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VECM stands for Vector Error Correction Model. It is used with cointegrated time series and panel data in finance and macroeconometrics. VECM offers a convenient representation of a cointegrated VAR model as it distinguishes between short-run and long-run (equilibrium) effects.

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VECM lag 1 => is 1-1=0 , or VAR (-1) , or VAR at difference. which one?

When I run a regression, all variables are I(1), the optimal lag according to SIC is one, and means I should do VECM (1-1=0) the coefficient of the error correction term (ECT) is negative but not sign …
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VECM lag 1 => is 1-1=0 , or VAR (-1) , or VAR at difference. which one?

it depends on : first: look at the rank in the johansen co-integration test, if it is full, not full or null. if the rank is full ---> run VAR. If the rank not full ---> vecm. If the rank in null ---> …
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