Construct a trinomial tree for the Ho and Lee model, where = 0.05. Suppose that the initial zero coupon interest rate for a maturities of 0.5, 1.0, and 1.5 years are 5%, 5.5%, and 6%. Use two time steps, each six months long. Calculate the value of a zero-coupon bond with a face value of $100 and a remaining life of six months at the ends of the final nodes of the tree. Use the tree to value a one-year European put option with a strike price of 95 on the bond.