130 Afro-Asian J. Finance and Accounting, Vol. 7, No. 2, 2017
Copyright © 2017 Inderscience Enterprises Ltd.
Robust value-at-risk forecasting of Karachi Stock
Exchange
Farhat Iqbal
Department of Statistics,
University of Balochistan,
Quetta, Pakistan
Email: farhatiqb@gmail.com
Abstract: A class of robust M-estimators for generalised autoregressive
conditional heteroscedastic (GARCH) type models are used for the prediction
of value-at-risk (VaR) of Karachi Stock Exchange (KSE). To better understand
the impact of global financial crisis on KSE, the daily stock return data
is divided into three sub-periods: the pre-crisis period (3 January 2005 to
31 December 2007), the crisis period (2 January 2008 to 30 June 2009), and
the post-crisis period (1 July 2009 to 31 December 2013). Symmetric and
asymmetric GARCH models that capture the most common stylised facts about
index returns such as volatility clustering and leverage effect are fitted to these
time periods and in-sample and out-of-sample estimates of VaR are obtained.
Our results show that M-estimators provide accurate and reliable estimates of
VaR in low and high volatile time. Our findings also show that the asymmetric
model provides better fit than the symmetric model for the KSE.
Keywords: generalised autoregressive conditional heteroscedastic; GARCH;
M-estimator; volatility; value-at-risk; VaR.
Reference to this paper should be made as follows: Iqbal, F. (2017) ‘Robust
value-at-risk forecasting of Karachi Stock Exchange’, Afro-Asian J. Finance
and Accounting, Vol. 7, No. 2, pp.130–146.
Biographical notes: Farhat Iqbal is an Associate Professor of Statistics at
University of Balochistan, Quetta-Pakistan. He holds a Doctorate degree in
Statistics from University of Lancaster, UK and an MSc in Computer Science.
He has published articles in statistics, economics and finance journals. His
areas of interest include volatility modelling, robust estimation and
bootstrapping.
1 Introduction
A commonly used statistic for measuring potential risk in financial market is value-at-risk
(VaR). Financial institutions and banks including portfolio managers use VaR for
financial risk management. It is the quantile of the loss that can occur within a given
portfolio during a specified time period. The stability of the institutions and sustainability
of economic growth largely depend on the comprehensive risk management practices by