November 24th, 2009, 7:59 am
It graphs the probability of reaching the nodes on your rate tree against the rate associated with that node. I guess 9.1 shows a binomial tree with two timesteps and an up probability of 0.5. After two time steps there are three nodes (with rates of 4%, 5% and 6%) with associated probabilities:1) up*up = 0.25 2) up*(1-up) + (1-up)*up = 0.5 (there are two paths to reach the middle node)3) (1-up)*(1-up) = 0.25If you increase the step size the number of nodes increases, however you can use the binomial distribution to infer the probabilities associated with each node.