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Suppose there is a U.S.-based firm that will produce 100 widgets at T = 0.5 (6 months). They can either sell the widgets in
Suppose there is a U.S.-based firm that will produce 100 widgets at T = 0.5 (6 months). They can either sell the widgets in the U.S. for $1 a piece or in Germany for 1 euro a piece. Assume there are no transportation cost associated with selling widgets. The firm makes the decision to sell domestically or internationally based on the exchange rate between the dollar and the euro. Let ST be the amount of dollars per euro in six months for now. Suppose the firm wants to create an exact hedge. The price of a call option on ST with strike price 1 is 0.31 and the price of a put option on ST with strike price 1 is 0.35. Initial cash flows are invested at an annual continuously compounded riskless rate of 10% until T. What is the total payoff of the hedged firm in dollars in six months? Use 2 decimal places for your answer.
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