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Consider a 6-month European put option with a strike price of 100. The underlying asset is selling for 99 and has a standard deviation of

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Consider a 6-month European put option with a strike price of 100. The underlying asset is selling for 99 and has a standard deviation of 24% p.a. Interest rates are 10% p.a. Answer the following questions (show all the details of your calculation and show your results with 4 decimal places). a) Calculate the price of this call using a one-step binomial option pricing model (10 marks) b) Calculate the price of this call using a two-step binomial option pricing model. (15 marks) c) Compare and critically discuss the results from part (a) and (bhumltip: does the price change when the size of the steps change, which one of the two prices you think is more reliable and why, what would happen if this option were American). (25 marks)

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