A central assumption for identifying structural shocks in vector autoregressive (VAR) models via heteroskedasticity is the time-invariance of the impact effects of the shocks. It is shown how that assumption can be tested when longrun restrictions are available for identifying structural shocks....

I explore whether time-series methods exploiting the long-run equilibrium properties of the housing market might have detected the disequilibrium in U.S. house prices which pre-dated the Great Recession as it was building up. Based on real-time data, I show that a VAR in levels identified as in...

Since World War I, M1 velocity has been, to a close approximation, the permanent component of the short-term nominal rate. This logically implies that, under monetary regimes which cause inflation to be I(0), permanent fluctuations in M1 velocity uniquely reflect, to a close approximation,...