This paper provides new evidence on the pricing of exchange risk in global stock markets. We conduct empirical tests in a conditional setting with a multivariate GARCH-in-Mean specification and time-varying prices of risk for the US and nine emerging markets (EMs) to determine whether exchange risk is priced under alternative model specifications and exchange rate measures. Since inflation rates in EMs are high and volatile, we argue that the use of real exchange rates offer a better proxy for risk stemming from purchasing power parity deviations. In addition to using real exchange rates, the empirical model allows for partial integration by including a time-varying price of local risk. Our main results support the hypothesis of significant exchange risk premia related to both emerging and developed markets. The price of exchange risk is also significantly time-varying consistent with previous evidence for major developed markets. The empirical evidence also suggests that there is variation across countries and over time in the relative importance of exchange risk premia. However, currency risk remains an important global risk factor even after accounting for local risk.