I need to make a VAR model with variables: industrial production index, cumulative sanctions index, exchange rate, oil and gas prices. The ADF test shows stationarity for the type without drift and trend for the first differences of variables, however, the results of the VAR model give large information criteria and the absence of autocorrelation only with large degrees of freedom when using these variables. Should I move on to the specifications of the VAR model or do I need to further work out the variables (make adjustments)? Is there any checklist that I can follow in order not to get into a mess

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