Question

Assume that the spot price of the Canadian dollar, CAD, is 0.7140 USD (USD per CAD). Assume also that the CAD/USD exchange rate has a volatility of 12% per annum. The risk-free rates of interest in Canada and the United States are 0.50% and 0.80% per annum, respectively. Exchange rate between USD and CAD (Canadian dollar) is 0.7140.

1. What is the value of a European CALL Option with maturity of 6-month to buy one CAD for 0.7100USD. (In other words, if K=0.7100USD per CAD, what is the call option value)

2. Using the put-call parity condition for European currency options, find the value of a European put option (with maturity of 6-month and the same exercise price as the call option) to sell one Canadian dollar, CAD, for 0.7100USD?

(If you wish, you can find out the value of put option using BSM formula and see if you get the same result as using the put-call parity. If you don not get the same results, then you must have made a mistake in calculating the put option using the BSM formula. However, the numbers are so close and you can make rounding along the way may give rise to different results. So, as long as you get quite close numbers, then it should be fine)

Please show your work!

Answer 1

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