Consider the option on currency HKD against the USD: • Current spot rate is HKD7.50 for 1 USD • Risk-free HKD rate of interest is 5% p.a. • Risk-free USD rate of interest is 2% p.a. • Volatility (σ) of the currency returns is 20% p.a. • Maturity of the option is 3 months. • Strike rate of the option is HKD8.00 for 1 USD • The currency options are European in nature Answer the following questions. (i) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model. (ii) What is the minimum terminal exchange rate for the holder of the call-HKD option to profit from holding the currency option?  (iii) How much does it cost to hold (i.e., buy) a put-HKD option? Do not use the Garman Kohlhagen model.

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