A Term Structure Model for VIX Futures
(2013) In Journal of Futures Markets 33(5). p.421-442- Abstract
- This study develops a term structure model for VIX futures. Instead of deriving the VIX futures price from a model for the instantaneous variance of the S&P 500 or a model for the VIX, the VIX futures price dynamics are specified exogenously. The empirical features of VIX futures returns (positive skewness, excess kurtosis, and a decreasing volatility term structure for longer term expirations) are captured by assuming that they are normal inverse Gaussian distributed and scaled by a volatility function that is dependent on the maturity. The usefulness of the resulting model is illustrated in two applications: risk management (via calculating value at risk (VaR)) and asset pricing (via pricing hypothetical VIX options). The results... (More)
- This study develops a term structure model for VIX futures. Instead of deriving the VIX futures price from a model for the instantaneous variance of the S&P 500 or a model for the VIX, the VIX futures price dynamics are specified exogenously. The empirical features of VIX futures returns (positive skewness, excess kurtosis, and a decreasing volatility term structure for longer term expirations) are captured by assuming that they are normal inverse Gaussian distributed and scaled by a volatility function that is dependent on the maturity. The usefulness of the resulting model is illustrated in two applications: risk management (via calculating value at risk (VaR)) and asset pricing (via pricing hypothetical VIX options). The results show that the model provides a good fit for the empirical term structure of VIX futures, produces good VaR estimates, and is promising for use in pricing VIX options. (c) 2012 Wiley Periodicals, Inc. Jrl Fut Mark 33:421-442, 2013 (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3576903
- author
- Huskaj, Bujar LU and Nossman, Marcus
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Futures Markets
- volume
- 33
- issue
- 5
- pages
- 421 - 442
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- wos:000314772500002
- scopus:84873313454
- ISSN
- 1096-9934
- DOI
- 10.1002/fut.21550
- language
- English
- LU publication?
- yes
- id
- fcdd18a5-ac89-4d90-b90c-e3a71d3442c8 (old id 3576903)
- date added to LUP
- 2016-04-01 10:43:18
- date last changed
- 2022-03-27 18:57:16
@article{fcdd18a5-ac89-4d90-b90c-e3a71d3442c8,
abstract = {{This study develops a term structure model for VIX futures. Instead of deriving the VIX futures price from a model for the instantaneous variance of the S&P 500 or a model for the VIX, the VIX futures price dynamics are specified exogenously. The empirical features of VIX futures returns (positive skewness, excess kurtosis, and a decreasing volatility term structure for longer term expirations) are captured by assuming that they are normal inverse Gaussian distributed and scaled by a volatility function that is dependent on the maturity. The usefulness of the resulting model is illustrated in two applications: risk management (via calculating value at risk (VaR)) and asset pricing (via pricing hypothetical VIX options). The results show that the model provides a good fit for the empirical term structure of VIX futures, produces good VaR estimates, and is promising for use in pricing VIX options. (c) 2012 Wiley Periodicals, Inc. Jrl Fut Mark 33:421-442, 2013}},
author = {{Huskaj, Bujar and Nossman, Marcus}},
issn = {{1096-9934}},
language = {{eng}},
number = {{5}},
pages = {{421--442}},
publisher = {{John Wiley & Sons Inc.}},
series = {{Journal of Futures Markets}},
title = {{A Term Structure Model for VIX Futures}},
url = {{http://dx.doi.org/10.1002/fut.21550}},
doi = {{10.1002/fut.21550}},
volume = {{33}},
year = {{2013}},
}