Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 13

Study guide: Exam MAS-I

You are given the following information:

  • There are two independent lives (35) and (55)
  • The mortality of (35) follows the Illustrative Life Table
  • The mortality of (55) follows the Illustrative Life Table, except that the annualized mortality after age 80 stays constant at the age 80 rate, where q_{80} = 0.0803

Calculate the probability that (35) is the only one of the two that lives to age 90.

  • A) Less than 0.075
  • B) At least 0.075, but less than 0.085
  • C) At least 0.085, but less than 0.095
  • D) At least 0.095, but less than 0.105
  • E) At least 0.105

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Concepts tested

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