Empirical analysis of SH50ETF and SH50ETF option prices under regime-switching jump-diffusion models

被引:2
作者
Han, Miao [1 ]
Song, Xuefeng [2 ]
Wang, Wei [3 ]
Zhou, Shengwu [1 ]
机构
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] Nanjing Univ Finance & Econ, Sch Management Sci & Engn, Nanjing, Jiangsu, Peoples R China
[3] Ningbo Univ, Dept Financial Engn, Ningbo, Zhejiang, Peoples R China
基金
国家教育部科学基金资助; 中国国家自然科学基金;
关键词
SH50ETF option; option pricing; regime-switching; jump-diffusion; Fast Fourier transform; RETURNS; RATES;
D O I
10.1080/03610926.2019.1662045
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we use extensive empirical data sets from Shanghai 50ETF (SH50ETF) and SH50ETF options markets in China to study how regime-switching jump-diffusion models improve goodness of fit and option pricing performance. Firstly, the model parameters are estimated by using maximum likelihood estimation and the numerical analysis indicates that the regime-switching jump-diffusion models outperform a range of other models. Secondly, the analytical option pricing formulae are obtained via the fast Fourier transform and the empirical results using the proposed option pricing formulae are presented. Finally, we find that the calculated option prices are fairly consistent with the actual market prices.
引用
收藏
页码:2170 / 2187
页数:18
相关论文
共 26 条
[1]   Markov-modulated jump-diffusions for currency option pricing [J].
Bo, Lijun ;
Wang, Yongjin ;
Yang, Xuewei .
INSURANCE MATHEMATICS & ECONOMICS, 2010, 46 (03) :461-469
[2]   Regime switching in foreign exchange rates: Evidence from currency option prices [J].
Bollen, NPB ;
Gray, SF ;
Whaley, RE .
JOURNAL OF ECONOMETRICS, 2000, 94 (1-2) :239-276
[3]  
Carr P., 1999, Journal of Computational Finance, V2, P61
[4]   A tale of two regimes: Theory and empirical evidence for a Markov-modulated jump diffusion model of equity returns and derivative pricing implications [J].
Chang, Charles ;
Fuh, Cheng-Der ;
Lin, Shih-Kuei .
JOURNAL OF BANKING & FINANCE, 2013, 37 (08) :3204-3217
[5]   Detecting log-periodicity in a regime-switching model of stock returns [J].
Chang, George ;
Feigenbaum, James .
QUANTITATIVE FINANCE, 2008, 8 (07) :723-738
[6]   Exchange rate movements and stock market returns in a regime-switching environment: Evidence for BRICS countries [J].
Chkili, Walid ;
Nguyen, Duc Khuong .
RESEARCH IN INTERNATIONAL BUSINESS AND FINANCE, 2014, 31 :46-56
[7]   Option pricing under regime-switching jump-diffusion models [J].
Costabile, Massimo ;
Leccadito, Arturo ;
Massabo, Ivar ;
Russo, Emilio .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 256 :152-167
[8]   Option pricing for pure jump processes with Markov switching compensators [J].
Elliott, RJ ;
Osakwe, CJU .
FINANCE AND STOCHASTICS, 2006, 10 (02) :250-275
[9]   EXACT ADAPTIVE FILTERS FOR MARKOV-CHAINS OBSERVED IN GAUSSIAN-NOISE [J].
ELLIOTT, RJ .
AUTOMATICA, 1994, 30 (09) :1399-1408
[10]   Option pricing and Esscher transform under regime switching [J].
Elliott R.J. ;
Chan L. ;
Siu T.K. .
Annals of Finance, 2005, 1 (4) :423-432