Actuarial Notes

SOA Exam FM Sample Question 154

Study guide: Exam FM-2

A bond has a modified duration of 8 and a price of 112,955 calculated using an annual effective interest rate of 6.4%.

E_{MAC} is the estimated price of this bond at an interest rate of 7.0% using the first-order Macaulay approximation.

E_{MOD} is the estimated price of this bond at an interest rate of 7.0% using the first-order modified approximation.

Calculate E_{MAC} - E_{MOD}.

  • A) 91
  • B) 102
  • C) 116
  • D) 127
  • E) 143

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