Modeling and pricing long memory in stock market volatility
Publication
, Journal Article
Bollerslev, T; Mikkelsen, HO
Published in: Journal of Econometrics
January 1, 1996
A new class of fractionally integrated GARCH and EGARCH models for characterizing financial market volatility is discussed. Monte Carlo simulations illustrate the reliability of quasi maximum likelihood estimation methods, standard model selection criteria, and residual-based portmanteau diagnostic tests in this context. New empirical evidence suggests that the apparent long-run dependence in U.S. stock market volatility is best described by a mean-reverting fractionally integrated process, so that a shock to the optimal forecast of the future conditional variance dissipate at a slow hyperbolic rate. The asset pricing implications of this finding is illustrated via the implementation of various option pricing formula.
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Published In
Journal of Econometrics
DOI
ISSN
0304-4076
Publication Date
January 1, 1996
Volume
73
Issue
1
Start / End Page
151 / 184
Related Subject Headings
- Econometrics
- 4905 Statistics
- 3802 Econometrics
- 3801 Applied economics
- 1403 Econometrics
- 1402 Applied Economics
- 0104 Statistics
Citation
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ICMJE
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Bollerslev, T., & Mikkelsen, H. O. (1996). Modeling and pricing long memory in stock market volatility. Journal of Econometrics, 73(1), 151–184. https://doi.org/10.1016/0304-4076(95)01736-4
Bollerslev, T., and H. O. Mikkelsen. “Modeling and pricing long memory in stock market volatility.” Journal of Econometrics 73, no. 1 (January 1, 1996): 151–84. https://doi.org/10.1016/0304-4076(95)01736-4.
Bollerslev T, Mikkelsen HO. Modeling and pricing long memory in stock market volatility. Journal of Econometrics. 1996 Jan 1;73(1):151–84.
Bollerslev, T., and H. O. Mikkelsen. “Modeling and pricing long memory in stock market volatility.” Journal of Econometrics, vol. 73, no. 1, Jan. 1996, pp. 151–84. Scopus, doi:10.1016/0304-4076(95)01736-4.
Bollerslev T, Mikkelsen HO. Modeling and pricing long memory in stock market volatility. Journal of Econometrics. 1996 Jan 1;73(1):151–184.
Published In
Journal of Econometrics
DOI
ISSN
0304-4076
Publication Date
January 1, 1996
Volume
73
Issue
1
Start / End Page
151 / 184
Related Subject Headings
- Econometrics
- 4905 Statistics
- 3802 Econometrics
- 3801 Applied economics
- 1403 Econometrics
- 1402 Applied Economics
- 0104 Statistics