An examination of the continuous-time dynamics of international volatility indices amid the recent market turmoil
Volatility indices have been designed for many markets as gauges to measure investors' fear of market crash. The recent market turmoil has produced historically high volatility levels. We take a look at the behavior of the VIX and VSTOXX indices by including the recent market turmoil into the data. We estimate various continuous-time models with focus on the structure of the drift and diffusion functions. Two methodologies are utilized: the maximum likelihood estimation, and Aït-Sahalia's parametric specification test. While the results from the parametric specification test advocate strongly for specifying more flexible drift and diffusion functions, nonlinear drift structure often only adds negligible benefit in terms of the likelihood function value. Simulation is carried out to study the finite sample bias and jump omission bias. Our results call for caution against finite sample bias when adopting a particular model or fixing a particular parameter vector.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
- Windcliff, H. & Forsyth, P.A. & Vetzal, K.R., 2006. "Pricing methods and hedging strategies for volatility derivatives," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 409-431, February.
- Li, Minqiang, 2008.
"A Damped Diffusion Framework for Financial Modeling and Closed-form Maximum Likelihood Estimation,"
11185, University Library of Munich, Germany.
- Li, Minqiang, 2010. "A damped diffusion framework for financial modeling and closed-form maximum likelihood estimation," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 132-157, February.
- Brenner, Menachem & Ou, Ernest Y. & Zhang, Jin E., 2006. "Hedging volatility risk," Journal of Banking & Finance, Elsevier, vol. 30(3), pages 811-821, March.
- Yacine Aït-Sahalia, 1999. "Transition Densities for Interest Rate and Other Nonlinear Diffusions," Journal of Finance, American Finance Association, vol. 54(4), pages 1361-1395, 08.
- David A. Chapman & Neil D. Pearson, 2000.
"Is the Short Rate Drift Actually Nonlinear?,"
Journal of Finance,
American Finance Association, vol. 55(1), pages 355-388, 02.
- Yacine Ait-Sahalia, 2002. "Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach," Econometrica, Econometric Society, vol. 70(1), pages 223-262, January.
- Hideyuki Takamizawa, 2008.
"Is Nonlinear Drift Implied by the Short End of the Term Structure?,"
Review of Financial Studies,
Society for Financial Studies, vol. 21(1), pages 311-346, January.
- Takamizawa, Hideyuki, 2006. "Is Nonlinear Drift Implied by the Short-End of the Term Structure?," Discussion Papers 2006-08, Graduate School of Economics, Hitotsubashi University.
- Li, Minqiang & Pearson, Neil D. & Poteshman, Allen M., 2004. "Conditional estimation of diffusion processes," Journal of Financial Economics, Elsevier, vol. 74(1), pages 31-66, October.
- Yacine Ait-Sahalia, 1995.
"Testing Continuous-Time Models of the Spot Interest Rate,"
NBER Working Papers
5346, National Bureau of Economic Research, Inc.
- Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
- Christopher S. Jones, 2003. "Nonlinear Mean Reversion in the Short-Term Interest Rate," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 793-843, July.
- Dotsis, George & Psychoyios, Dimitris & Skiadopoulos, George, 2007. "An empirical comparison of continuous-time models of implied volatility indices," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3584-3603, December.
- Grunbichler, Andreas & Longstaff, Francis A., 1996. "Valuing futures and options on volatility," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 985-1001, July.
- Bakshi, Gurdip & Ju, Nengjiu & Ou-Yang, Hui, 2006. "Estimation of continuous-time models with an application to equity volatility dynamics," Journal of Financial Economics, Elsevier, vol. 82(1), pages 227-249, October.
When requesting a correction, please mention this item's handle: RePEc:eee:empfin:v:22:y:2013:i:c:p:128-139. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.