ABSTRACT
This paper compares two types of volatility models for
returns from an empirical point of view in measuring market risk; namely GARCH(1,1)
and EGARCH(1,1). The models are estimated on Malaysian non-financial sectors
data in which seven sectors are chosen to estimate the relevant parameters. The
models are used to obtain daily volatility forecasts and these volatilities are
used to estimate the Value-at-Risk (VaR) for each sector based on the Monte
Carlo Simulation (MCS) approach. To complement the estimates, several
conservatism tests namely the Mean Relative Bias (MRB) and Root Mean Squared
Relative Bias (RMSRB) are conducted to identify the riskiest position.
Although, t-distribution theoretically is appropriate in handling any reasonable amount of fat tail
or asymmetric biases, this research provides evidence that its appropriateness in
VaR application depends on the type of volatility model which has been
integrated together with MCS and also the nature of the non-financial sectors
involved.
Keywords: Value-at-Risk,
confidence level, conservatism.
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