Consider the following GARCH(1,1) model for the volatility of asset returns š š” : š š” = š š” š š” = ā š” š¢ š” ā š” = š + šæ ā š” ā 1 + š š š” ā 1 2 š¼ š” ā 1 ( š¢ š” ) = 0 š¼ š” ā 1 ( š¢ š” 2 ) = 1 You estimated the following values for the parameters Parameters Estimates MLE š 0.0112 šæ 0.932 š 0.0811 and the variance-covariance matrix is š ( š Ģ ) = [ 0.0012 ā 0.012 0.001 ā 0.012 0.102 ā 0.003 0.001 ā 0.003 0.003 ] Assume the last observation in your sample has ā š = 1.5056 . What is the value of the conditional variance š š ā 1 ( š š ) ? å锹éę©é¢
A
š š ā 1 ( š š ) = 2.266831
B
š š ā 1 ( š š ) = 0
C
There is not enough data to compute š š ā 1 ( š š ) .
D
š š ā 1 ( š š ) = 1.227029
E
š š ā 1 ( š š ) = 1.5056
F
š š ā 1 ( š š ) = 1
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According to the GARCH model ĻTHURSDAY2=Ļ+αRBLANK12+βĻBLANK22\sigma_{THURSDAY}^2 = \omega + \alpha R_{BLANK1}^2 +\beta \sigma_{BLANK2}^2 (Hint: fill in day of the week like Monday, Tuesday...) BLANK1:[Fill in the blank], BLANK2:[Fill in the blank],
Consider the following GARCH(1,1) model for the volatility of asset returns š š” : š š” = š¼ + š½ š š” ā 1 + š š” š š” = ā š” š¢ š” ā š” = š + šæ ā š” ā 1 + š š š” ā 1 2 š¼ š” ā 1 ( š¢ š” ) = 0 š¼ š” ā 1 ( š¢ š” 2 ) = 1 You estimated the following values for the parameters Estimates Parameters š¼ š½ š šæ š Estimates 0.1911 0.9722 0.0011 0.9321 0.0821 Assume that the last 2 observations of the return process are š š = 0.07 and š š ā 1 = 0.03 , and the value of the conditional variance in the last period of your sample is ā š = 0.55 . Then what is the predicted value of the conditional variance ā š + 1 in period š + 1 ?
Consider the following GARCH(1,1) model for the volatility of asset returns š š” : š š” = š¼ + š½ š š” ā 1 + š š” š š” = ā š” š¢ š” ā š” = š + šæ ā š” ā 1 + š š š” ā 1 2 š¼ š” ā 1 ( š¢ š” ) = 0 š¼ š” ā 1 ( š¢ š” 2 ) = 1 You estimated the following values for the parameters š¼ š½ š šæ š 0.5911 0.9222 0.0112 0.9132 0.0611 Assume that the last 2 observations of the return process are š š = 0.04 and š š ā 1 = 0.05 , and the value of the conditional variance in the last period of your sample is ā š = 0.5 . Then what is the predicted value of the conditional variance ā š + 1 in period š + 1 ?
Consider the following GARCH(1,1) model for the volatility of asset returns š š” : š š” = š¼ + š½ š š” ā 1 + š š” š š” = ā š” š¢ š” ā š” = š + šæ ā š” ā 1 + š š š” ā 1 2 š¼ š” ā 1 ( š¢ š” ) = 0 š¼ š” ā 1 ( š¢ š” 2 ) = 1 You estimated the following values for the parameters š¼ š½ š šæ š 0.5911 0.9222 0.0112 0.9132 0.0611 Assume that the last 2 observations of the return process are š š = 0.04 and š š ā 1 = 0.05 , and the value of the conditional variance in the last period of your sample is ā š = 0.5 . Then what is the predicted value of the conditional variance ā š + 1 in period š + 1 ?
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