scholarly journals GARCH Models with Fat-Tailed Distributions and the Hong Kong Stock Market Returns

2017 ◽  
Vol 12 (9) ◽  
pp. 28 ◽  
Author(s):  
Zi-Yi Guo

As one of the world’s largest securities markets, the Hong Kong stock market plays a significant role in facilitating the development of Chinese economy. In this paper, we investigate a suite of widely-used models, the GARCH models in risk management of the Hong Kong stock market returns. To account for conditional volatilities, we consider a new type of fat-tailed distribution, the normal reciprocal inverse Gaussian distribution (NRIG), and compare its empirical performance with two other popular types of fat-tailed distribution, the Student’s t distribution and the normal inverse Gaussian distribution (NIG). We show that the NRIG distribution performs slightly better than the other two types of distribution. Also, our results indicate that it is important to introduce both GJR-terms and the NRIG distribution to improve the models’ performance. Our results illustrate that the asymmetric GARCH NRIG model has practical advantages in quantitative risk management, and serves as a very useful tool for industry participants.

2020 ◽  
Vol 5 (1) ◽  
pp. 42-50
Author(s):  
Rama Krishna Yelamanchili

This papers aims to uncover stylized facts of monthly stock market returns and identify adequate GARCH model with appropriate distribution density that captures conditional variance in monthly stock market returns. We obtain monthly close values of Bombay Stock Exchange’s (BSE) Sensex over the period January 1991 to December 2019 (348 monthly observations). To model the conditional variance, volatility clustering, asymmetry, and leverage effect we apply four conventional GARCH models under three different distribution densities. We use two information criterions to choose best fit model. Results reveal positive Skewness, weaker excess kurtosis, no autocorrelations in relative returns and log returns. On the other side presence of autocorrelation in squared log returns indicates volatility clustering. All the four GARCH models have better information criterion values under Gaussian distribution compared to t-distribution and Generalized Error Distribution. Furthermore, results indicate that conventional GARCH model is adequate to measure the conditional volatility. GJR-GARCH model under Gaussian distribution exhibit leverage effect but statistically not significant at any standard significance levels. Other asymmetric models do not exhibit leverage effect. Among the 12 models modeled in present paper, GARCH model has superior information criterion values, log likelihood value, and lowest standard error values for all the coefficients in the model.        


2021 ◽  
Author(s):  
Jiangsheng Zhao ◽  
Zhibin Xu ◽  
Jiansong Zheng ◽  
Binglin Tang ◽  
Yaoxi Jin

2010 ◽  
Vol 8 (1) ◽  
pp. 785-799
Author(s):  
B. Yangbo ◽  
Jayasinghe Wickramanayake ◽  
John R. Watson ◽  
Stan Tsigos

This paper examines the relationship between aggregate equity mutual fund flows and excess stock market returns in Hong Kong and Singapore. Our findings demonstrate that, in Hong Kong, two-way causality exists between aggregate equity mutual fund flows and stock market returns. In comparison, despite their close proximity and reputation as global hubs no such finding is reported in the case of Singapore. We find that in Singapore, neither aggregate equity mutual fund flows Granger-cause subsequent excess stock market returns nor excess stock market returns Granger-cause subsequent aggregate equity mutual fund flows. The difference in findings is attributed to the degree of openness for each country. Additionally, for both Hong Kong and Singapore, we find that contemporaneous aggregate unexpected equity mutual fund flows positively affect excess stock market returns and vice versa. The study contributes to the literature by providing support with what is already known in regards investor heuristics, that excess stock market returns has a positive effect on aggregate equity mutual fund flows.


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