ABL shares are currently trading at a price of $12, while HHT shares are trading at a price of $48.76. The risk-free rate is 1.29% per year.

a) If HHT shares have a 77% chance of increasing by 10% and a 23% chance of decreasing by 11% 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 a strike-price of $63.11.

b) 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 $46.0782

c) 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.

d) 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.

e) Find the Black-Scholes price of the call on ABL with a strike price of $12.58 if there is 6 months until the call expires and the annual standard deviation of the stock price is 20%.