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Question 3.7 The symbol a- 60%6 represents the present value of an annuity of 1 pa payable annually in arrears while exactly one of two lives aged 60 is alive. Consider the following assertions about the actuarial function a-, which is evaluated at a positive rate of interest and relates to lives subject to the same mortality rates: I 60:60 equals a6060 II a- 60:60 is greater than a 60:60 III a = 60:60 represents an immediate annuity How many of these assertions are correct? [3] Question 3.8 Determine the values of a65160 and a60165 based on PMA92C20, PFA92C20 mortality and 4% pa interest, if (65) represents a male life and (60) represents a female life. [4] Question 3.9 Arrange the following actuarial functions into ascending order. The functions relate to two healthy lives of the same sex subject to typical UK mortality rates and are evaluated at a positive interest rate. (a) a60160 (b) a60 (C) 460:60 (d) a-10 60:60 (e) 460:60 The symbol used in (d) is as defined in Question 3.7 above. [4] Question 3.10 Describe in words what the symbol App represents, and give both a stochastic mortality definition and an integral definition for it. [5]