Exercise 9.4.3 (Implied Binomial Tree). Suppose that we are given m different European options prices, their identical maturity, their strike prices, their underlying asset’s current price, the underlying asset’s σ, and the riskless rate. (1)What should n be? (2) Assume that the path probabilities for all paths reaching the same node are equal. How do we compute the (implied) branching probabilities at each node of the binomial tree so that these options are all priced correctly?