English

Cointegrated Solutions of Unit-Root VARs: An Extended Representation Theorem

Econometrics 2021-02-23 v1

Abstract

This paper establishes an extended representation theorem for unit-root VARs. A specific algebraic technique is devised to recover stationarity from the solution of the model in the form of a cointegrating transformation. Closed forms of the results of interest are derived for integrated processes up to the 4-th order. An extension to higher-order processes turns out to be within the reach on an induction argument.

Cite

@article{arxiv.2102.10626,
  title  = {Cointegrated Solutions of Unit-Root VARs: An Extended Representation Theorem},
  author = {Mario Faliva and Maria Grazia Zoia},
  journal= {arXiv preprint arXiv:2102.10626},
  year   = {2021}
}
R2 v1 2026-06-23T23:22:29.543Z