(13) Page< of 12 1. For a special 3-year endowment insurance on (x), you are given: Z is the present value random variable for the death benefits = 4x+k 0.01(k+1), k=0, 1, 2 i=0.05 The following death benefits, are payable at end of year of death: • • k 0 1 2 The pure endowment benefit is $400,000 Calculate Var[Z]. bk+l 300,000 350,000 400,000