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Academic Journal of Mathematical Sciences, 2022, 3(1); doi: 10.25236/AJMS.2022.030110.

Empirical Analysis of Fund Index Volatility Based on Conditional Heteroscedasticity Model

Author(s)

Xiayi Zhang

Corresponding Author:
Xiayi Zhang
Affiliation(s)

School of Mathematical Sciences, South China Normal University, Guangdong, China

Abstract

In order to study the changes of China's fund market, this paper carries out time series modeling and fitting prediction on the series based on the monthly series data of Shanghai Securities Fund Index from January 2010 to December 2019. EGARCH (1,1) model has a good fitting effect on Shanghai Securities Fund Index series, all parameters are not 0, and the residual series of the model is tested to obey the standard normal distribution. Finally, the fitted model is used to predict the Shanghai Securities Fund Index from January to May 2020, and compare it with the real value to test the accuracy of the model. The results show that the actual values are within the prediction interval of 95% confidence coefficient, and the fitting effect of the model is superior.

Keywords

Shanghai Securities Fund Index, Residual Autoregressive model, EGARCH model, Cointegration Test

Cite This Paper

Xiayi Zhang. Empirical Analysis of Fund Index Volatility Based on Conditional Heteroscedasticity Model. Academic Journal of Mathematical Sciences (2022) Vol. 3, Issue 1: 73-78. https://doi.org/10.25236/AJMS.2022.030110.

References

[1] Lu Haixia. Based on intervention analysis model for the forecast of Shanghai securities fund index [J]. Value engineering, 2019, 38(24): 11-13. DOI: 10.14018/j.carol carroll nki cn13-1085/n.2019.24.005.

[2] Jiang Tao, Wu Junfang. Application of ARIMA Model in fund Index Forecasting [J]. Statistical Education, 2007(07): 12-13.

[3] Li Chuner. AHCH class model of fund income volatility empirical study [J]. Journal of modern business, 2019 (17): 80-82. The DOI: 10.14097/j.carol carroll nki. 5392/2019.17.036.

[4] Wang Yan. Applied Time Series Analysis [M]. China Renmin University Press, 2005. 167-171, 170-172.

[5] Pealat Clement, Bouleux Guillaume, Cheutet Vincent. Improved Time series clustering based on new Geometric Frameworks [J]. Journal of Pattern Recognition, 2022 124.