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Let T 0 , cdots, T n denote an initial time T 0 and a set of coupon payment dates. We write i = T

Let T0,cdots,Tn denote an initial time T0 and a set of coupon payment dates. We write i=Ti-Ti-1 for i=1,dots,n. An interest rate cap on LIBOR with strike K pays the holder i(L(Ti-1,Ti)-K) if it is positive at Ti otherwise nothing for i=1,dots,n. An interest rate floor pays the holder i(K-L(Ti-1,Ti)) if it is positive at Ti, otherwise nothing for i=1,dots,n.
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