Actuarial Notes

SOA Exam FAM Sample Question 6.16

Study guide: Exam FAM

For a fully discrete 20-year endowment insurance of 100,000 on (30), you are given:

(i) d = 0.05

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

First Year: Percent of Premium First Year: Per Policy Renewal Years: Percent of Premium Renewal Years: Per Policy
Taxes 4% 0 4% 0
Sales Commission 35% 0 2% 0
Policy Maintenance 0% 250 0% 50

(iii) The net premium is 2143

Calculate the gross premium using the equivalence principle.

[Question 10 on the Spring 2014 exam]

  • A) 2410
  • B) 2530
  • C) 2800
  • D) 3130
  • E) 3280

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Concepts tested

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