Exam 27: Factor Models of the Term Structure

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In the Black-Derman-Toy (BDT)model,short rates are distributed as

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Assume annual compounding.The one-year and two-year zero-coupon rates in the BDT model are 6% and 7%.The volatility is given to be σ=0.30\sigma = 0.30 .What are the one-year rates (up and down)after one year?

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