Stochastic volatility model with regime-switching skewness in heavy-tailed errors for exchange rate returns

被引:14
作者
Nakajima, Jouchi [1 ]
机构
[1] Duke Univ, Dept Stat Sci, Durham, NC 27706 USA
关键词
exchange rate return; generalized hyperbolic skew Student's t-distribution; regime-switching skewness; stochastic volatility; Value-at-Risk; TIME-SERIES; SIMULATION SMOOTHER; MARGINAL LIKELIHOOD; TERM STRUCTURE; DISTRIBUTIONS; LEVERAGE; SAMPLER;
D O I
10.1515/snde-2012-0021
中图分类号
F [经济];
学科分类号
02 ;
摘要
A Bayesian analysis of the stochastic volatility model with regime-switching skewness in heavy-tailed errors is proposed using a generalized hyperbolic (GH) skew Student's t-distribution. The skewness parameter is allowed to shift according to a first-order Markov switching process. We summarize Bayesian methods for model fitting and discuss analyses of exchange rate return time series. Empirical results show that interpretable regime-switching skewness can improve model fit and Value-at-Risk performance in a comparison against several other SV models with constant skewness or jump diffusions.
引用
收藏
页码:499 / 520
页数:22
相关论文
共 48 条
[41]   Bayesian analysis of stochastic volatility-in-mean model with leverage and asymmetrically heavy-tailed error using generalized hyperbolic skew Student's t-distribution [J].
Leao, William L. ;
Abanto-Valle, Carlos A. ;
Chen, Ming-Hui .
STATISTICS AND ITS INTERFACE, 2017, 10 (04) :529-541
[42]   Change in volatility in the won/U.S. dollar daily exchange rate: Stochastic volatility model [J].
Lee J. .
Asia-Pacific Financial Markets, 2000, 7 (1) :83-96
[43]   Valuation of correlation options under a stochastic interest rate model with regime switching [J].
Fan, Kun ;
Wang, Rongming .
FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (05) :1113-1130
[44]   Do interest rate differentials drive the volatility of exchange rates? Evidence from an extended stochastic volatility model [J].
Ulm, M. ;
Hambuckers, J. .
JOURNAL OF EMPIRICAL FINANCE, 2022, 65 :125-148
[45]   FORECASTING EXCHANGE RATE OF SAR/CNY BY INCORPORATING MEMORY AND STOCHASTIC VOLATILITY INTO GBM MODEL [J].
Abbas, Anas ;
Alhagyan, Mohammed .
ADVANCES AND APPLICATIONS IN STATISTICS, 2023, 86 (01) :65-78
[46]   A closed-form pricing formula for European options under a new three-factor stochastic volatility model with regime switching [J].
He, Xin-Jiang ;
Lin, Sha .
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2023, 40 (01) :525-536
[47]   A closed-form pricing formula for European options under a new three-factor stochastic volatility model with regime switching [J].
Xin-Jiang He ;
Sha Lin .
Japan Journal of Industrial and Applied Mathematics, 2023, 40 :525-536
[48]   UNIFORM ASYMPTOTICS FOR THE FINITE-TIME AND INFINITE-TIME RUIN PROBABILITIES IN A DEPENDENT RISK MODEL WITH CONSTANT INTEREST RATE AND HEAVY-TAILED CLAIMS [J].
Yang, Yang ;
Wang, Kaiyong .
LITHUANIAN MATHEMATICAL JOURNAL, 2012, 52 (01) :111-121