A Hybrid Fuzzy GJR-GARCH Modeling Approach for Stock Market Volatility Forecasting

Forecasting stock market returns volatility is a challenging task that has attracted the attention of market practitioners, regulators and academics in recent years. This paper proposes a Fuzzy GJR-GARCH model to forecast the volatility of S&P 500 and Ibovespa indexes. The model comprises both t...

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Bibliographic Details
Main Author: Leandro Maciel
Format: Article
Language:English
Published: Brazilian Society of Finance 2012-09-01
Series:Revista Brasileira de Finanças
Subjects:
Online Access:http://bibliotecadigital.fgv.br/ojs/index.php/rbfin/article/view/3871
Description
Summary:Forecasting stock market returns volatility is a challenging task that has attracted the attention of market practitioners, regulators and academics in recent years. This paper proposes a Fuzzy GJR-GARCH model to forecast the volatility of S&P 500 and Ibovespa indexes. The model comprises both the concept of fuzzy inference systems and GJR-GARCH modeling approach in order to consider the principles of time-varying volatility, leverage effects and volatility clustering, in which changes are cataloged by similarity. Moreover, a differential evolution (DE) algorithm is suggested to solve the problem of Fuzzy GJR-GARCH parameters estimation. The results indicate that the proposed method offers significant improvements in volatility forecasting performance in comparison with GARCH-type models and with a current Fuzzy-GARCH model reported in the literature. Furthermore, the DE-based algorithm aims to achieve an optimal solution with a rapid convergence rate.
ISSN:1679-0731
1984-5146