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. 2020 Sep 28;37:101775. doi: 10.1016/j.frl.2020.101775

Table 3.

The Markov switching model: the influence of JCJ_KCJ on the S&P500 index returns. In Model 1 all parameters switch, in Model 2 only the intercept and variance in residuals switch. The independent variable Δlog(JCJ_KCJ) denotes changes in the logarithm of daily JCJ_KCJ. Sigma is the residual standard deviation, pii (i = 1,  2) is the transition probability of staying in regime i.

Model 1. SPX vs JCJ_KCJ
Regime 1
Regime 2
Parameter Estimate Std. Error p-value Estimate Std. Error p-value
Constant 0.0011 0.0004 0.006 −0.0020 0.0052 0.707
Δlog(JCJ_KCJ) −0.0895 0.0072 0.000 −0.0603 0.0452 0.183
Sigma 0.0054 0.0003 0.0398 0.0038
p11 0.9654 0.0151
p22 0.8904 0.0517

Model 2. SPX vs JCJ_KCJ
Regime 1
Regime 2
Parameter Estimate Std. Error p-value Estimate Std. Error p-value

Constant 0.0011 0.0004 0.006 −0.0013 0.0051 0.792
Δlog(JCJ_KCJ) −0.0887 0.0071 0.000 −0.0887 0.0071 0.000
Sigma 0.0054 0.0003 0.0399 0.0039
p11 0.9654 0.0151
p22 0.8915 0.0512