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Consider a one-factor HJM model where the initial forward curve is given as 6% for one year and 7% between one and two years. The evolution of continuously-compounded one-year forward rates beginning at time , is given by the following binomial process: , where the up and down movements are equiprobable. What is the price of a $100 notional one-year floor on the one-year forward rate at a strike rate of 7%.
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