On regime-switching European option pricing

References

• Barone-Adesi, G., Engle, R. F., & Mancini, L. (2008). A garch option pricing model with filtered historical simulation. The Review of Financial Studies, 21(3), 1223–19. https://doi.org/10.1093/rfs/hhn031
   Web of Science ®Google Scholar
• Bauwens, L., & Lubrano, M. (1998). Bayesian inference on garch models using the gibbs sampler. The Econometrics Journal, 1(1), C23–46. https://doi.org/10.1111/1368-423X.11003
   Google Scholar
• Biswas, A., Goswami, A., & Overbeck, L. (2018). Option pricing in a regime switching stochastic volatility model. Statistics & Probability Letters, 138, 116–126. https://doi.org/10.1016/j.spl.2018.02.056
   Web of Science ®Google Scholar
• Bollen, N. P. (1998). Valuing options in regime-switching models. Journal of Derivatives, 6(1), 38–50. https://doi.org/10.3905/jod.1998.408011
   Google Scholar
• Bollen, N. P., Gray, S. F., & Whaley, R. E. (2000). Regime switching in foreign exchange rates: Evidence from currency option prices. Journal of Econometrics, 94(1–2), 239–276. https://doi.org/10.1016/S0304-4076(99)00022-6
   Web of Science ®Google Scholar
• Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327. https://doi.org/10.1016/0304-4076(86)90063-1
   Web of Science ®Google Scholar
• Buffington, J., & Elliott, R. J. (2002). American options with regime switching. International Journal of Theoretical and Applied Finance, 5(05), 497–514. https://doi.org/10.1142/S0219024902001523
   Google Scholar
• Cai, J. (1994). A markov model of switching-regime arch. Journal of Business & Economic Statistics, 12(3), 309–316. https://doi.org/10.1080/07350015.1994.10524546
   Web of Science ®Google Scholar
• Deelstra, G., Latouche, G., & Simon, M. (2020). On barrier option pricing by erlangization in a regime-switching model with jumps. Journal of Computational and Applied Mathematics, 371, 112606. https://doi.org/10.1016/j.cam.2019.112606
   Web of Science ®Google Scholar
• Dieobold, F. X. (1986). Modeling the persistence of conditional variances: A comment. Econometric Reviews, 5(1), 51–56. https://doi.org/10.1080/07474938608800096
   Google Scholar
• Duan, J. C. (1995). The garch option pricing model. Mathematical Finance, 5(1), 13–32. https://doi.org/10.1111/j.1467-9965.1995.tb00099.x
   Google Scholar
• Duan, J. C., Popova, I., & Ritchken, P. (2002). Option pricing under regime switching. Quantitative Finance, 2(2), 116. https://doi.org/10.1088/1469-7688/2/2/303
   Google Scholar
• Duan, J. C., & Zhang, H. (2001). Pricing hang seng index options around the asian financial crisis–a garch approach. Journal of Banking & Finance, 25(11), 1989–2014. https://doi.org/10.1016/S0378-4266(00)00166-7
   Web of Science ®Google Scholar
• Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of united kingdom inflation. Econometrica: Journal of the Econometric Society, 50(4), 987–1007. https://doi.org/10.2307/1912773
   Web of Science ®Google Scholar
• Godin, F., & Trottier, D. A. (2019). Option pricing under regime-switching models: Novel approaches removing path-dependence. Insurance, Mathematics & Economics, 87, 130–142.
   Web of Science ®Google Scholar
• Godin, F., & Trottier, D. A. (2021). Option pricing in regime-switching frameworks with the extended girsanov principle. Mathematics and Economics.
   Google Scholar
• Gray, S. F. (1996). Modeling the conditional distribution of interest rates as a regime-switching process. Journal of Financial Economics, 42(1), 27–62. https://doi.org/10.1016/0304-405X(96)00875-6
   Web of Science ®Google Scholar
• Hamilton, J. D. (1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica: Journal of the Econometric Society, 57(2), 357–384. https://doi.org/10.2307/1912559
   Web of Science ®Google Scholar
• Hamilton, J. D. (1990). Analysis of time series subject to changes in regime. Journal of Econometrics, 45(1–2), 39–70. https://doi.org/10.1016/0304-4076(90)90093-9
   Web of Science ®Google Scholar
• Hamilton, J. D., & Susmel, R. (1994). Autoregressive conditional heteroskedasticity and changes in regime. Journal of Econometrics, 64(1–2), 307–333. https://doi.org/10.1016/0304-4076(94)90067-1
   Web of Science ®Google Scholar
• Hardy, M. R. (2001). A regime-switching model of long-term stock returns. North American Actuarial Journal, 5(2), 41–53. https://doi.org/10.1080/10920277.2001.10595984
   Google Scholar
• Jarque, C. M., & Bera, A. K. (1980). Efficient tests for normality, homoscedasticity and serial independence of regression residuals. Economics Letters, 6(3), 255–259. https://doi.org/10.1016/0165-1765(80)90024-5
   Web of Science ®Google Scholar
• Kirkby, J. L., & Nguyen, D. (2020). Efficient asian option pricing under regime switching jump diffusions and stochastic volatility models. Annals of Finance, 16(3), 307–351. https://doi.org/10.1007/s10436-020-00366-0
   Web of Science ®Google Scholar
• Lamoureux, C. G., & Lastrapes, W. D. (1990). Persistence in variance, structural change, and the garch model. Journal of Business & Economic Statistics, 8(2), 225–234. https://doi.org/10.1080/07350015.1990.10509794
   Web of Science ®Google Scholar
• Lin, S., & He, X. J. (2020). A regime switching fractional black–Scholes model and european option pricing. Communications in Nonlinear Science & Numerical Simulation, 85, 105222. https://doi.org/10.1016/j.cnsns.2020.105222
   Web of Science ®Google Scholar
• Mitsui, H. (2000). An analysis of nikkei 225 option pricing by a garch model. Gendai-Finance, 7, 57–73.
   Google Scholar
• Mitsui, H., & Satoyoshi, K. (2010). Empirical study of nikkei 225 option with markov switching garch model. Asia-Pacific Financial Markets.
   Google Scholar
• Mitsui, H., & Watanabe, T. (2003). Bayesian analysis of garch option pricing models. Journal Japan Statistical Society(japanese Issue), 33, 307–324.
   Google Scholar
• Nasri, B. R., Remillard, B. N., & Thioub, M. Y. (2020). Goodness-of-fit for regime-switching copula models with application to option pricing. Canadian Journal of Statistics, 48(1), 79–96. https://doi.org/10.1002/cjs.11534
   Web of Science ®Google Scholar
• Siu, T. K., Tong, H., Yang, H. (2004). On pricing derivatives under garch models: A dynamic gerber-shiu approach. North American Actuarial Journal, 8(3), 17–31. https://doi.org/10.1080/10920277.2004.12254408
   Google Scholar
• Yao, D. D., Zhang, Q., & Zhou, X. Y. (2006). A regime-switching model for european options. In Stochastic processes, optimization, and control theory: Applications in financial engineering, queueing networks, and manufacturing systems (pp. 281–300). Springer.
   Google Scholar