Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A study of Value-at-Risk based on M-estimators of the conditional heteroscedastic models
AU - Mukherjee, Kanchan
AU - Iqbal, Farhat
PY - 2012/8
Y1 - 2012/8
N2 - In this paper, we investigate the performance of a class of M-estimators for bothsymmetric and asymmetric conditional heteroscedastic models in the predictionof value-at-risk. The class of estimators includes the least absolute deviation(LAD), Huber’s, Cauchy and B-estimator, as well as the well-known quasimaximum likelihood estimator (QMLE). We use a wide range of summarystatistics to compare both the in-sample and out-of-sample VaR estimates ofthree well-known stock indices. Our empirical study suggests that in generalCauchy, Huber and B-estimator have better performance in predicting one-step ahead VaR than the commonly used QMLE.
AB - In this paper, we investigate the performance of a class of M-estimators for bothsymmetric and asymmetric conditional heteroscedastic models in the predictionof value-at-risk. The class of estimators includes the least absolute deviation(LAD), Huber’s, Cauchy and B-estimator, as well as the well-known quasimaximum likelihood estimator (QMLE). We use a wide range of summarystatistics to compare both the in-sample and out-of-sample VaR estimates ofthree well-known stock indices. Our empirical study suggests that in generalCauchy, Huber and B-estimator have better performance in predicting one-step ahead VaR than the commonly used QMLE.
KW - value-at-risk
KW - GARCH
KW - GJR
KW - M-estimators
KW - M-tests for financial data
U2 - 10.1002/for.1224
DO - 10.1002/for.1224
M3 - Journal article
VL - 31
SP - 377
EP - 390
JO - Journal of Forecasting
JF - Journal of Forecasting
SN - 0277-6693
IS - 5
ER -