Testing causality-in-mean and causality-in-variance has been largely studied. However, none of the tests can detect causality-in-mean and causality-in-variance simultaneously. In this article, we introduce a factor double autoregressive (FDAR) model. Based on this model, a score test is proposed...

Interpreting Granger causality as economic causality implies that the underlying VAR model is a structural economic model. However, this is wrong if simultaneity occurs. Magnitude and stability of possible errors are analysed in a simulation study. It is shown that economic misinterpretations of...

The factor of the earlier/later closing market, which appears in pairs of time series with non-synchronism problem exposure, may predetermine the results of the Granger causality test conducted on classic form. The shift in GMT timeline reverses the exposure of the market to the factor of...

The comparison was performed between Granger causality test results, based on the equations in classic and non-synchronism corrected forms applying the pairs of stock market indices with daily data non-synchronism problem. In contrast to the non-synchronism corrected form of the equation, the...

Interpreting Granger causality as economic causality implies that the underlying VAR model is a structural economic model. However, this is wrong if simultaneity occurs. Magnitude and stability of possible errors are analysed in a simulation study. It is shown that economic misinterpretations of...

Summary Interpreting Granger causality as economic causality implies that the underlying VAR model is a structural economic model. This is wrong in the case of simultaneity, and causal conclusions can be misleading. Nevertheless, the empirical relevance of this problem still needs to be...