Actuarial Notes

SOA Exam FAM Sample Question 7.27

Study guide: Exam FAM

The gross annual premium, G, for a fully discrete 5-year endowment insurance of 1000 issued on (x) is calculated using the equivalence principle. You are given:

(i) 1000P_{x:\overline{5}|} = 187.00

(ii) The expense policy value at the end of the first year, _{1}V^{e} = -38.70

(iii) q_{x} = 0.008

(iv) Expenses, payable at the beginning of the year, are:

Year Percent of Premium Per Policy
First 25% 10
Renewal 5% 5

(v) i = 0.03

Calculate G.

[Question 17 on the Fall 2016 exam]

  • A) 200
  • B) 213
  • C) 226
  • D) 239
  • E) 252

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Concepts tested

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