Construct a trinomial tree for the Ho-Lee model where σ=0.02. Suppose that the initial zero-coup

Step 1: **Set up the trinomial tree for interest rates using the Ho-Lee model.** - The Ho-Lee

Question

Construct a trinomial tree for the Ho-Lee model where $\sigma=0.02$. Suppose that the initial zero-coupon interest rate for a maturities of $0.5,1.0$, and 1.5 years are $7.5 \%, 8 \%$, and $8.5 \%$. Use two time steps, each 6 months long. Calculate the value of a zero-coupon bond with a face value of $$\$ 100$$ and a remaining life of 6 months at the ends of the final nodes of the tree. Use the tree to value a 1-year European put option with a strike price of 95 on the bond. Compare the price given by your tree with the analytic price given by DerivaGem.

   Construct a trinomial tree for the Ho-Lee model where $\sigma=0.02$. Suppose that the initial zero-coupon interest rate for a maturities of $0.5,1.0$, and 1.5 years are $7.5 \%, 8 \%$, and $8.5 \%$. Use two time steps, each 6 months long. Calculate the value of a zero-coupon bond with a face value of $$\$ 100$$ and a remaining life of 6 months at the ends of the final nodes of the tree. Use the tree to value a 1-year European put option with a strike price of 95 on the bond. Compare the price given by your tree with the analytic price given by DerivaGem.

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 32, Problem 16

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Step 1

** - The Ho-Lee model parameters are given as $\sigma = 0.02$. - The time step $\Delta t = 0.5$ years (since each step is 6 months). - The interest rate movements in the tree are given by $r_{u} = r + \sigma \sqrt{\Delta t}$, $r_{m} = r$, and $r_{d} = r - Show more…

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Construct a trinomial tree for the Ho-Lee model where $\sigma=0.02$. Suppose that the initial zero-coupon interest rate for a maturities of $0.5,1.0$, and 1.5 years are $7.5 \%, 8 \%$, and $8.5 \%$. Use two time steps, each 6 months long. Calculate the value of a zero-coupon bond with a face value of $$\$ 100$$ and a remaining life of 6 months at the ends of the final nodes of the tree. Use the tree to value a 1-year European put option with a strike price of 95 on the bond. Compare the price given by your tree with the analytic price given by DerivaGem.

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