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Assume annual compounding and an interest rate volatility (sigma) of 10%. We have the following information in the market: 1-year spot rate = 4.5%. A

Assume annual compounding and an interest rate volatility (sigma) of 10%. We have the following information in the market: 1-year spot rate = 4.5%. A 2-year 5% annual coupon bond is trading at par. A 3-year 6.5% annual coupon bond is trading at par. Suppose you want to calibrate a three-period binomial interest rate model. What is the value of interest rate in the node r_2,HH?

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