Real exchange rate dynamics in sticky-price models with capital

The standard argument for abstracting from capital accumulation in sticky-price macro models is based on their short-run focus: over this horizon, capital does not move much. This argument is more problematic in the context of real exchange rate (RER) dynamics, which are very persistent. In this paper we study RER dynamics in sticky-price models with capital accumulation. We analyze both a model with an economy-wide rental market for homogeneous capital, and an economy in which capital is sector specific. We find that, in response to monetary shocks, capital increases the persistence and reduces the volatility of RERs. Nevertheless, versions of the multi-sector sticky-price model of Carvalho and Nechio (2011) augmented with capital accumulation can match the persistence and volatility of RERs seen in the data, irrespective of the type of capital. When comparing the implications of capital specificity, we find that, perhaps surprisingly, switching from economy-wide capital markets to sector-specific capital tends to decrease the persistence of RERs in response to monetary shocks. Finally, we study how RER dynamics are affected by monetary policy and find that the source of interest rate persistence - policy inertia or persistent policy shocks - is key.