This paper analyzes optimal production and hedging decisions of a risk-averse exporting firm in a developing country. The firm cares about real profits, since the spot exchange rate and the domestic price level are uncertain. It is demonstrated that a separation property holds although there are two sources of risk and only one hedging instrument exists. The authors examine the optimal risk management of the firm. In contrast to most hedging models, the real risk premium is important for the optimal hedging strategy.
Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We study the case of constant relative risk aversion (of some order) to investigate on different equivalence relations in order to determine the, possibly infinite, number of equivalence classes when utility functions satisfy a specific form. Then we apply our results to standard applications in economics and finance, for example, to the effect of price volatility on optimum hedging.
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Documents inJEL-Classification: D81, D11, G11
This note studies the optimal production and hedging decisions of a competitive international firm that exports to two foreign countries. The firm faces multiple sources of exchange rate uncertainty. Cross-hedging is plausible in that one of the two foreign countries has a currency forward market. We show that the firm's optimal forward position is an overhedge, a full-hedge or an under-hedge, depending on whether the two random exchange rates are strongly positively correlated, uncorrelated or negatively correlated, respectively. JEL Classification Numbers: D21, D81, F31.
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