Analysing Extreme Risk in the South African Financial Index (J580) using the Generalised Extreme Value Distribution

Keywords: block maxima/minima, extreme risk analysis, extreme value theory, generalised extreme value distribution, generalised pareto distribution, international financial crises, monthly South African Financial Index (J580);, return level


The aim of this study is to model the probabilistic behaviour of unusually large financial losses (extreme-risk)and gains of the South African Financial Index (J580). Risk is defined as uncertainty in return in this paper. This study makes use of Extreme Value Theory (EVT) for the period years: 1995-2018 to build models that are used to estimate extreme losses and gains. The quarterly block maxima/minima of monthly returns are tted to the Generalised Extreme Value Distribution (GEVD). Return levels (maximum loss/gain) based on the parameters from the GEVD are estimated. A comparative analysis with the Generalised Pareto Distribution (GPD) is carried out. The study reveals that EVT provides an efficient method of forecasting potentially high risks in advance. The conclusion is that analysing extreme risk in the South African Financial Index helps investors understand its riskness better and manage to reduce the risk exposure in this portfolio.

Author Biography

Delson Chikobvu, University of the Free State
Department of Mathematical Statistics and Actuarial Sciences         University of the Free State, South Africa Senior Lecturer


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How to Cite
Chikobvu, D., & Jakata, O. (2020). Analysing Extreme Risk in the South African Financial Index (J580) using the Generalised Extreme Value Distribution. Statistics, Optimization & Information Computing, 8(4), 915-933.
Research Articles