Consider a financial asset x which pays (10,10,10,110} at time t={0.5, 1, 1.5 ,2).

With respect to an interest rate term structure given by

i(0,0.5) = 11.25%,

i(0,1) = 11.50%

i(0,1.5) =12.05% ,

i(0,2) = 12.70%,

compute the duration of x