Hedging with mismatched currencies

Abstract

This article presents a model of a risk-averse multinational firm facing risk exposure to a foreign currency cash flow. Forward markets do not exist between the firm's own currency and the foreign currency, but do exist for a third currency. Because a triangular parity condition holds among these three currencies, the available forward markets, albeit incomplete, provide a useful avenue for the firm to indirectly hedge against its foreign exchange rate risk exposure. This article offers analytical insights into the optimal cross-hedging strategies of the firm. In particular, the results show that separate unbiasedness of the forward markets does not necessarily imply a perfect full hedge that eliminates the entire foreign exchange rate risk exposure of the firm. The optimal cross-hedging strategies depend largely on the firm's marginal utility function and on the correlation of the random spot exchange rates. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 859-875, 1999.