Actuarial Notes

SOA Exam FM Sample Question 110

Study guide: Exam FM-2

An insurance company wants to match liabilities of 25,000 payable in one year and 20,000 payable in two years with specific assets. The following assets are currently available:

  • i) One-year bond with an annual coupon of 6.75% at par
  • ii) Two-year bond with annual coupons of 4.50% at par
  • iii) Two-year zero-coupon bond yielding 5.00% annual effective

Calculate the smallest amount the company needs to disburse today to purchase assets that will exactly match these liabilities.

  • A) 41,220
  • B) 41,390
  • C) 41,560
  • D) 41,660
  • E) 41,750

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