Time-varying equilibrium rates in small open economies: Evidence for Canada

This paper estimates equilibrium rates of macroeconomic aggregates for small open economies. We simultaneously identify the transitory and permanent components of output, inflation, the interest rate and the exchange rate by means of a multivariate trend-cycle decomposition. Realizations of the observed macroeconomic aggregates are explained in terms of unobserved equilibrium rates and unobserved transitory components. The transitory components of the variables are linked to each other through an aggregate demand equation, a Phillips curve, and an equation specifying the interest rate-exchange rate nexus. The model is then applied to Canadian data.