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Please help with the following question: 1) Currently, CMC stock is selling for $23.07. A European call option that expires in 17 days with a
Please help with the following question:
1) Currently, CMC stock is selling for $23.07. A European call option that expires in 17 days with a strike price of $22.50 costs $1.15. The risk-free rate is 1.2%. Use Actual/365 for calculating interest rates here. a) Show how you can replicate the payoffs on a European put option with a strike price of $22.50 that expires in 17 days, using the assets described above. How much should that put option cost today? Two things to show: a payoff table proving you've replicated the put payoff, and a number for the price of that portfolio today. b) Suppose the actual price of that put is $0.60. Show how you can make arbitrage profits in this situation. Usual idea: buy low, sell high, show that your transaction is risk-free. This one is a bit different: instead of a risk-free future payoff for no cash today, try for certain cash today, but no future cash flows. 1) Currently, CMC stock is selling for $23.07. A European call option that expires in 17 days with a strike price of $22.50 costs $1.15. The risk-free rate is 1.2%. Use Actual/365 for calculating interest rates here. a) Show how you can replicate the payoffs on a European put option with a strike price of $22.50 that expires in 17 days, using the assets described above. How much should that put option cost today? Two things to show: a payoff table proving you've replicated the put payoff, and a number for the price of that portfolio today. b) Suppose the actual price of that put is $0.60. Show how you can make arbitrage profits in this situation. Usual idea: buy low, sell high, show that your transaction is risk-free. This one is a bit different: instead of a risk-free future payoff for no cash today, try for certain cash today, but no future cash flowsStep by Step Solution
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