Currency hedging with options and futures

This paper examines the optimal hedging decision of a competitive exporting firm which faces concurrently hedgeable exchange rate risk and non-hedgeable price risk. We show that the hedging role of currency options is due to two distinct sources of non-linearity: (i) the multiplicative nature of the price and exchange rate risk; and (ii) the marginal utility function of the firm. In particular, we show that a long put option position is optimal when the price risk is negatively correlated with the exchange rate risk and/or the firm is prudent.