Compute the prices of European and American puts. Use a binomial tree.

Let S = $40, K = $40, r = 8% (continuously compounded), o = 30%, 8 = 0, T = 0.5 year, and n = 2. Let S = $40, K = $40, r = 8% (continuously compounded), o = 30%, 8 = 0, T = 0.5 year, and n = 2