Actuarial Notes

SOA Exam FM Sample Question 155

Study guide: Exam FM-2

SOA Life Insurance Company has a portfolio of two bonds:

  • Bond 1 is a bond with a Macaulay duration of 7.28 and a price of 35,000; and
  • Bond 2 is a bond with a Macaulay duration of 12.74 and a price of 65,000.

The price and Macaulay duration for both bonds were calculated using an annual effective interest rate of 4.32%.

Bailey estimates the value of this portfolio at an interest rate of i using the first-order Macaulay approximation to be 105,000.

Determine i.

  • A) 3.49%
  • B) 3.62%
  • C) 3.85%
  • D) 3.92%
  • E) 4.03%

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