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Measurement of Risk Based on QR-GARCH-EVT Model


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Fig. 1

Sequence Diagram of Sample Closing Price and Rate of Return.
Sequence Diagram of Sample Closing Price and Rate of Return.

Fig. 2

Frequency Chart and Q-Q Diagram of the Yield Sequence.
Frequency Chart and Q-Q Diagram of the Yield Sequence.

Fig. 3

The Mean Residual live plot of the residual sequence.
The Mean Residual live plot of the residual sequence.

Fig. 4

HS300 Residual Sequence EVT Model Diagnosis Diagram.
HS300 Residual Sequence EVT Model Diagnosis Diagram.

Fig. 5

Risk Values Under the Number of Quantiles 0.01 and 0.05.
Risk Values Under the Number of Quantiles 0.01 and 0.05.

POT Model Estimation Results

HS300u1.569
ξ0.054
σ0.561

Descriptive Statistics of Sample Data

SampleMeanMaxMinSDSkewnessKurtosisJ-BQ(10)ARCHLM(10)ADF
HS3000.02003.8786−4.49870.8460−0.44246.45611419 (0.0000)17.56 (0.0022)251.86 (0.0000)−37.00 (0.0000)

The Estimation Results of the QR-GARCH Model of the HS300 Return

Model Parameterωαβη1η2δλ
Estimated Value p−0.125 (0.021)0.264 (0)0.637 (0)−0.053 (0.082)0.085 (0)1.025 (0)0.211 (0.641)

Quantile Risk Value and Test Under Different Conditions

ModelConfidence LevelFailed DaysFailure RateLR
GARCH95%1555.60%2.034
GARCH-EVT95%1364.92%0.042
QR-GRACH95%1495.38%0.843
QR-GARCH-EVT95%1324.77%0.311
GARCH99%321.16%0.390
GARCH-EVT99%301.08%0.977
QR-GRACH99%351.26%0.017
QR-GARCH-EVT99%311.12%1.262
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Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics