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For currencies with highly developed forward markets a well-known separation theorem holds which implies that international firms fully hedge the exchange rate risk if the forward markets are unbiased. In this paper we present a model of a risk-averse firm when perfect hedging instruments are not available. Instead the firm can cross-hedge the exchange-rate risk by using the forward markets of a third country's currency. We demonstrate that the unbiasedness of all forward markets does not imply full hedge, although the firm has the option to hedge all the risks. Copyright 1996 by Blackwell Publishing Ltd.