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Mathematics 2019, 7(3), 274; https://doi.org/10.3390/math7030274

Risk Measurement of Stock Markets in BRICS, G7, and G20: Vine Copulas versus Factor Copulas

1
Faculty of Economics, Chiang Mai University, Chiang Mai 50200, Thailand
2
Faculty of Economics, Shandong University of Finance and Economics, Jinan 250004, China
3
Center of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Chiang Mai 50200, Thailand
*
Author to whom correspondence should be addressed.
Received: 29 January 2019 / Revised: 9 March 2019 / Accepted: 14 March 2019 / Published: 18 March 2019
(This article belongs to the Special Issue Advanced Methods in Mathematical Finance)
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PDF [676 KB, uploaded 18 March 2019]
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Abstract

Multivariate copulas have been widely used to handle risk in the financial market. This paper aimed to adopt two novel multivariate copulas, Vine copulas and Factor copulas, to measure and compare the financial risks of the emerging economy, developed economy, and global economy. In this paper, we used data from three groups (BRICS, which stands for emerging markets, specifically, those of Brazil, Russia, India, China, and South Africa; G7, which refers to developed countries; and G20, which represents the global market), separated into three periods (pre-crisis, crisis, and post-crisis) and weighed Value at Risk (VaR) and Expected Shortfall (ES) (based on their market capitalization) to compare among three copulas, C-Vine, D-Vine, and Factor copulas. Also, real financial data demonstrated that Factor copulas have stronger stability and perform better than the other two copulas in high-dimensional data. Moreover, we showed that BRICS has the highest risk and G20 has the lowest risk of the three groups. View Full-Text
Keywords: financial crisis; vine copulas; factor copulas; value at risk; expected shortfall financial crisis; vine copulas; factor copulas; value at risk; expected shortfall
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Song, Q.; Liu, J.; Sriboonchitta, S. Risk Measurement of Stock Markets in BRICS, G7, and G20: Vine Copulas versus Factor Copulas. Mathematics 2019, 7, 274.

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