This paper uses several methods to study the interrelationship among Divisia monetary aggregates, prices, and income; allowing for non-stationary, non-linearities, asymmetries, and time-varying relationships among the series. We propose a multivariate regime switching unobserved components model...

We derive a definition of linear cointegration for nonlinear stochastic processes using a martingale representation theorem. The result shows that stationary linear cointegrations can exhibit nonlinear dynamics, in contrast with the normal assumption of linearity. We propose a sequential...

This study examines the long-run relationship between US and Mexican prices. We use panel cointegration techniques that allow for heterogeneous relationships across goods to examine the existence of weak-form and strong-form Purchasing Power Parity (PPP) between the US and Mexico. We construct...