A term assurance contract or a life aged 50 exact for a term of 10 years provides a benefit of Kshs. 2000020000 payable at the end of the year of death. The basis is given below

Mortality: AM92 Select

Interest: 4% per annum

(a) Compute the values of the following actuarial symbols

(i) A 1[50]:10A[50]:10 1

(ii)

(iii)

(iv) The second moment of assurance in part (i)

(v)

(vi)

(b) Calculate the expected present value of benefits payable under this contract

(i) EPV (correct to 1 d.p.)

(ii) Variance (correct to 1 d.p.)