We extend the study of the algebraic structure of the V ARd,b(k) model defined from the fractional lag operator in Johansen (2005) and derive conditions under which its solution is fractional of order d and displays linear combinations that are fractional of order d− b, d− 2b, · · · , d− cb ≥ 0, for integer c. We then find the corresponding moving average representation and the cofractional rel...
