Actuarial Notes

SOA Exam FM Sample Question 447

Study guide: Exam FM-2

A perpetuity-immediate with level annual payments of k has a Macaulay duration of 32.25 years based on an annual effective interest rate of i. At the same annual effective interest rate, a perpetuity-due with level annual payments of 1.02k has a modified duration of X years.

Calculate X.

  • A) 30.28
  • B) 30.89
  • C) 31.25
  • D) 31.88
  • E) 32.22

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