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The current share price is S(0) = 261 and you predict that the share price S(T) in one year will be 251 with probability 0.25,

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The current share price is S(0) = 261 and you predict that the share price S(T) in one year will be 251 with probability 0.25, 283 with probability 0.4, and 316 with probability 0.35. (i) Find the expected profit (or loss) at maturity for the holder of a portfolio who is long two calls with the exercise price E = 280, and long two puts with exercise price E = 300, with all options to be exercised in one year; the total cost of the portfolio is 60 and the risk-free interest rate is 4% per annum. (ii) You must decide whether to invest in the portfolio or an equivalent amount of money in shares, which do you choose and why? The current share price is S(0) = 261 and you predict that the share price S(T) in one year will be 251 with probability 0.25, 283 with probability 0.4, and 316 with probability 0.35. (i) Find the expected profit (or loss) at maturity for the holder of a portfolio who is long two calls with the exercise price E = 280, and long two puts with exercise price E = 300, with all options to be exercised in one year; the total cost of the portfolio is 60 and the risk-free interest rate is 4% per annum. (ii) You must decide whether to invest in the portfolio or an equivalent amount of money in shares, which do you choose and why

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