Sumito, a Japanese exporter, wishes to hedge its $15 million in dollar receivables coming due in 60
Question:
Sumito, a Japanese exporter, wishes to hedge its $15 million in dollar receivables coming due in 60 days. In order to reduce its net cost of hedging to zero, however, Sumito sells a 60-day dollar call option for $15 million with a strike price of 98/$ and uses the premium of $314,000 to buy a 60-day $15 million put option at a strike price of 90/$.
a. Graph the payoff on Sumito's hedged position over the range 80/$-110/$. What risk is Sumito subjecting itself to with this option hedge? (4 marks)
b. What is the net yen value of Sumito's option hedged position at the following future spot rates: 85/$, 95/$, and 105/$? (3 marks)
c. As an alternative to using options, Sumito could have hedged with a 60-day forward contract at a price of 97/$. What would be the yen value of Sumito's hedged receivable if it had used a forward contract to hedge? (3 marks)
d. At what exchange rate will the hedged value of Sumito's dollar receivables be the same whether it used the option hedge or forward hedge? (2 marks)