Analysis of stock exchange risk and currency in South African Financial Markets using stable parameter estimation
Open Access
- 26 January 2022
- journal article
- Published by Center for Strategic Studies in Business and Finance SSBFNET in International Journal of Finance & Banking Studies (2147-4486)
- Vol. 11 (1), 120-131
- https://doi.org/10.20525/ijfbs.v11i1.1524
Abstract
In the preceding decade, the South African economy has experienced challenges due to global disruptive events, hence, the implementation of risk mitigation strategies becomes a priority in volatile markets. Stable distributions account for skewness and heavy-tailed behaviour which are frequently observed in financial data. This study aims to investigate the fit of stable distributions for three FTSE/JSE indices and the USD/ZAR currency exchange rate. The maximum likelihood method was applied to fit Nolan’s -parameterization stable distribution. Value at Risk (VaR) is measure assessing market risk, therefore, VaR estimates and Kupiec likelihood test are applied to evaluate the extreme tail behaviour of the fitted stable model. Results show the robustness of stable distributions in the long and short position for each daily returns. This research validates the use of stable distributions aimed at capturing the characteristics financial data. Those concerned with curtailing losses and investigating alternatives for financial modeling in the South African financial industry may benefit the most by using stable distributions.Keywords
This publication has 24 references indexed in Scilit:
- Fat-Tailed Models for Risk EstimationThe Journal of Portfolio Management, 2011
- Backtesting Parametric Value-at-Risk With Estimation RiskJournal of Business & Economic Statistics, 2010
- Evaluating Interval ForecastsInternational Economic Review, 1998
- Measuring Tail Thickness to Estimate the Stable Index α: A CritiqueJournal of Business & Economic Statistics, 1997
- Numerical calculation of stable densities and distribution functionsCommunications in Statistics. Stochastic Models, 1997
- Bayesian Inference for Stable DistributionsJournal of the American Statistical Association, 1995
- On the Asymptotic Normality of the Maximum-Likelihood Estimate when Sampling from a Stable DistributionThe Annals of Statistics, 1973
- Stable Distributions in Statistical Inference: 1. Symmetric Stable Distributions Compared to other Symmetric Long-Tailed DistributionsJournal of the American Statistical Association, 1973
- The Variation of Certain Speculative PricesThe Journal of Business, 1963
- Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic ProcessesThe Annals of Mathematical Statistics, 1952