Exchange-rate volatility, exchange-rate disconnect, and the failure of volatility conservation

Empirical analysis of exchange rates has produced puzzles that conventional models of exchange rates cannot explain. Here we deal with four puzzles regarding both real and nominal exchange rates, which are robust and inconsistent with standard theory. These puzzles are that both real and nominal exchange rates: i) are disconnected from fundamentals, ii) are much more volatile than fundamentals, iii) show little di?erence in behavior, and iv) fail to satisfy conservation of volatility. We develop a two-country, two-currency version of the random matching model to study exchange rates. We show that search and legal restrictions can produce exchange-rate dynamics consistent with these four puzzles.