Actuarial Notes

SOA Exam FAM Sample Question 6.52

Study guide: Exam FAM

For a fully discrete 10-payment whole life insurance of H on (45), you are given:

(i) Expenses payable at the beginning of each year are as follows:

Expense Type First Year Years 2-10 Years 11+
Per policy 100 20 10
% of Premium 105% 5% 0%

(ii) Mortality follows the Standard Ultimate Life Table

(iii) i = 0.05

(iv) The gross annual premium, calculated using the equivalence principle, is of the form G = gH + f, where g is the premium rate per 1 of insurance and f is the per policy fee

Calculate f.

[A modified version of Question 11 on the Spring 2017 exam]

  • A) 42.00
  • B) 44.20
  • C) 46.40
  • D) 48.60
  • E) 50.80

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Concepts tested

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