Actuarial Notes

SOA Exam FAM Sample Question 7.23

Study guide: Exam FAM

For a 40-year endowment insurance of 10,000 issued to (25), you are given:

(i) i = 0.04

(ii) p_{25} = 0.995

(iii) \ddot{a}_{25:\overline{20}|} = 11.087

(iv) \ddot{a}_{25:\overline{40}|} = 16.645

(v) The annual level net premium is 216

(vi) A modified net premium reserving method is used for this policy, where the valuation premiums are:

  • A first year premium equal to the first year net cost of insurance,
  • Level premiums of \beta for years 2 through 20, and
  • Level premiums of 216 thereafter.

Calculate \beta.

[Question 15 on the Spring 2016 exam]

  • A) 140
  • B) 170
  • C) 200
  • D) 230
  • E) 260

Answer this question and see the worked solution

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