CHOOSE ONE Question Two [Total 15 Marks] (i) Describe the concept of means-tested benefits in state pension provision and outline its advantages and disadvantages. [4 marks] (ii) The table below is part of a mortality table used by a life insurance company to calculate survival probabilities for a special type of life insurance policy. Lx dx X 51 52 53 54 55 1,537 1,532 1,525 1,517 1,512 9x (a) Copy and complete the above table filling in the values for dx and qx. [5 marks] (b) Calculate the probability that a policyholder who now aged exactly 51 will survive for the next 3 years and die at age 55 next birthday. [3 marks] (c) Sometimes when no standard mortality table has been produced for female lives, actuaries use the corresponding male table, but apply an "age rating" of 4 years (say), ie they consider a female aged x to be equivalent to a male aged x-4. Explain the rationale underlying this approach. [3 marks]