The current price of a non-dividend-paying biotech stock is $150 with a volatility of 20%. The risk-free rate is 5%. 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 $160.