, Google Scholar (
- 2017) Option price decomposition in spot-dependent volatility models and some applications, International Journal of Stochastic Analysis 2017, 8019498. Crossref, Google Scholar (
- 2003) Option pricing in stochastic volatility models of the Ornstein–Ühlenbeck type, Mathematical Finance 13, 445–466. Crossref, Web of Science, Google Scholar (
- 2003) Lévy Processes in Finance: Pricing Financial Derivatives. Hoboken: John Wiley & Sons. Crossref, Google Scholar (
Remember to check out the Most Cited Articles! |
---|
Be inspired by these new titles
|