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We will derive a two-state call option value in this problem. Data: s0=$150;X=$160;1+r=110. The two possibilities for sT are $180 and $100. The portfolio consists

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We will derive a two-state call option value in this problem. Data: s0=$150;X=$160;1+r=110. The two possibilities for sT are $180 and $100. The portfolio consists of 1 share of stock and 4 calls short. Required: a. The range of S is $80 while that of C is $20 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) b. Calculate the value of a call option on the stock with an exercise price of $160. (Do not use continuous compounding to calculate the present value of X in this example, because the interest rate is quoted as an effective per-period rate.) (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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