Actuarial Notes

SOA Exam FM Sample Question 149

Study guide: Exam FM-2

A railroad company is required to pay 79,860, which is due three years from now. The company invests 15,000 in a bond with modified duration 1.80, and 45,000 in a bond with modified duration D_{mod}, to Redington immunize its position against small changes in the yield rate.

The annual effective yield rate for each of the bonds is 10%.

Calculate D_{mod}.

  • A) 2.73
  • B) 3.04
  • C) 3.34
  • D) 3.40
  • E) 3.65

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