f) A life insurance company issues 20-year temporary assurance policies to lives aged...

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Accounting

f) A life insurance company issues 20-year temporary assurance policies to lives
aged 55. The sum assured, which is payable immediately on death, is Ksh
5,000,000 for the first 10 years, and Ksh 10,000,000 thereafter. Level annual
premiums are payable in advance for 20 years, or until earlier death. The
premium basis is: Mortality AM92 Ultimate. Interest: 4% p.a and no
expenses.
(i) Calculate the annual premium.
(ii) Find the net premium reserve ten years after the commencement
of the policy, immediately before the payment of the eleventh
premium, assuming the reserving basis is the same as the
premium basis.
(iii) Give an explanation of your numerical answer to part (ii).
Describe the disadvantages to the insurance company of issuing
this policy.
(iv) How could the terms of the policy be altered, so as to remove the
disadvantages described in part (iii)?
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