Calculate the price of a three-month call option

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Question - A one-step binomial tree is used to model the impact of an important announcement on the stock price of Company XYZ. There is a 50% chance that the announcement will be positive for the company. The Company does not pay dividends.

Current stock price = K20

Stock price after good news = K30

Stock price after bad news = K15

Time period = 3 months

Risk-free rate (continuous compounding) = 5 %

a) Calculate the price of a 3-month call option on the Company stock with strike price equal to K22.

b) Suppose you are a market-maker in the Luse Index forward contracts. The Luse Index spot price is K1, 100 and the annual risk free rate is 5%.

i. Calculate the forward price for delivery in 9 months.

ii. If the actual forward price is K1,122, how can you take advantage on this situation?

iii. What are the problems that you will face in taking advantage of the situation?

Reference no: EM132979930

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