Actuarial Notes

SOA Exam FM Sample Question 344

Study guide: Exam FM-2

A company faces the following liabilities at the end of the corresponding years:

Year 1 2 3 4
Liability 5,766 X 15,421 7,811

The company can invest in the following three annual coupon bonds redeemable at par:

Term (in years) Annual coupon rate
Bond A 1 1%
Bond B 3 5%
Bond C 4 7%

The company invests in each bond so that the asset and liability cash flows are exactly matched.

Calculate X.

  • A) 1221
  • B) 1245
  • C) 1290
  • D) 1318
  • E) 1375

Answer this question and see the worked solution

Concepts tested

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