Actuarial Notes

SOA Exam FM Sample Question 445

Study guide: Exam FM-2

An investor owns two bonds, Bond 1 and Bond 2. At today's annual effective interest rate, the bonds have the following characteristics:

Bond 1 Bond 2
Present Value 20,400 20,400
Modified Duration (in years) 11.735 13.101

If the annual effective interest rate decreases by 50 basis points today, the first-order Macaulay approximations of the present value for Bond 1 and Bond 2 are 21,635.83 and X, respectively.

Calculate X.

  • A) 21,503.55
  • B) 21,596.97
  • C) 21,736.30
  • D) 21,779.69
  • E) 21,784.47

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