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(ii) Suppose the current (at time 0) exchange rate between dollar and euro denoted by x0=1$1.25. Now let us consider the following two transactions: (1)

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(ii) Suppose the current (at time 0) exchange rate between dollar and euro denoted by x0=1$1.25. Now let us consider the following two transactions: (1) Buy one 1-year dollar-denominated euro call option with a strike of $1.20. If we exercise at time 1, we will give up $1.20 for 1. The cost of the option is $0.06545. (2) Buy 1.20 1-year euro-denominated put options on dollar with a strike of 0.833. If exercised at time 1 , these options entail receiving 1 and giving up $1.20. (a) Find the cost of the second transaction in euro, assuming that there is no arbitrage opportunity. [2 marks] (b) Compare the payoffs of these two option positions at time 1 in dollars and in euro, respectively. [5 marks] (ii) Suppose the current (at time 0) exchange rate between dollar and euro denoted by x0=1$1.25. Now let us consider the following two transactions: (1) Buy one 1-year dollar-denominated euro call option with a strike of $1.20. If we exercise at time 1, we will give up $1.20 for 1. The cost of the option is $0.06545. (2) Buy 1.20 1-year euro-denominated put options on dollar with a strike of 0.833. If exercised at time 1 , these options entail receiving 1 and giving up $1.20. (a) Find the cost of the second transaction in euro, assuming that there is no arbitrage opportunity. [2 marks] (b) Compare the payoffs of these two option positions at time 1 in dollars and in euro, respectively. [5 marks]

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