Actuarial Notes

SOA Exam FAM Sample Question 4.16

Study guide: Exam FAM

You are given the following extract of ultimate mortality rates from a two-year select and ultimate mortality table:

x q_{x}
50 0.045
51 0.050
52 0.055
53 0.060

The select mortality rates satisfy the following:

  • q_{[x]} = 0.7q_{x}
  • q_{[x]+1} = 0.8q_{x+1}

You are also given that i = 0.04.

Calculate A^{1}_{[50]:\overline{3}|}.

[Question 5 on the Fall 2016 exam]

  • A) 0.08
  • B) 0.09
  • C) 0.10
  • D) 0.11
  • E) 0.12

Answer this question and see the worked solution

Concepts tested

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