Forward variance dynamics: Bergomi’s model revisited.
(2014) In Applied Mathematical Finance 21(1). p.84-107- Abstract
- In this article, we propose an arbitrage-free modelling framework for the joint dynamics of forward variance along with the underlying index, which can be seen as a combination of the two approaches proposed by Bergomi. The difference between our modelling framework and the Bergomi (2008. Smile dynamics III. Risk, October, 90–96) models is mainly the ability to compute the prices of VIX futures and options by using semi-analytic formulas. Also, we can express the sensitivities of the prices of VIX futures and options with respect to the model parameters, which enables us to propose an efficient and easy calibration to the VIX futures and options. The calibrated model allows to Delta-hedge VIX options by trading in VIX futures, the... (More)
- In this article, we propose an arbitrage-free modelling framework for the joint dynamics of forward variance along with the underlying index, which can be seen as a combination of the two approaches proposed by Bergomi. The difference between our modelling framework and the Bergomi (2008. Smile dynamics III. Risk, October, 90–96) models is mainly the ability to compute the prices of VIX futures and options by using semi-analytic formulas. Also, we can express the sensitivities of the prices of VIX futures and options with respect to the model parameters, which enables us to propose an efficient and easy calibration to the VIX futures and options. The calibrated model allows to Delta-hedge VIX options by trading in VIX futures, the corresponding hedge ratios can be computed analytically. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7c586810-76e7-4aeb-bfa7-991e73bf6a37
- author
- Aly, Sidi Mohamed LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- variance swap, forward variance, VIX, VIX futures, VIX options, implied volatility, skew, hedging
- in
- Applied Mathematical Finance
- volume
- 21
- issue
- 1
- pages
- 84 - 107
- publisher
- Routledge
- external identifiers
-
- scopus:84892678233
- ISSN
- 1466-4313
- DOI
- 10.1080/1350486X.2013.812329
- language
- English
- LU publication?
- yes
- id
- 7c586810-76e7-4aeb-bfa7-991e73bf6a37
- date added to LUP
- 2016-04-13 13:21:31
- date last changed
- 2022-01-30 02:39:01
@article{7c586810-76e7-4aeb-bfa7-991e73bf6a37, abstract = {{In this article, we propose an arbitrage-free modelling framework for the joint dynamics of forward variance along with the underlying index, which can be seen as a combination of the two approaches proposed by Bergomi. The difference between our modelling framework and the Bergomi (2008. Smile dynamics III. Risk, October, 90–96) models is mainly the ability to compute the prices of VIX futures and options by using semi-analytic formulas. Also, we can express the sensitivities of the prices of VIX futures and options with respect to the model parameters, which enables us to propose an efficient and easy calibration to the VIX futures and options. The calibrated model allows to Delta-hedge VIX options by trading in VIX futures, the corresponding hedge ratios can be computed analytically.}}, author = {{Aly, Sidi Mohamed}}, issn = {{1466-4313}}, keywords = {{variance swap; forward variance; VIX; VIX futures; VIX options; implied volatility; skew; hedging}}, language = {{eng}}, number = {{1}}, pages = {{84--107}}, publisher = {{Routledge}}, series = {{Applied Mathematical Finance}}, title = {{Forward variance dynamics: Bergomi’s model revisited.}}, url = {{http://dx.doi.org/10.1080/1350486X.2013.812329}}, doi = {{10.1080/1350486X.2013.812329}}, volume = {{21}}, year = {{2014}}, }