Actuarial Notes

SOA Exam FM Sample Question 459

Study guide: Exam FM-2

A perpetuity pays 10,000 at the beginning of each year. The present value of the payments calculated using an annual effective interest rate of 7% is L.

The annual effective interest rate decreases to 5% immediately after the perpetuity is purchased. Using the first-order modified duration approximation, the estimated present value of the payments is M.

Calculate M - L.

  • A) 40,816
  • B) 43,673
  • C) 43,791
  • D) 47,290
  • E) 57,143

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