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A stock price is currently $30. It is expected to increase to $35 or reduce to $28 in the next month. The risk-free interest

A stock price is currently $30. It is expected to increase to $35 or reduce to $28 in the next month. The

A stock price is currently $30. It is expected to increase to $35 or reduce to $28 in the next month. The risk-free interest rate is 10% per annum with continuous compounding. What is the risk-neutral probability for the stock to be $35 in a month? Calculate the value of a European call option with strike price of $30 and one-month maturity on this stock. Suppose the risk premium of the stock is 5% per annum with continuous compounding. What is the actual probability for the stock to be $35 in a month? What is the expected return (annualized and continuously compounded) of the option? (16pts)

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