Problem 1) Suppose the current spot rate is 100 Japanese Yen to 1 US dollar. You expect the spot rate in 30 days to be 98 Yen to the US dollar. Furthermore, (at an annualized rate) you can borrow US dollars at 5.2% and lend them at 5.0% and you can borrow the Japanese Yen at 5.7% and lend them at 5.5%. You can borrow or lend or lend USD 1,000,000 or Yen 100,000,000 and there are no transaction costs. If your expectation of the spot rate in 30 days is correct, answer the following:
a) Which currency would you borrow?
b) How much interest would you pay (in the currency that you borrow)?
c) How much interest would you make (in the currency that you lend)?
d) What would be your net profit (in USD)?
Problem 2. Suppose the current spot rate is 1 Euro to 1 US dollar. You expect the spot rate in 60 days to be 0.97 Euros to the 1 US dollar. Furthermore (at an annualized rate) you can borrow US dollars at 7.0% and lend them at 6.7% and you can borrow Euros at 6.3% and lend them at 6.0%. Assume you can borrow or lend USD 1,000,000 or Euro 1,000,000 and there are no transaction costs. If your expectation of the spot rate in 60 days is correct, answer the following:
a) Which currency would you borrow?
b) How much interest would you pay (in the currency that you borrow)?
c) How much interest would you make (in the currency that you lend)?
d) What would be your net profit (in USD)?
Problem 3. You purchase a call option on pounds for a premium of $0.03 per unit, with an exercise price of $1.64; the option will not be exercised until the expiration date, if at all. If the spot rate on the expiration date is $1.65, what is your net profit or loss per unit?
(round to the nearest penny)
Problem 4. The premium on a pound put option is $0.03 per unit. The exercise price is $1.60. the break-even point is ___________for the buyer of the put, and ___________ for the seller of the put. (assume zero transaction costs and round to the nearest penny)
Problem 5. Assume the spot rate of the Swiss Franc is $0.62 and the one-year forward rate is $0.66. Does the forward rate exhibits a premium or a discount? What is the premium or discount percentage?
Problem 6. A company will receive 1,000,000 euros in 30 days, and is certain that the euro will depreciate substantially over time. Assuming the firm is correct, what is the best strategy? (ex: sell euros forward, remain unhedged, purchase euro currency call options, purchase euros forward, purchase euros put option--choose all that apply)