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Using a panel data approach, we find statistically significant evidence that bid-ask spreads and deviations from purchasing power parity (PPP) are related to the forward prediction error of ten major U.S. dollar exchange rates over the post Plaza Accord period. Previous literature suggests that bid-ask spreads proxy for liquidity risk and deviations from PPP are a source of time-varying risk premiums. Additionally, the paper provides evidence that the forward discount bias is asymmetric with respect to the sign of the forward premium as well as to an undervalued and overvalued U.S. dollar.