Assume that the current stock price is $45. The stock price in one year can be either
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Question:
Assume that the current stock price is $45. The stock price in one year can be either $62 or $25. The risk-free rate is 2%.
(a) Calculate today's value of a one-year European call option on the stock with exercise price of $38 by using the binomial option pricing model. Explicitly calculate the replicating portfolio. Show your calculations.
(b) Calculate today's value of a one-year European call option on the stock with exercise price of $38 by using risk-neutral probabilities. Explicitly calculate the risk-neutral probability of the stock price moving to $62. Show your calculations.
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