Actuarial Notes

SOA Exam FM Sample Question 106

Study guide: Exam FM-2

A company has liabilities of 573 due at the end of year 2 and 701 due at the end of year 5.

A portfolio comprises two zero-coupon bonds, Bond A and Bond B.

Determine which portfolio produces a Redington immunization of the liabilities using an annual effective interest rate of 7.0%.

  • A) Bond A: 1-year, current price 500; Bond B: 6-years, current price 500
  • B) Bond A: 1-year, current price 572; Bond B: 6-years, current price 428
  • C) Bond A: 3-years, current price 182; Bond B: 4-years, current price 1092
  • D) Bond A: 3-years, current price 637; Bond B: 4-years, current price 637
  • E) Bond A: 3.5 years, current price 1000; Bond B: Not used

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