You are going to borrow $250m at a floating rate for 5 years. You wish to protect yourself against borrowing rates greater than 10.5%. Using each tree, what is the price of a 5-year interest rate cap? (Assume that the cap settles each year at the time you repay the borrowing.)

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Tree #1 0.08000 0.07676 0.08170 0.07943 0.07552 0.10362 0.10635 0.09953 0.09084 0.13843 0.12473 0.10927 0.15630 0.13143 0.15809 Tree #2 0.08000 0.08 0.08749 0.08261 0.07284 0.09908 0.10689 0.10096 0.08907 0.13060 0.12338 0.10891 0.15078 0.13317 0.16283