15. 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.)

For the next four problems, here are two BDT interest rate trees with effective annual interest rates at each node.
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 0.08112 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