It is well established that the shocks driving many key macroeconomic and financial variables display time-varying volatility. In this paper we consider estimation and hypothesis testing on the coefficients of the co-integrating relations and the adjustment coefficients in vector autoregressions...

We show that the minimal forward (reverse) recursive unit tests of Banerjee, Lumsdaine and Stock [Journal of Business and Economics Statistics (1992) Vol. 10, pp. 271-288] are consistent against the alternative of a change in persistence from I(0) to I(1) [I(1) to I(0)]. However, these...