Actuarial Notes

SOA Exam FAM Sample Question 7.28

Study guide: Exam FAM

For a special fully discrete whole life insurance of 1,000 on (45), you are given:

(i) The net premiums for year k are:

\begin{cases} P, & k = 1, 2, \ldots, 20 \\ P + W, & k = 21, 22, \ldots \end{cases}

(ii) Mortality follows the Standard Ultimate Life Table

(iii) i = 0.05

(iv) _{20}V, the net premium policy value at the end of the 20th year, is 0

Calculate W.

[A modified version of Question 15 on the Fall 2017 exam]

  • A) 12
  • B) 16
  • C) 20
  • D) 24
  • E) 28

Answer this question and see the worked solution

Concepts tested

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