Actuarial Notes

SOA Exam FM Sample Question 145

Study guide: Exam FM-2

An investor purchases two bonds. The bonds have the same annual effective yield rate i, with i > 0.

With respect to the annual effective yield rate, their modified durations are a years and b years, with 0 < a < b.

One of these two bonds has a Macaulay duration of c years, with a < c < b.

Determine which of the following is an expression, in years, for the Macaulay duration of the other bond.

  • A) bc/a
  • B) ac/b
  • C) ab/c
  • D) b + c - a
  • E) a + c - b

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