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Question 1: ABL shares are currently trading at a price of $24, while HHT shares are trading at a price of $34.4. The risk-free rate

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Question 1: ABL shares are currently trading at a price of $24, while HHT shares are trading at a price of $34.4. The risk-free rate is 1.23% per year. Using the information above, perform each of the following tasks: a) Identify which of the following options are in-the-money, out-of-the-money or at-the-money: Call on ABL with a strike of $22.76, Call on ABL with a strike-price of $23, Put on HHT with a strike-price of $33.04 b) If HHT shares have a 68% chance of increasing by 10% and a 32% chance of decreasing by 15% by the date of the option expiration, what will be the expected return on HHT shares and the expected return on a protective put position? For simplicity you may assume the put has a price of $1 and has the same strike-price as listed above. c) Compute the Delta (number of shares) that if you also short a call on HHT will create a risk-free portfolio. Assume the call is European and that the strike-price is $31.82 d) Using the information above, compute the risk-neutral probability of HHT shares increasing 10% if the time-step to the next node is 1 year. e) Identify the name of the strategy that has one long stock and one short call. Any and all options may be assumed to have the same strike-price in answering this question. f) Find the Black-Scholes price of the call on ABL with a strike price of $22.76 if there is 6 months until the call expires and the annual standard deviation of the stock price is 20%

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