2. (Node separation) Consider a short rate binomial lattice where the risk-free rate at r = 0 is 10% At the rate is either 10% (for the upper node) or 0% (for the lower node) Trace out the growth of $1 invested risk free at = 0 and rolled over at = 1 for one more period. The values obtained at = 1 and 2 correspond to Roi and Roz. Show that these factors cannot be represented on a binomial lattice, but rather a full tree is required Draw the tree