Chapter 5, Problem 4ST

On January 11, the spot exchange rate for the U.S. dollar is $0.70 per Canadian dollar. In one year’s time, the Canadian dollar is expected to appreciate by 20 percent or depreciate by 15 percent. We have a European put option on U.S. dollars expiring in one year, with an exercise price of 1.39 CND$/US$, that is currently selling for a price of $2.93. Each put option gives the holder the right to sell 10,000 U.S. dollars. The current one-year Canadian Treasury Bill rate is 2 percent, while the one-year U.S. Treasury Bill rate is 3 percent, both compounded annually. Treat the Canadian dollar as the domestic currency. a. What is the estimated value of this put option by using the binomial model?

On January 11, the spot exchange rate for the U.S. dollar is $0.70 per Canadian dollar. In one year’s time, the Canadian dollar is expected to appreciate by 20 percent or depreciate by 15 percent. We have a European put option on U.S. dollars expiring in one year, with an exercise price of 1.39 CND$/US$, that is currently selling for a price of $2.93. Each put option gives the holder the right to sell 10,000 U.S. dollars. The current one-year Canadian Treasury Bill rate is 2 percent, while the one-year U.S. Treasury Bill rate is 3 percent, both compounded annually. Treat the Canadian dollar as the domestic currency.   b. Calculate the estimated value of this put option for U.S. T-Bill rates of 0%, 1%, 2%, 4%, 5%, and 6%. Plot these values in a graph (by hand or using Excel), with put option values on the y-axis and U.S. T-bill rates on the x-axis. What can we conclude about the relationship between foreign interest rates and foreign currency put option values?

On January 11, the spot exchange rate for the U.S. dollar is $0.70 per Canadian dollar. In one year’s time, the Canadian dollar is expected to appreciate by 20 percent or depreciate by 15 percent. We have a European put option on U.S. dollars expiring in one year, with an exercise price of 1.39 CND$/US$, that is currently selling for a price of $2.93. Each put option gives the holder the right to sell 10,000 U.S. dollars. The current one-year Canadian Treasury Bill rate is 2 percent, while the one-year U.S. Treasury Bill rate is 3 percent, both compounded annually. Treat the Canadian dollar as the domestic currency.   c. Calculate the estimated value of this put option for Canadian T-Bill rates of 0%, 1%, 2%, 4%, 5%, and 6%. Plot these values in a graph (by hand or using Excel), with put option values on the y-axis and Canadian T-bill rates on the x-axis. What can we conclude about the relationship between domestic interest rates and foreign currency put option values? xxxx

On January 11, the spot exchange rate for the U.S. dollar is $0.70 per Canadian dollar. In one year’s time, the Canadian dollar is expected to appreciate by 20 percent or depreciate by 15 percent. We have a European put option on U.S. dollars expiring in one year, with an exercise price of 1.39 CND$/US$, that is currently selling for a price of $2.93. Each put option gives the holder the right to sell 10,000 U.S. dollars. The current one-year Canadian Treasury Bill rate is 2 percent, while the one-year U.S. Treasury Bill rate is 3 percent, both compounded annually. Treat the Canadian dollar as the domestic currency.   c. Calculate the estimated value of this put option for Canadian T-Bill rates of 0%, 1%, 2%, 4%, 5%, and 6%. Plot these values in a graph (by hand or using Excel), with put option values on the y-axis and Canadian T-bill rates on the x-axis. What can we conclude about the relationship between domestic interest rates and foreign currency put option values?

A trader focuses principally on the Australian Dollar/Singapore Dollar (A$/S$) cross-rate. The current spot rate is S$0.9/A$.   The trader expects after 2 months the cross rate will be S$0.79/A$. The trader plans to purchase an option, and has the following choices: A CALL option on S$ has a strike price of S$0.85/A$ and a premium of A$0.00037/S$. A PUT option on S$ has a strike price of S$0.85/A$ and a premium of A$0.00048/S$.   i. Determine if the trader should buy a PUT option or a CALL option on S$.   ii. If the trader buys the option decided in (i), determine net profit for the trader if the spot rate after 2 months is as the trader expects.   iii. If the spot rate after 2 months is not what the trader expected and is S$0.61/A$, will the option the trader buys be at-the-money, or in-the-money, or out-of-the-money?   [[Notably, the trader is purchasing option on S$ -- meaning S$ is the foreign currency in this instance]]

You purchased a put option on Australian dollars for RM0.02 per unit. The strike price was RM4.25, and the spot rate at the time the option was exercised was RM4.38. Assuming that there are 13,830 units in the Australian dollar option.Would you exercise the option? What will your net profit on the put option？