8. The current price of a non-dividend paying biotech stock is $140 with a volatility of 25%. The risk-free rate is 49. For a three-month time step: (a) What is the percentage up movement? (b) What is the percentage down movement? (c) What is the probability of an up movement in a risk-neutral world? (d) What is the probability of a down movement in a risk-neutral world? Use a two-step tree to value a six-month European call option and a six-month European put option. In both cases the strike price is $150. (8 marks) le cohechdoctocose checs pter 9. In question 8 suppose that a trader sells 10,000 European call options. How many shares of the stock are needed to hedge the position for the first and second three-month period? For the second time period, consider both the case where the stock price moves up during the first period and the case where it moves down during the first period. (4 marks)