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Table 5 Parameter estimates for the AR(p)-GARCH (1,1) process. The table reports the parameter estimates for the AR(p)-GARCH (1,1) processes. The notations come from expressions (2.2), (2.40), and (2.41). The numbers in parentheses are the t-ratios. The t-ratios marked with asterisks (double asterisks or three asterisks) indicate that the corresponding coefficients are statistically different from zero at the 10% (5% or 1%) level of significance

From: How to compare market efficiency? The Sharpe ratio based on the ARMA-GARCH forecast

 

S&P 500 Index

SSE Composite Index

a1

−0.0782383

(− 1.87)*

0.0511606

(1.38)

a2

−0.0082874

(− 0.20)

0.0837641

(2.17)**

a3

−0.0786243

(− 2.16)**

Intercept

0.0025749

(3.72)***

0.0006806

(0.65)

α1

0.7341439

(23.76)***

0.8754173

(28.85)***

β1

0.2185006

(8.59)***

0.0910423

(4.17)***

φ

0.0000358

(3.92)***

0.0000367

(2.63)***

Log Likelihood

1867.151

1542.614