Monetary Shocks And Real Exchange Rates In Sticky Price Models Of International Business Cycles

The data show large and persistent deviations of real exchange rates from purchasing power parity. Recent work has shown that to a large extent these movements are driven by deviations from the law of one price for traded goods. In the data, real and nominal exchange rates are about 6 times as volatile as relative price levels and they both are highly persistent, with serial correlations of 0.85 and 0.83, respectively. This paper develops a sticky price model with price discriminating monopolists, which produces deviations from the law of one price for traded goods. Our benchmark model, which has prices set for one quarter at a time and a unit consumption elasticity of money demand, does not come close to reproducing these observations. A model which has producers setting prices for 6 quarters at a time and a consumption elasticity of money demand of 0.27 does much better. In it real and nominal exchange rates are about 3 times as volatile as relative price levels and exchange rates are persistent, with serial correlations of 0.65 and 0.66, respectively.

The central puzzle in international business cycles is that real exchange rates are volatile and persistent. The most popular story for real exchange rate fluctuations is that they are generated by monetary shocks interacting with sticky goods prices. We quantify this story and find that it can account for some of the observed properties of real exchange rates. When prices are held fixed for at least one year, risk aversion is high and preferences are separable in leisure, the model generates real exchange rates that are as volatile as in the data. The model also generates real exchange rates that are persistent, but less so than in the data. If monetary shocks are correlated across countries, then the comovements in aggregates across countries are broadly consistent with those in the data. Making asset markets incomplete or introducing sticky wages does not measurably change the results.

This paper studies dynamic-optimizing model of a semi-small open economy with sticky nominal prices and wages. The model exhibits exchange rate overshooting in response to money supply shocks. The predicted variability of nominal and real exchange rates is roughly consistent with that of G-7 effective exchange rates during the post-Bretton Woods era. The model predicts that a positive domestic money supply shock lowers the domestic nominal interest rate, that it raises output and that it leads to a nominal and real depreciation of the country’s currency. Increases in domestic labor productivity and in the world interest rate too are predicted to induce a nominal and real exchange rate depreciation.

Existing empirical evidence suggests that real exchange rates exhibit hump-shaped dynamics. I show that this is a robust fact across nine large, developed economies. This fact can help explain why existing sticky-price business cycle models have been unable to match the persistence of the real exchange rate. The recent literature has focused on models driven by monetary shocks. These models yield monotonic impulse responses for the real exchange rate. It is extremely difficult for models that have this feature to match the empirical persistence of the real exchange rate. I show that in response to a number of different real shocks a two-country sticky-price business cycle model yields hump-shaped dynamics for the real exchange rate. The hump-shaped dynamics generated by the model are a powerful source of endogenous persistence that allows the model to match the long half-life of the real exchange rate.

Existing empirical evidence suggests that real exchange rates exhibit hump-shaped dynamics. I show that this is a robust fact across nine large, developed economies. This fact can help explain why existing sticky-price business cycle models have been unable to match the persistence of the real exchange rate. The recent literature has focused on models driven by monetary shocks. These models yield monotonic impulse responses for the real exchange rate. It is extremely difficult for models that have this feature to match the empirical persistence of the real exchange rate. I show that in response to a number of different real shocks a two-country sticky-price business cycle model yields hump-shaped dynamics for the real exchange rate. The hump-shaped dynamics generated by the model are a powerful source of endogenous persistence that allows the model to match the long half-life of the real exchange rate.

This paper analyzes the relationship between the real exchange rate and the business cycle in Japan during the floating rate period. A structural vector autoregression is used to identify different types of macroeconomic shocks that determine fluctuations in aggregate output and the real exchange rate. Relative nominal and real demand shocks are found to be the main determinants of variation in real exchange rate changes, while relative output growth is driven primarily by supply shocks. Historical decompositions suggest that the sharp appreciations of the yen in 1993 and 1995 and its subsequent depreciation can be attributed primarily to relative nominal shocks.

Empirically, output and asset returns are highly positively correlated across the United States and the other major industrialized countries. Standard business cycle models that assume flexible prices and wages, in the Real Business Cycle tradition, have great difficulties explaining this fact. This paper presents a dynamic-optimizing stochastic general equilibrium model of a two-country world with sticky nominal prices and wages and a flexible exchange rate. The structure here predicts positive international transmission of country-specific monetary policy and technology shocks, and it generates sizable cross-country correlations of output and of asset returns.