Actuarial Notes

SOA Exam FM Sample Question 320

Study guide: Exam FM-2

An investor purchases two bonds having the same positive annual effective yield rate.

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 d years, with a < d < b.

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

  • A) bd/a
  • B) ad/b
  • C) ab/d
  • D) b+d-a
  • E) a+d-b

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