References
- Badescu , A. , Kulperger , R. ( 2008 ). GARCH option pricing: A semiparametric approach . Ins. Math. Econ. 43 : 69 – 84 .
- Black , F. , Scholes , M. ( 1973 ). The pricing of options and corporate liabilities . J. Pol. Econ. 81 : 637 – 654 .
- Bollerslev , T. ( 1986 ). Generalized autoregressive conditional heteroskedasticity . J. Economet. 31 : 307 – 327 .
- Bollerslev , T. ( 1987 ). A conditional heteroskedastic time series model for speculative prices and rates of return . Rev. Econ. Statist. 69 : 524 – 547 .
- Boyle , P. ( 1977 ). Options: A monte carlo approach . J. Financial Econom. 4 : 323 – 338 .
- Boyle , P. , Broadie , M. , Glasserman , P. ( 1997 ). Monte Carlo methods for security pricing . J. Econom. Dynam. Control 21 : 1263 – 1321 .
- Duan , J. C. ( 1995 ). The GARCH option pricing model . Math. Finance 5 : 13 – 32 .
- Duan , J. C. , Simonato , J. G. ( 1998 ). Empirical martingale simulation for asset prices . Manage. Sci. 44 : 1218 – 1233 .
- Engle , R. ( 1982 ). Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation . Econometrica 50 : 987 – 1008 .
- Engle , R. , Rosenberg , J. ( 1994 ). Hedging options in a GARCH environment: Testing the term structure of stochastic volatility models. NBER Working Paper Series No. 4958 .
- Engle , R. , Rosenberg , J. ( 1995 ). GARCH gamma . J. Derivatives 47 – 59 .
- Fan , J. , Yao , Q. ( 2003 ). Nonlinear Time Series: Nonparametric and Parametric Models . New York : Springer .
- Gerber , H. U. , Shiu , S. W. ( 1994 ). Option pricing by Esscher transform . Trans. Soc. Actuaries 46 : 99 – 191 .
- Hagerud , G. E. (1996). Discrete time hedging of OTC options in a GARCH environment: A simulation experiment. Working Paper Series in Economics and Finance No. 165.
- Huang , S. F. , Guo , M. H. ( 2011 ). Model risk of the implied GARCH-normal model . Quantitative Finance doi: 10.1080/14697688.2011.630323 .
- Kemma , A. , Vorst , A. ( 1990 ). A pricing method for options based on average asset values . J. Banking and Finance 14 : 113 – 129 .
- Nelson , D. B. ( 1991 ). Coditional heteroskedasticity in asset returns . Econometrica 59 : 347 – 370 .
- Siu , T. K. , Tong , H. , Yang , H. ( 2004 ). On pricing derivatives under GARCH models: A dynamic Gerber-Shiu approach . North Am. Actuarial J. 8 : 17 – 31 .