Actuarial Notes

SOA Exam FM Sample Question 44

Study guide: Exam FM-2

A liability consists of a series of 15 annual payments of 35,000 with the first payment to be made one year from now.

The assets available to immunize this liability are five-year and ten-year zero-coupon bonds.

The annual effective interest rate used to value the assets and the liability is 6.2%. The liability has the same present value and duration as the asset portfolio.

Calculate the amount invested in the five-year zero-coupon bonds.

  • A) 127,000
  • B) 167,800
  • C) 208,600
  • D) 247,900
  • E) 292,800

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