We consider an incomplete markets international economy in discrete-time. The first result is an impossibility theorem showing that if cross-currency no-arbitrage is to hold, the exchange rate cannot be a stationary process in levels. The second result is a system of stochastic discount factor...

This paper proposes a measure of exchange rate disconnect. Working in a two-currency international economy, our theory implies that the disconnect is the ratio of two martingales. Weanalyze empirically our measure of disconnect using 406 pairs of economies to reveal a geography of disconnect....

We consider an incomplete markets international economy in discrete-time. The first result is an impossibility theorem showing that if cross-currency no-arbitrage is to hold, the exchange rate cannot be a stationary process in levels. The second result is a system of stochastic discount factor...

Can the exchange rate be stationary in levels? We answer this question in the negative by proving an impossibility theorem, built upon the absence of arbitrage in international economies. We establish the sufficient conditions for the exchange rate to not be a stationary process in levels, and...